Multiplicity and existence of solutions for generalized quasilinear Schrodinger equations with sign-changing potentials

被引：1

作者：

Huang, Chen ^{[1
,2
]}

机构：

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

[2] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasilinear Schrodinger equations; Sign-changing potentials; Symmetric Mountain Pass Theorem; Morse theory; SOLITON-SOLUTIONS;

D O I：

10.1186/s13661-020-01369-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of generalized quasilinear Schrodinger equations - div(l2(u).u) + l(u)l (u)|. u|2 + V(x)u = f (u), x. RN, where l(t) : R. R+ is a nondecreasing function with respect to |t|, the potential function V is allowed to be sign- changing so that the Schrodinger operator - + V possesses a finite-dimensional negative space. We obtain existence and multiplicity results for the problem via the Symmetric Mountain Pass Theorem and Morse theory.

引用

页数：17

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