Multiple positive solutions for a quasilinear system of Schrodinger equations

被引：18

作者：

Figueiredo, Giovany A. ^{[1
]}

Furtado, Marcelo F. ^{[2
]}

机构：

[1] Fed Univ Para, Dept Matemat, BR-66075100 Belem, Para, Brazil

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

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2008年 / 15卷 / 03期

关键词：

Quasilinear Schrodinger equation; Ljusternik-Schnirelmann theory; positive solutions; critical problems;

D O I：

10.1007/s00030-008-7051-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the quasilinear system [GRAPHICS] where epsilon > 0, 2 <= p < N, V amd W are positive ocntinuous potentials, Q is an homogenous function with subcritical growth, H(u, v) = vertical bar u vertical bar(alpha) vertical bar v vertical bar(beta) with alpha, beta >= 1 satisfying alpha + beta = Np/(N - p). We relate the number of solutions with the topology of the set where V and W attain it minimum values. We consider the subcritical case gamma = 0 and the critical case gamma = 1. In the proofs we apply Ljusternik-Schnirelmann theory.l

引用

页码：309 / 333

页数：25

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