Ground state solution for a class of Choquard equation with indefinite periodic potential

DOI10.1016/j.aml.2022.108205zbMath1491.35236OpenAlexW4281401074WikidataQ113880625 ScholiaQ113880625MaRDI QIDQ2673751

Fang-Fang Liao, Fu-Lai Chen, Shi-feng Geng

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108205

zbMATH Keywords

Choquard equationexistence of ground state 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

On nonlinear fractional Choquard equation with indefinite potential and general nonlinearity ⋮ The ground state solutions to discrete nonlinear Choquard equations with Hardy weights ⋮ Ground state solution for fractional \(p\)-Choquard equations with upper critical exponent

Cites Work

• Unnamed Item
• Ground state solutions for Hamiltonian elliptic system with inverse square potential
• On a periodic Schrödinger equation with nonlocal superlinear part
• Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Ground state solutions for some indefinite variational problems
• Minimax theorems
• Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
• Ground state solutions and infinitely many solutions for a nonlinear Choquard equation
• Ground states and multiple solutions for Hamiltonian elliptic system with gradient term
• On the planar Choquard equation with indefinite potential and critical exponential growth
• Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation
• 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