Infinitely many solutions for a class of critical Choquard equation with zero mass

DOI10.12775/TMNA.2019.038zbMath1433.35035MaRDI QIDQ2336087

Carlos Alberto Santos, Jiazheng Zhou, Fashun Gao, Min-Bo Yang

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1563242560

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityinfinitely many solutionscritical Choquard equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Ground state solutions and infinitely many solutions for a nonlinear Choquard equation, Multiple solutions for critical Choquard-Kirchhoff type equations, Solutions for a class of quasilinear Choquard equations with Hardy-Littlewood-Sobolev critical nonlinearity, Semiclassical states for critical Choquard equations with critical frequency, Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential

Cites Work

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• Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
• Multiple solutions to a magnetic nonlinear Choquard equation
• On a periodic Schrödinger equation with nonlocal superlinear part
• On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
• Classification of positive solitary solutions of the nonlinear Choquard equation
• A fourth order elliptic equation with nonlinear boundary conditions
• The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation
• On gravity's role in quantum state reduction
• Singularly perturbed critical Choquard equations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
• 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
• Remarks on a class of elliptic problems with critical exponents
• A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality
• Existence of solutions for critical Choquard equations via the concentration-compactness method
• Existence of groundstates for a class of nonlinear Choquard equations