GROUND STATE SOLUTIONS FOR ASYMPTOTICALLY PERIODIC QUASILINEAR SCHRODINGER EQUATIONS WITH CRITICAL GROWTH

被引：8

作者：

Xue, Yanfang ^{[1
,2
]}

Tang, Chunlei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400700, Peoples R China

[2] Xin Yang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Asymptotically periodic; Sobolev critical exponent; ground state solution; Nehari manifold; CONCENTRATION-COMPACTNESS PRINCIPLE; CRITICAL SOBOLEV EXPONENTS; ELLIPTIC-EQUATIONS; SOLITON-SOLUTIONS; PERTURBATION METHOD; MULTIPLE SOLUTIONS; EXISTENCE; PART; UNIQUENESS; CALCULUS;

D O I：

10.3934/cpaa.2018054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the existence of ground state solutions for the following quasilinear Schrodinger equation: -Delta u + V(x)u -Delta(u(2))u=K(x)vertical bar u vertical bar(22*-2)u+g(x,u),x is an element of R-N (1) where N > 3, V, g are asymptotically periodic functions in x. By combining variational methods and the concentration-compactness principle, we obtain a ground state solution for equation (I) under a new reformative condition which unify the asymptotic processes of V, g at infinity.

引用

页码：1121 / 1145

页数：25

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