Yr Athro Vitaly Moroz

Athro, Mathematics

+44 (0) 1792 602763

v.moroz@abertawe.ac.uk

322
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae

Ar gael ar gyfer Goruchwyliaeth Ôl-raddedig

Dolenni Ymchwil

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

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Scopus

Trosolwg

Rwy'n fathemategydd gydag arbenigedd ymchwil mewn dadansoddi Hafaliadau Differol Rhannol Aflinol a Chalcwlws Amrywiadau, a chyda diddordeb arbennig yn yr hafaliadau aflinol sydd â rhyngweithiadau anlleol. Yn ystod y degawd diwethaf dechreuodd hafaliadau o'r fath ddod i'r amlwg fel paradeim mathemategol ar gyfer modelu ymddygiad cyfunol systemau aml-gorff hunan-ryngweithiol ar wahanol raddfeydd, o atom a moleciwlau i batrymau ymgasglu mewn heidiau a grwpiau cymdeithasol anifeiliaid a hyd at ffurfiant tyllau duon a galaethau. Yr ymchwil fwyaf nodedig a gyflawnwyd gennyf yn y maes hwn yw adfywiad a datblygiad sylweddol theori hafaliadau Choquard. Cyhoeddwyd canlyniadau'r gwaith hwn, a ysgrifennwyd ar y cyd â J. Van Schaftingen, mewn cyfres o bapurau ymchwil yn 2013-17. Ar hyn o bryd, mae pump o'r papurau hyn yn cael eu rhestru gan wefan Web of Science fel papurau y dyfynnir ohonynt fwyaf mewn Mathemateg (1% uchaf y dyfyniadau yn fyd-eang mewn maes mewn blwyddyn benodol). Darllenwch fwy am fy ymchwil yma:

FINDING MEANING AND UNDERSTANDING IN OUR WORLD

Mae rhagor o wybodaeth am fy ymchwil a'm haddysgu ar gael ar fy Hafan Bersonol ar y We.

Meysydd Arbenigedd

Nonlinear Partial Differential Equations
Calculus of Variations
Hafaliadau Differol Rhannol Aflinol
Calcwlws Amrywiadau
Damcaniaeth bosibl
Dulliau topolegol o ddadansoddi aflinol
Hafaliadau aflinol gyda rhyngweithiadau anlleol
Hafaliadau Choquard

Cyhoeddiadau

Uchafbwyntiau Ymchwil

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

Holl Ymchwil

Erthyglau Cylchgronau

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

Penodau Llyfrau

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

Cyfraniadau Cynadleddau

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

Goruchwyliaeth

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

PhD

Goruchwyliwr arall: Dr Dmitri Finkelshtein
Thomas-Fermi type variational problems with low regularity. (cyfredol)

PhD

Goruchwyliwr arall: Dr Dmitri Finkelshtein
Existence and Optimization of the Critical Speed for Travelling Front Solutions with Convection in Unbounded Cylinders (dyfarnwyd 2024)

PhD

Goruchwyliwr arall: Prof Elaine Crooks
Analysis of reaction-diffusion equations on a time-dependent domain (dyfarnwyd 2022)

PhD

Goruchwyliwr arall: Prof Elaine Crooks

Modiwlau a Addysgir

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.
MA-M06 Mathematics for Data Science

The module provides a basic introduction to mathematical foundations for data science and machine learning. It covers essential concepts from linear algebra and calculus that are of direct utility to analysis of large data sets. The module includes basic problems in one-dimensional Calculus and Linear Algebra that illustrate concepts of differentiation and integration of functions of one variable, operations with matrices and methods for solving linear systems of equations. It also highlights the use of Python in the numerical solution of these problems, as well as in symbolic computation.
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.

Rolau Eraill

Cyfarwyddwr Ymchwil, Yr Adran Fathemateg, Prifysgol Abertawe

2017 - Presennol
Aelod o Goleg yr Adolygwyr Arbenigol, Sefydliad Gwyddoniaeth Ewrop (ESF)

2015 - Presennol
Aelod o'r Bwrdd Golygyddol, The Royal Society of Edinburgh Proceedings A

2013 - Presennol
Golygydd pwnc yn Analysis, Glasgow Mathematical Journal

2010 - Presennol
Aelod o'r Bwrdd Golygyddol, Complex Variables and Elliptic Equations

2011 - Presennol

Cyflwyniadau, Darlithoedd a Chynadleddau a wahoddwyd

Positivity principles and decay of solutions in semilinear elliptic problems

Mawrth 2020

Prifysgol Padua, Yr Eidal
Singular problem associated to quasilinear equation

Mawrth 2020

Gweithdy Ar-lein i ddathlu pen-blwyddi Marie-Françoise Bidaut-Véron a Laurent Véron yn 70 oed
Thomas-Fermi type models for graphene

Medi 2019

Alghero, Yr Eidal
Sharp Gagliardo-Nirenberg type inequalities in Coulomb-Sobolev spaces

Mehefin 2019

Prifysgol Tsinghua, Beijing, Tsieina
Symmetries and Asymptotic patterns in Nonlinear Partial Differential Equations

Mehefin 2019

Prifysgol Abertawe
Ground-states of a Schrodinger-Poisson-Slater type equation

Ionawr 2019

Sefydliad Gwyddoniaeth a Thechnoleg Uwch Korea (KAIST), Daejeon, De Korea
A survey on Choquard equations

Rhagfyr 2018

Prifysgol Osaka Pretwithe, Siapan
Asymptotic behaviour in nonlinear elliptic and parabolic problems

Gorffennaf 2018

Hafaliadau a Chymwysiadau Differol, Taipei, Taiwan
Gweithdy'r DU-Siapan ar Ddadansoddi Hafaliadau Differol Rhannol Aflinol

Mai 2018

Prifysgol Abertawe
Gweithdy'r DU-Japan ar Ddadansoddi Hafaliadau Differol Rhannol Aflinol

2018

,Prifysgol Abertawe
Density-functional theory models for graphene

Mai 2018

Seminar Dadansoddi Llundain, Llundain
Thomas-Fermi type models of external charge screening in graphene

Hydref 2018

Seminar Batsheva de Rothschild ar "Hardy-type Inequalities" - ar achlysur pen-blwydd Moshe Marcus yn 80 oed

Yr Athro Vitaly Moroz

Rhif ffôn

Cyfeiriad ebost

Dolenni Ymchwil

Trosolwg

Meysydd Arbenigedd

Uchafbwyntiau Ymchwil

Holl Ymchwil

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

Thomas-Fermi type variational problems with low regularity. (cyfredol)

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

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

MA-201 Multi-variable analysis

MA-202 Metric spaces and measure theory

MA-M06 Mathematics for Data Science

MAW201 Dadansoddi Aml-Newidyn

MAW202 Gofodau Metrig a Theori Mesur

Cyfarwyddwr Ymchwil, Yr Adran Fathemateg, Prifysgol Abertawe

Aelod o Goleg yr Adolygwyr Arbenigol, Sefydliad Gwyddoniaeth Ewrop (ESF)

Aelod o'r Bwrdd Golygyddol, The Royal Society of Edinburgh Proceedings A

Golygydd pwnc yn Analysis, Glasgow Mathematical Journal

Aelod o'r Bwrdd Golygyddol, Complex Variables and Elliptic Equations

Positivity principles and decay of solutions in semilinear elliptic problems

Singular problem associated to quasilinear equation

Thomas-Fermi type models for graphene

Sharp Gagliardo-Nirenberg type inequalities in Coulomb-Sobolev spaces

Symmetries and Asymptotic patterns in Nonlinear Partial Differential Equations

Ground-states of a Schrodinger-Poisson-Slater type equation

A survey on Choquard equations

Asymptotic behaviour in nonlinear elliptic and parabolic problems

Gweithdy'r DU-Siapan ar Ddadansoddi Hafaliadau Differol Rhannol Aflinol

Gweithdy'r DU-Japan ar Ddadansoddi Hafaliadau Differol Rhannol Aflinol

Density-functional theory models for graphene

Thomas-Fermi type models of external charge screening in graphene