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
收藏
页码：1347 / 1366
页数：20
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