Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem

DOI10.1016/j.jde.2022.10.041zbMath1505.35217OpenAlexW4309078925MaRDI QIDQ2101090

Weiwei Ye, Shunneng Zhao, Min-Bo Yang

Publication date: 28 November 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.041

zbMATH Keywords

Hardy-Littlewood-Sobolev inequalityRobin functionreduction argumentsconcentratingcritical Hartree equation

Mathematics Subject Classification ID

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

Semiclassical solutions for a critical Choquard-Poisson system with competitive potentials ⋮ Local uniqueness of blow-up solutions for critical Hartree equations in bounded domain ⋮ Blow-up behavior of solutions to critical Hartree equations on bounded domain ⋮ Existence of solutions for a nonlocal elliptic system with critical and subcritical exponential growth

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