Ground states for Choquard equations with doubly critical exponents

DOI10.1216/RMJ-2019-49-1-153zbMath1412.35122WikidataQ128296301 ScholiaQ128296301MaRDI QIDQ669246

Shiwang Ma, Xinfu Li

Publication date: 15 March 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1552186956

zbMATH Keywords

positive solutionground state solutioncritical Choquard equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

Related Items (12)

Infinitely many sign-changing solutions for Choquard equation with doubly critical exponents ⋮ Positive ground states for nonlinearly coupled Choquard type equations with lower critical exponents ⋮ Limit profiles for singularly perturbed Choquard equations with local repulsion ⋮ Existence and concentration of solutions for Choquard equations with steep potential Well and doubly critical exponents ⋮ Existence of ground‐state solutions for p‐Choquard equations with singular potential and doubly critical exponents ⋮ Semi-classical states for the Choquard equations with doubly critical exponents: Existence, multiplicity and concentration ⋮ The Brezis-Nirenberg type double critical problem for the Choquard equation ⋮ Ground state solutions for a class of Choquard equations involving doubly critical exponents ⋮ Vector solutions for linearly coupled Choquard type equations with lower critical exponents ⋮ The Brezis-Nirenberg type double critical problem for a class of Schrödinger-Poisson equations ⋮ Ground state solutions for Choquard equations with Hardy-Littlewood-Sobolev upper critical growth and potential vanishing at infinity ⋮ Existence of normalized ground states for the Sobolev critical Schrödinger equation with combined nonlinearities

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