Existence of a ground state solution for Choquard equation with the upper critical exponent

DOI10.1016/j.camwa.2018.08.052zbMath1442.35160OpenAlexW2890067832MaRDI QIDQ2203026

Chun-Lei Tang, Gui-Dong Li

Publication date: 1 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.052

zbMATH Keywords

critical growthChoquard equationpositive ground state solutionPohožaev manifold

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items

Ground state solutions for Choquard equations with Hardy potentials and critical nonlinearity ⋮ Multiple and asymptotical behavior of solutions to a Choquard equation with singularity ⋮ Nehari-type ground state solutions for a Choquard equation with doubly critical exponents ⋮ Normalized bound states for the Choquard equations in exterior domains ⋮ Unnamed Item ⋮ The Brezis-Nirenberg type double critical problem for the Choquard equation ⋮ Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents ⋮ Ground state solutions for a class of Choquard equations involving doubly critical exponents ⋮ Ground state solutions for a Choquard equation with lower critical exponent and local nonlinear perturbation ⋮ The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations ⋮ Nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponents ⋮ Ground state solutions for general Choquard equations with a variable potential and a local nonlinearity ⋮ Ground state solution for a class of Schrödinger-Poisson-type systems with partial potential ⋮ Nontrivial solutions for the Choquard equation with indefinite linear part and upper critical exponent ⋮ Existence of a ground state solution for Choquard equations involving critical Sobolev exponents ⋮ The existence of positive solutions to the Choquard equation with critical exponent and logarithmic term

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