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...
Main Authors: | Wangcheng Huang, Wei Long, Aliang Xia, Xiongjun Zheng |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-06-01
|
Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-019-1223-z |
Similar Items
-
Remarks on damped Schrödinger equation of Choquard type
by: Lassaad Chergui
Published: (2021-07-01) -
Ground state for Choquard equation with doubly critical growth nonlinearity
by: Fuyi Li, et al.
Published: (2019-05-01) -
Multiple nodal solutions of nonlinear Choquard equations
by: Zhihua Huang, et al.
Published: (2017-10-01) -
Multiple solutions for nonhomogeneous Choquard equations
by: Lixia Wang
Published: (2018-10-01) -
Ground state solutions for Choquard type equations with a singular potential
by: Tao Wang
Published: (2017-02-01)