Professor Vitaly Moroz

Professor

Mathematics

+44 (0) 1792 602763

v.moroz@swansea.ac.uk

Office - 322
Third Floor
Computational Foundry
Bay Campus

Available For Postgraduate Supervision

Research Links

https://orcid.org/0000-0003-3302-8782

ResearchGate

Google Scholar

ResearcherID

Scopus

About

I am a mathematician specializing in the analysis of Nonlinear Partial Differential Equations and Calculus of Variations, with a specific focus on nonlinear equations featuring nonlocal interactions. Over the past decade, such equations have emerged as a mathematical framework for modelling the collective behaviour of self-interacting many-body systems at various scales, ranging from atoms and molecules to animal swarm patterns, social groups, and even the formation of black holes and dark matter halos. My most notable research accomplishment in this area is the revival and substantial advancement of the Choquard equation theory. This work, co-authored with Jean Van Schaftingen, was published in a series of research articles from 2013 to 2017. Five of these articles are currently recognized as Highly Cited Papers in Mathematics by the Web of Science, placing them in the top 1% of cited papers globally in the field for a given year. You can learn more about my research here:

FINDING MEANING AND UNDERSTANDING IN OUR WORLD

Further information about my research and teaching is available at my PERSONAL WEBPAGE

Areas Of Expertise

Nonlinear Partial Differential Equations
Calculus of Variations
Potential theory
Topological methods of nonlinear analysis
Nonlinear equations with nonlocal interactions
Choquard equations
Thomas-Fermi type models
Mathematical analysis of graphene

Publications

Research Highlights

Ma, S. & Moroz, V. (2024). Asymptotic profiles for Choquard equations with combined attractive nonlinearities. Journal of Differential Equations, 412, 613-689.
https://doi.org/10.1016/j.jde.2024.08.047, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67495
Moroz, V. & Muratov, C. (2024). Thomas–Fermi theory of out-of-plane charge screening in graphene. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2294)
https://doi.org/10.1098/rspa.2023.0570, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66548
Tang, Y., Huang, Y., Liu, Z., & Moroz, V. (2024). Symmetry breaking and multiple solutions for the Schrödinger–Poisson–Slater equation. Zeitschrift für angewandte Mathematik und Physik, 75(3)
https://doi.org/10.1007/s00033-024-02261-4, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67385
Ma, S. & Moroz, V. (2024). Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity. Nonlinear Analysis, 239, 113423
https://doi.org/10.1016/j.na.2023.113423, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64924
http://dx.doi.org/10.1016/j.na.2023.113423
Moroz, V. & Ma, S. (2023). Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity. Mathematische Zeitschrift, 304(13)
https://doi.org/10.1007/s00209-023-03271-0, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63145
Gao, F., Moroz, V., Yang, M., & Zhao, S. (2022). Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities. Calculus of Variations and Partial Differential Equations, 61(6)
https://doi.org/10.1007/s00526-022-02340-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa61534
Liu, Z. & Moroz, V. (2022). Limit profiles for singularly perturbed Choquard equations with local repulsion. Calculus of Variations and Partial Differential Equations, 61(4)
https://doi.org/10.1007/s00526-022-02255-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60163
Liu, Z. & Moroz, V. (2022). Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation. Nonlinear Analysis, 218, 112778
https://doi.org/10.1016/j.na.2021.112778, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59226
Ghergu, M., Liu, Z., Miyamoto, Y., & Moroz, V. (2021). Nonlinear Inequalities with Double Riesz Potentials. Potential Analysis, 59
https://doi.org/10.1007/s11118-021-09962-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58510
Ghergu, M., Miyamoto, Y., & Moroz, V. (2021). Polyharmonic inequalities with nonlocal terms. Journal of Differential Equations, 296, 799-821.
https://doi.org/10.1016/j.jde.2021.06.019, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa57184

All Research

Journal Articles

Ma, S. & Moroz, V. (2024). Asymptotic profiles for Choquard equations with combined attractive nonlinearities. Journal of Differential Equations, 412, 613-689.
https://doi.org/10.1016/j.jde.2024.08.047, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67495
Moroz, V. & Muratov, C. (2024). Thomas–Fermi theory of out-of-plane charge screening in graphene. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2294)
https://doi.org/10.1098/rspa.2023.0570, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa66548
Tang, Y., Huang, Y., Liu, Z., & Moroz, V. (2024). Symmetry breaking and multiple solutions for the Schrödinger–Poisson–Slater equation. Zeitschrift für angewandte Mathematik und Physik, 75(3)
https://doi.org/10.1007/s00033-024-02261-4, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa67385
Ma, S. & Moroz, V. (2024). Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity. Nonlinear Analysis, 239, 113423
https://doi.org/10.1016/j.na.2023.113423, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa64924
http://dx.doi.org/10.1016/j.na.2023.113423
Moroz, V. & Ma, S. (2023). Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity. Mathematische Zeitschrift, 304(13)
https://doi.org/10.1007/s00209-023-03271-0, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa63145
Gao, F., Moroz, V., Yang, M., & Zhao, S. (2022). Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities. Calculus of Variations and Partial Differential Equations, 61(6)
https://doi.org/10.1007/s00526-022-02340-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa61534
Liu, Z. & Moroz, V. (2022). Limit profiles for singularly perturbed Choquard equations with local repulsion. Calculus of Variations and Partial Differential Equations, 61(4)
https://doi.org/10.1007/s00526-022-02255-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa60163
Liu, Z. & Moroz, V. (2022). Asymptotic profile of ground states for the Schrödinger–Poisson–Slater equation. Nonlinear Analysis, 218, 112778
https://doi.org/10.1016/j.na.2021.112778, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa59226
Ghergu, M., Liu, Z., Miyamoto, Y., & Moroz, V. (2021). Nonlinear Inequalities with Double Riesz Potentials. Potential Analysis, 59
https://doi.org/10.1007/s11118-021-09962-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa58510
Ghergu, M., Miyamoto, Y., & Moroz, V. (2021). Polyharmonic inequalities with nonlocal terms. Journal of Differential Equations, 296, 799-821.
https://doi.org/10.1016/j.jde.2021.06.019, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa57184
Gao, F., Liu, H., Moroz, V., & Yang, M. (2021). High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. Journal of Differential Equations, 287, 329-375.
https://doi.org/10.1016/j.jde.2021.03.051, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa56630
Kabeya, Y. & Moroz, V. (2020). Gelfand problem on a large spherical cap. Journal of Elliptic and Parabolic Equations, 7, 1-23.
https://doi.org/10.1007/s41808-020-00091-9, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa55796
Gordon, P., Moroz, V., & Nazarov, F. (2020). Gelfand-type problem for turbulent jets. Journal of Differential Equations, 269(7), 5959-5996.
https://doi.org/10.1016/j.jde.2020.04.026, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa54048
Alyobi, M., Barnett, C., Muratov, C., Moroz, V., & Cobley, R. (2020). The voltage-dependent manipulation of few-layer graphene with a scanning tunneling microscopy tip. Carbon, 163, 379-384.
https://doi.org/10.1016/j.carbon.2020.03.046, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa53851
Albalawi, W., Mercuri, C., & Moroz, V. (2020). Groundstate asymptotics for a class of singularly perturbed p-Laplacian problems in $${{\mathbb {R}}}^N$$. Annali di Matematica Pura ed Applicata (1923 -), 199(1), 23-63.
https://doi.org/10.1007/s10231-019-00865-6, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa50315
Bellazzini, J., Ghimenti, M., Mercuri, C., Moroz, V., & Schaftingen, J. (2018). Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces. Transactions of the American Mathematical Society, 370(11), 8285-8310.
https://doi.org/10.1090/tran/7426, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa35917
Marcus, M. & Moroz, V. (2018). Moderate solutions of semilinear elliptic equations with Hardy potential under minimal restrictions on the potential. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 18(1), 39-64.
https://doi.org/10.2422/2036-2145.201604_002, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31878
Bandle, C., Marcus, M., & Moroz, V. (2017). Boundary singularities of solutions of semilinear elliptic equations in the half-space with a Hardy potential. Israel Journal of Mathematics, 222(1), 487-514.
https://doi.org/10.1007/s11856-017-1598-4, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31879
Moroz, V. & Van Schaftingen, J. (2017). A guide to the Choquard equation. Journal of Fixed Point Theory and Applications, 19(1), 773-813.
https://doi.org/10.1007/s11784-016-0373-1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31722
Ghimenti, M., Moroz, V., & Van Schaftingen, J. (2016). Least action nodal solutions for the quadratic Choquard equation. Proceedings of the American Mathematical Society, 145(2), 737-747.
https://doi.org/10.1090/proc/13247, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa31327
Mercuri, C., Moroz, V., & Schaftingen, J. (2016). Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency. Calculus of Variations and Partial Differential Equations, 55(6)
https://doi.org/10.1007/s00526-016-1079-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa30794
Lu, J., Moroz, V., & Muratov, C. (2015). Orbital-free density functional theory of out-of-plane charge screening in graphene.. Journal of Nonlinear Science, 25, 1391-1430.
https://doi.org/10.1007/s00332-015-9259-4, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa24433
Moroz, V. & Van Schaftingen, J. (2015). Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent. Communications in Contemporary Mathematics, 17, 1550005
https://doi.org/10.1142/S0219199715500054, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19681
Moroz, V. & Van Schaftingen, J. (2015). Existence of groundstates for a class of nonlinear Choquard equations. Transactions of the American Mathematical Society, 367(9), 6557-6579.
https://doi.org/10.1090/S0002-9947-2014-06289-2, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa21596
Moroz, V. & Schaftingen, J. (2015). Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential. Proceedings of the Edinburgh Mathematical Society, 58, 255-271.
https://doi.org/10.1017/S0013091513000588, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19679
Moroz, V. & Van Schaftingen, J. (2015). Semi-classical states for the Choquard equation. Calculus of Variations and Partial Differential Equations, 52(1-2), 199-235.
https://doi.org/10.1007/s00526-014-0709-x, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19680
Moroz, V. & Muratov, C. (2014). Asymptotic properties of ground states of scalar field equations with a vanishing parameter. Journal of the European Mathematical Society, 16(5), 1081-1109.
https://doi.org/10.4171/jems/455, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa14016
http://arxiv.org/abs/1202.3426
Gordon, P., Moroz, V., & Moroz, V. (2014). Gelfand-type problem for two-phase porous media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2163), 20130573-20130573.
https://doi.org/10.1098/rspa.2013.0573, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19678
Moroz, V. & Schaftingen, J. (2013). Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Journal of Differential Equations, 254(8), 3089-3145.
https://doi.org/10.1016/j.jde.2012.12.019, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa14017
Moroz, V. & Van Schaftingen, J. (2013). Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics. Journal of Functional Analysis, 265(2), 153-184.
https://doi.org/10.1016/j.jfa.2013.04.007, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19677
Moroz, V. & Van Schaftingen, J. (2012). Nonlocal Hardy type inequalities with optimal constants and remainder terms.. Ann. Univ. Buchar. Math., 3 (LXI), 187-200.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37282
http://fmi.unibuc.ro/ro/anale/matematica/2_2012/moroz_van_schaftingen.pdf
Moroz, V. & Schaftingen, J. (2010). Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Calculus of Variations and Partial Differential Equations, 37(1-2), 1-27.
https://doi.org/10.1007/s00526-009-0249-y, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1078
Moroz, V. (2009). Positive solutions to sublinear second-order divergence type elliptic equations in cone-like domains. Journal of Mathematical Analysis and Applications, 352(1), 418-426.
https://doi.org/10.1016/j.jmaa.2008.05.062, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1081
Moroz, V. & Schaftingen, J. (2009). Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Comptes Rendus Mathematique, 347(15-16)-926.
https://doi.org/10.1016/j.crma.2009.05.009, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7780
Bandle, C., Moroz, V., Reichel, W., & Moroz, V. (2008). 'Boundary blowup' type sub-solutions to semilinear elliptic equations with Hardy potential. Journal of the London Mathematical Society, 77(2), 503-523.
https://doi.org/10.1112/jlms/jdm104, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1079
Liskevich, V., Lyakhova, S., & Moroz, V. (2007). Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains. Journal of Differential Equations, 232(1), 212-252.
https://doi.org/10.1016/j.jde.2006.09.001, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1659
Liskevich, V., Lyakhova, S., & Moroz, V. (2006). Positive solutions to singular semilinear elliptic equations with critical potential on cone-like domains.. Advances in Differential Equations, 11(4), 361-398.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37290
http://projecteuclid.org/euclid.ade/1355867701
Kondratiev, V., Liskevich, V., Moroz, V., & Sobol, Z. (2005). A critical phenomenon for sublinear elliptic equations in cone-like domains. Bulletin of the London Mathematical Society, 37(4), 585-591.
https://doi.org/10.1112/S0024609305004492, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1658
Kondratiev, V., Liskevich, V., & Moroz, V. (2005). Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 22(1), 25-43.
https://doi.org/10.1016/j.anihpc.2004.03.003, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1644
Faraci, F. & Moroz, V. (2003). Solutions of Hammerstein Integral Equations via a Variational Principle. Journal of Integral Equations and Applications, 15(4), 385-402.
https://doi.org/10.1216/jiea/1181074983, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa19683
Moroz, V. (2003). On the Morse critical groups for indefinite sublinear elliptic problems. Nonlinear Analysis: Theory, Methods & Applications, 52(5), 1441-1453.
https://doi.org/10.1016/S0362-546X(02)00174-8, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1657
Jacob, N. & Moroz, V. (2002). On the Log-Laplace Equation for Nonlocal Operators Generating Sub-Markovian Semigroups. Applied Mathematics and Optimization, 45(2), 237-250.
https://doi.org/10.1007/s00245-001-0037-3, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37284
Moroz, V. (2001). On Euler Equations in Higher Order Sobolev Spaces. Potential Analysis, 14(1), 93-106.
https://doi.org/10.1023/A:1026565515022, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37308
Moroz, V., Zabrejko, P., & Moroz, V. (1999). On Hammerstein Equations with Natural Growth Conditions. Zeitschrift für Analysis und ihre Anwendungen, 18(3), 625-638.
https://doi.org/10.4171/ZAA/902, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37286
Moroz, V. (1999). Estimates for the number of solutions of a class of semilinear elliptic problems. Doklady Mathematics, 59(1), 116-118.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37309
https://elibrary.ru/item.asp?id=27766064
Moroz, V., Vignoli, A., & Zabreiko, P. (1998). On the three critical points theorem.. Topological Methods in Nonlinear Analysis, 11(1), 103-113.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37289
https://projecteuclid.org/euclid.tmna/1476842402
Moroz, V. (1997). Solutions of superlinear at zero elliptic equations via Morse theory.. Topological Methods in Nonlinear Analysis, 10(2), 387-397.
SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37288
https://projecteuclid.org/euclid.tmna/1476842213
Moroz, V., Zabrejko, P., & Moroz, V. (1996). A Variant of the Mountain Pass Theorem and its Application to Hammerstein Integral Equations. Zeitschrift für Analysis und ihre Anwendungen, 15(4), 985-997.
https://doi.org/10.4171/ZAA/741, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37287

Book Chapters

Bandle, C., Moroz, V., & Reichel, W. (2010). Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity. Around the Research of Vladimir Maz'ya II (pp. 1-22).
https://doi.org/10.1007/978-1-4419-1343-2_1, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa1080
Jacob, N. & Moroz, V. (2000). On the Semilinear Dirichlet Problem for a Class of Nonlocal Operators Generating Dirichlet Forms. Recent Trends in Nonlinear Analysis -204).
https://doi.org/10.1007/978-3-0348-8411-2_18, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa37285

Conference Contributions

Liskevich, V., Lyakhova, S., & Moroz, V. (2005). Positive solutions to semilinear elliptic equations with critical lower order terms. In EQUADIFF 2003 (pp. 549-554). World Scientific.
https://doi.org/10.1142/9789812702067_0091, SU Repository: https://cronfa.swan.ac.uk/Record/cronfa24606

Supervision

Mathematical analysis of singular Thomas-Fermi type models (current)

PhD

Other supervisor: Dr Dmitri Finkelshtein
Thomas–Fermi Type Variational Problems With Low Regularity (current)

PhD

Other supervisor: Dr Dmitri Finkelshtein
Existence and Optimization of the Critical Speed for Travelling Front Solutions with Convection in Unbounded Cylinders (awarded 2024)

PhD

Other supervisor: Prof Elaine Crooks
Analysis of reaction-diffusion equations on a time-dependent domain (awarded 2022)

PhD

Other supervisor: Prof Elaine Crooks

Taught Modules

MA-201 Multi-variable analysis

The module introduces fundamental concepts of the analysis in n-dimensional spaces such convergence, continuity, differentiability, integrability and elements of vector calculus.
MA-202 Metric spaces and measure theory

The module extends ideas such as continuity and convergence to metric spaces and introduces key concepts in the general theory of measure and Lebesgue integration.
MAW201 Dadansoddi Aml-Newidyn

The module introduces fundamental concepts of the analysis in n-dimensional spaces such convergence, continuity, differentiability, integrability and elements of vector calculus.
MAW202 Gofodau Metrig a Theori Mesur

The module extends ideas such as continuity and convergence to metric spaces and introduces key concepts in the general theory of measure and Lebesgue integration.

Other Roles

Head of Department, Department of Mathematics, Swansea University

2021 - Present
Director of Research, Department of Mathematics, Swansea University

2017 - 2021
member of the College of Expert Reviewers, European Science Foundation (ESF)

2015 - Present
Editorial Board member, Philosophical Transactions of the Royal Society A

2022 - Present
Editorial Board member, The Royal Society of Edinburgh Proceedings A

2013 - Present
Subject editor in Analysis, Glasgow Mathematical Journal

2010 - 2021
Editorial Board member, Complex Variables and Elliptic Equations

2011 - 2021

Invited Presentations, Lectures and Conferences

JSPS (Japan Society for the Promotion of Science) Research Fellow

January 2023

Osaka Metropolitan University, Japan
Invited talk on "Limit profiles for singularly perturbed Choquard equations"

July 2022

Workshop on "Frontiers in Nonlocal Nonlinear PDEs", Anacapri, Italy
Lecture course on "Criticality theory for Schrödinger operators"

March 2022

The Taught Course Centre (TCC)
Lecture course on "Positivity principles and decay of solutions in semilinear elliptic problems"

September 2020

University of Padua, Italy
Invited talk on "Singular problem associated to quasilinear equation"

June 2020

Online Workshop in celebration of Marie-Françoise Bidaut-Véron and Laurent Véron’s 70th birthday
Invited talk on "Thomas-Fermi type models for graphene"

September 2019

Workshop "Nonlinear days in Alghero", Alghero, Italy
Invited talk "Sharp Gagliardo-Nirenberg type inequalities in Coulomb-Sobolev spaces"

June 2019

Tsinghua University, Beijing, China
Workshop organiser

June 2019

Workshop on "Symmetries and Asymptotic patterns in Nonlinear Partial Differential Equations", University of Swansea
Invited talk on "Ground-states of a Schrodinger-Poisson-Slater type equation"

January 2019

Korea Advanced Institute of Science & Technology (KAIST), Daejeon, South Korea
Invited talk "A survey on Choquard equations"

December 2018

Osaka Prefecture University, Japan
Special session organiser "Asymptotic behaviour in nonlinear elliptic and parabolic problems"

July 2018

12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan
Workshop organiser

May 2018

UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations, Swansea University
Invited talk "Density-functional theory models for graphene"

May 2018

London Analysis Seminar, London
Invited talk on "Thomas-Fermi type models of external charge screening in graphene"

October 2018

The Batsheva de Rothschild Seminar on Hardy-type Inequalities - on the occasion of Moshe Marcus’ 80th birthday
Erasmus+ lecture course on "Variational methods in nonlinear PDEs"

April 2017

Texas A&M University, Texas, USA

Professor Vitaly Moroz

Telephone number

Email address

LinkedIn Account

Research Links

About

Areas Of Expertise

Research Highlights

All Research

Mathematical analysis of singular Thomas-Fermi type models (current)

Thomas–Fermi Type Variational Problems With Low Regularity (current)

Existence and Optimization of the Critical Speed for Travelling Front Solutions with Convection in Unbounded Cylinders (awarded 2024)

Analysis of reaction-diffusion equations on a time-dependent domain (awarded 2022)

MA-201 Multi-variable analysis

MA-202 Metric spaces and measure theory

MAW201 Dadansoddi Aml-Newidyn

MAW202 Gofodau Metrig a Theori Mesur

Head of Department, Department of Mathematics, Swansea University

Director of Research, Department of Mathematics, Swansea University

member of the College of Expert Reviewers, European Science Foundation (ESF)

Editorial Board member, Philosophical Transactions of the Royal Society A

Editorial Board member, The Royal Society of Edinburgh Proceedings A

Subject editor in Analysis, Glasgow Mathematical Journal

Editorial Board member, Complex Variables and Elliptic Equations

JSPS (Japan Society for the Promotion of Science) Research Fellow

Invited talk on "Limit profiles for singularly perturbed Choquard equations"

Lecture course on "Criticality theory for Schrödinger operators"

Lecture course on "Positivity principles and decay of solutions in semilinear elliptic problems"

Invited talk on "Singular problem associated to quasilinear equation"

Invited talk on "Thomas-Fermi type models for graphene"

Invited talk "Sharp Gagliardo-Nirenberg type inequalities in Coulomb-Sobolev spaces"

Workshop organiser

Invited talk on "Ground-states of a Schrodinger-Poisson-Slater type equation"

Invited talk "A survey on Choquard equations"

Special session organiser "Asymptotic behaviour in nonlinear elliptic and parabolic problems"

Workshop organiser

Invited talk "Density-functional theory models for graphene"

Invited talk on "Thomas-Fermi type models of external charge screening in graphene"

Erasmus+ lecture course on "Variational methods in nonlinear PDEs"