QUASILINEAR SCHRODINGER EQUATIONS INVOLVING CONCAVE AND CONVEX NONLINEARITIES

被引：110

作者：

do O, Joao Marcos ^{[1
]}

Severo, Uberlandio ^{[1
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2009年 / 8卷 / 02期

关键词：

Schrodinger equations; standing wave solutions; variational methods; nonlinearity with concave and convex terms; Orlicz spaces; SOLITON-SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.3934/cpaa.2009.8.621

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the mountain-pass theorem and the Ekeland variational principle in a suitable Orlicz space are employed to establish the existence of positive standing wave solutions for a quasilinear Schrodinger equation involving a combination of concave and convex terms. The second order nonlinearity considered in this paper corresponds to the superfluid equation in plasma physics.

引用

页码：621 / 644

页数：24

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