Infinitely many solutions for a class of quasilinear Schrodinger equations involving sign-changing weight functions

被引：2

作者：

Jalilian, Y. ^{[1
]}

机构：

[1] Razi Univ, Dept Math, Kermanshah, Iran

来源：

APPLICABLE ANALYSIS | 2019年 / 98卷 / 07期

关键词：

Quasilinear Schrodinger equation; infinitely many solutions; sign-changing weight function; SOLITON-SOLUTIONS; MULTIPLE SOLUTIONS; WAVE SOLUTIONS; EXISTENCE;

D O I：

10.1080/00036811.2017.1422726

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a change of variables and the constrained critical point theory, we first prove the existence and multiplicity of solutions for a class of quasilinear Schrodinger equations. Next, we consider a quasilinear equation related to the superfluid film in plasma physics with a sign-changing weight function. Using a new natural constraint, we establish the existence of infinitely many solutions for the equation.

引用

页码：1347 / 1366

页数：20

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