Existence of Solutions for a Quasilinear Schrodinger Equation with Potential Vanishing

被引：0

作者：

Xue, Yan-fang ^{[1
]}

Han, Jian-xin ^{[1
]}

Zhu, Xin-cai ^{[1
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2023年 / 39卷 / 03期

基金：

中国国家自然科学基金;

关键词：

quasilinear Schrodinger equation; vanishing potential; asymptotically cubic; mountain pass theorem; SOLITON-SOLUTIONS;

D O I：

10.1007/s10255-023-1083-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following quasilinear Schrodinger equation -Delta u + V(x)u-Delta(u(2))u = K(x)g(u); x epsilon R-3; where the nonlinearity g (u) is asymptotically cubic at infinity, the potential V (x) may vanish at infinity. Under appropriate assumptions on K(x), we establish the existence of a nontrivial solution by using the mountain pass theorem.

引用

页码：696 / 706

页数：11

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