Asymptotic behavior of multiple solutions for quasilinear Schrodinger equations

被引：1

作者：

Zhang, Xian ^{[1
]}

Huang, Chen ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Business Sch, Shanghai 200433, Peoples R China

[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200433, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2022年 / 64期

关键词：

quasilinear Schr?dinger equations; variational methods; L??-estimate; asymptotic behavior; CONCENTRATION-COMPACTNESS PRINCIPLE; SIGN-CHANGING SOLUTIONS; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; NODAL SOLUTIONS; GROUND-STATES; EXISTENCE; CALCULUS;

D O I：

10.14232/ejqtde.2022.1.64

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the multiplicity of solutions for a class of quasilinear Schrodinger elliptic equations: - increment u + V(x)u - 72 increment (u2)u = f(x, u), x E R3, where V(x) : R3 R is a given potential and 7 > 0. Furthermore, by the variational argument and L degrees degrees-estimates, we are able to obtain the precise asymptotic behavior of these solutions as 7 0+.

引用

页码：1 / 28

页数：28

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