A global compactness result for a critical nonlinear Choquard equation in RN $\mathbb{R} ^{N}$

A global compactness result for a critical nonlinear Choquard equation in RN $\mathbb{R} ^{N}$

Abstract This article is concerned with the following class of nonlinear Choquard equations: {−Δu+a(x)u=(|x|−μ∗|u|2μ∗)|u|2μ∗−2u+q(x)|u|p−1u,x∈RN,u∈H1(RN), $$\begin{aligned} \textstyle\begin{cases} -\Delta u+a(x)u= ( \vert x \vert ^{-\mu }* \vert u \vert ^{2^{*}_{\mu }} ) \vert u \vert ^{2^{*} _{\mu...

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Bibliographic Details
Main Authors: Wangcheng Huang, Wei Long, Aliang Xia, Xiongjun Zheng
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Boundary Value Problems
Subjects:
Global compactness
(PS) condition
Choquard equation
Existence results
Online Access:http://link.springer.com/article/10.1186/s13661-019-1223-z

Internet

http://link.springer.com/article/10.1186/s13661-019-1223-z

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