Ground state solutions and infinitely many solutions for a nonlinear Choquard equation

DOI10.1186/s13661-021-01573-yzbMath1489.35101OpenAlexW3216296367MaRDI QIDQ2126845

Tian-Fang Wang, Wen Zhang

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01573-y

zbMATH Keywords

nonlinear Choquard equationexistence of ground state solutions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (2)

Ground state solution for a class of Choquard equation with indefinite periodic potential ⋮ The ground state solutions to discrete nonlinear Choquard equations with Hardy weights

Cites Work

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• Nodal solutions for the Choquard equation
• Multiple solutions to a magnetic nonlinear Choquard equation
• Semi-classical states for the Choquard equation
• Ground state solutions for Hamiltonian elliptic system with inverse square potential
• Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
• Classification of positive solitary solutions of the nonlinear Choquard equation
• A note on Schrödinger-Newton systems with decaying electric potential
• Existence and multiplicity of solutions for fractional Choquard equations
• Infinitely many solutions for a gauged nonlinear Schrödinger equation
• On the variational principle
• On gravity's role in quantum state reduction
• Minimax theorems
• Multiple solutions for a quasilinear Schrödinger equation
• Ground states and multiple solutions for Choquard-Pekar equations with indefinite potential and general nonlinearity
• Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity
• Ground states and non-existence results for Choquard type equations with lower critical exponent and indefinite potentials
• Positive and sign changing solutions to a nonlinear Choquard equation
• Infinitely many solutions for a class of critical Choquard equation with zero mass
• Semiclassical solutions for Choquard equations with Berestycki-Lions type conditions
• Multi-bump solutions for Choquard equation with deepening potential well
• Existence of positive solutions for a class of quasilinear Schrödinger equations of Choquard type
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• On the planar Choquard equation with indefinite potential and critical exponential growth
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• Ground states for nonlinear fractional Choquard equations with general nonlinearities
• Uniqueness of Positive Bound States to Schrödinger Systems with Critical Exponents
• 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
• A strongly indefinite Choquard equation with critical exponent due to the Hardy–Littlewood–Sobolev inequality
• Semiclassical states for Choquard type equations with critical growth: critical frequency case ^*
• On fractional Choquard equations
• Existence of groundstates for a class of nonlinear Choquard equations
• A critical fractional Choquard–Kirchhoff problem with magnetic field
• Geometrically distinct solutions for quasilinear elliptic equations
• Classification of solutions for an integral equation

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