Vitaly Moroz
- Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics
2013/04/28 by Vitaly Moroz, Jean Van Schaftingen · 48 citations
Mathematics · #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities
2022/06/30 by Fashun Gao, Gao, Fashun, Vitaly Moroz +5 · 4 citations
Mathematics · #35A15 #35J20 #35J60 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
- Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
2017/10/11 by Jacopo Bellazzini, Marco Ghimenti, Carlo Mercuri +2 · 1 citation
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Contact Mechanics and Variational Inequalities
- Ground states of a nonlocal variational problem and Thomas-Fermi limit for the Choquard equation
2024/06/26 by Damiano Greco, Yanghong Huang, Greco, Damiano +5 · 1 citation
Mathematics · #35A23 (Primary) #35B09 #35B33 #35J20 #35J60 (Secondary) #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics