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.
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页码：1 / 18
页数：18
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