Multiple solutions to a quasilinear Schrodinger equation with Robin boundary condition

被引：1
|
作者：
Deng, Yin [1 ]
Jia, Gao [2 ]
Li, Fanglan [3 ]
机构：
[1] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[3] Shanghai Univ Med & Hlth Sci, Shanghai 201318, Peoples R China
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
quasilinear Schrodinger equation; Robin boundary; multiple solutions; Fountain Theorem; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; INDEFINITE;
D O I：
10.3934/math.2020248
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a quasilinear Schrodinger equation with Robin boundary condition. Using the variational methods and the truncation techniques, we prove the existence of two positive solutions when the parameter lambda is large enough. We also establish the existence of infinitely many high energy solutions by using Fountain Theorem when lambda > 1.
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页码：3825 / 3839
页数：15
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