Multiple sign-changing solutions for nonlinear Schrodinger equations with potential well

被引：7

作者：

Jin, Qingfei ^{[1
,2
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan, Peoples R China

[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 15期

关键词：

Sign-changing solutions; potential well; asymptotic behavior; SCALAR FIELD-EQUATIONS; NODAL SOLUTIONS; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; EXISTENCE; WAVES;

D O I：

10.1080/00036811.2019.1572883

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of sign-changing solutions for the following nonlinear Schrodinger equation -Delta u + V-lambda(x)u = f(x,u), x is an element of R-N, where the potential V-lambda(x) has a potential well with bottom independent of the parameter lambda > 0. We show that as lambda -> +infinity more and more sign-changing solutions of the nonlinear Schrodinger equation exist. The solutions lie in H-1(R-N) and are localized near the bottom of the potential well, but not near local minima of the potential.

引用

页码：2555 / 2570

页数：16

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