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.
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页码：323 / 338
页数：16
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