Infinitely many bound state solutions of Choquard equations with potentials

DOI10.1007/s00033-018-1015-9zbMath1401.35055OpenAlexW2892198937MaRDI QIDQ1990635

Xiaonan Liu, Xu Zhang, Shiwang Ma

Publication date: 25 October 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-018-1015-9

zbMATH Keywords

Riesz potentialinfinitely many solutionsChoquard equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items

Nehari-type ground state solutions for a Choquard equation with doubly critical exponents ⋮ Unnamed Item ⋮ Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation ⋮ Ground state solutions for a class of Schrödinger-Poisson systems with Hartree-type nonlinearity ⋮ Positive solutions for Choquard equation in exterior domains ⋮ Saddle solutions for the critical Choquard equation ⋮ Infinitely many bound states for Choquard equations with local nonlinearities ⋮ Ground state solutions for general Choquard equations with a variable potential and a local nonlinearity ⋮ Multiple bound states of higher topological type for semi-classical Choquard equations ⋮ A positive solution of asymptotically periodic Choquard equations with locally defined nonlinearities

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