Infinitely many non-radial solutions for a Choquard equation

DOI10.1515/anona-2022-0224zbMath1485.35232OpenAlexW4225341674MaRDI QIDQ2117413

Fashun Gao, Min-Bo Yang

Publication date: 21 March 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0224

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityChoquard equationexistence of infinitely many solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items

Existence and asymptotical behavior of multiple solutions for the critical Choquard equation, Multiplicity of concentrating solutions for Choquard equation with critical growth, Periodic solutions for second-order even and noneven Hamiltonian systems, Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory

Cites Work

• Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
• Uniqueness and nondegeneracy of ground states for Choquard equations in three dimensions
• Uniqueness of ground states for pseudorelativistic Hartree equations
• Classification of positive solitary solutions of the nonlinear Choquard equation
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• Nondegeneracy of ground states and multiple semiclassical solutions of the Hartree equation for general dimensions
• Uniqueness and nondegeneracy of solutions for a critical nonlocal equation
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
• Multi-bump solutions for Choquard equation with deepening potential well
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
• Strongly interacting bumps for the Schrödinger–Newton equations
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Semiclassical states for Choquard type equations with critical growth: critical frequency case ^*
• Existence of solutions for critical Choquard equations via the concentration-compactness method