Ground state solutions for a class of quasilinear Choquard equation with critical growth

The Journal of Nonlinear Sciences and its Applications

article

Liuyang Shao¹  Haibo Chen²  Yingmin Wang¹ 

[1] School of Mathematics, Statistics, GuiZhou University of Finance;School of Mathematics, Statistics, Central South University

关键词: Quasilinear equation;    variational methods;    ground state solution;    Choquard type;   

DOI  :  10.22436/jnsa.014.06.02

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, we consider the following quasilinear Choquard equation with critical nonlinearity \[\begin{cases}-\triangle u+V(x)u-u\triangle^{2}=(I_{\alpha}\ast|u|^{p})|u|^{p-2}u+u^{2(2^{\ast})-2}u,&x\in\mathbb{R}^{N},\\u>0,&x\in\mathbb{R}^{N},\end{cases}\] where \(I_{\alpha}\) is a Riesz potential, \(0<\alpha

【 授权许可】

Unknown