Existence of a bound state solution for quasilinear Schrodinger equations

被引：22

作者：

Xue, Yan-Fang ^{[1
,2
]}

Tang, Chun-Lei ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Xin Yang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2019年 / 8卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasilinear Schrodinger equation; asymptotically linear; barycenter; linking; Pohozaev manifold; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; UNIQUENESS;

D O I：

10.1515/anona-2016-0244

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the existence of bound state solutions for a class of quasilinear Schrodinger equations whose nonlinear term is asymptotically linear in R-N. After changing the variables, the quasilinear equation becomes a semilinear equation, whose respective associated functional is well defined in H-1(R-N). The proofs are based on the Pohozaev manifold and a linking theorem.

引用

页码：323 / 338

页数：16

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