Antisymmetric solutions for a class of quasilinear defocusing Schrodinger equations

被引：0

作者：

Gamboa, Janete Soares ^{[1
]}

Zhou, Jiazheng ^{[1
]}

机构：

[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF, Brazil

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2020年 / 16期

关键词：

quasilinear Schrodinger equation; antisymmetric solutions; Nehari manifold; SIGN-CHANGING SOLUTIONS; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; NODAL SOLUTIONS; EXISTENCE;

D O I：

10.14232/ejqtde.2020.1.16

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the existence of antisymmetric solutions for the quasilinear defocusing Schrodinger equation in H-1(RN): -Delta u + k/2u Delta u(2) + V(x)u = g(u), where N >= 3, V(x) is a positive continuous potential, g(u) is of subcritical growth and k is a non-negative parameter. By considering a minimizing problem restricted on a partial Nehari manifold, we prove the existence of antisymmetric solutions via a deformation lemma.

引用

页码：1 / 18

页数：18

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