Nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponents

DOI10.3934/cpaa.2021022zbMath1466.35164OpenAlexW3148749995MaRDI QIDQ2032096

Anmin Mao, Yanbin Sang, Xiaorong Luo

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021022

zbMATH Keywords

variational methodscritical exponentnon-existenceHardy-Littlewood-Sobolev inequalityChoquard equationsexistene

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Related Items

Multiplicity of solutions to linearly coupled Hartree systems with critical exponent ⋮ Fractional Kirchhoff-Choquard equations involving upper critical exponent and general nonlinearity ⋮ Sign-changing solutions to the critical Choquard equation ⋮ Multiple solutions of \(p\)-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents ⋮ Normalized ground states for the Schrödinger equation with Hartree type and square-root nonlinearities

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