Positive solutions for a class of elliptic systems with singular potentials

被引：4

作者：

Carriao, P. C. ^{[1
]}

Lisboa, N. H. ^{[2
]}

Miyagaki, O. H. ^{[3
]}

机构：

[1] Univ Fed Minas Gerais, Dept Matemat, BR-31270010 Belo Horizonte, MG, Brazil

[2] Univ Estadual Montes Claros, Dept Ciencias Exatas, BR-39401089 Montes Claros, MG, Brazil

[3] Univ Fed Juiz de Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 02期

关键词：

Schrodinger operator; Variational method; Singular potentials; Decaying and unbounded potentials; NONLINEAR SCHRODINGER-EQUATIONS; STANDING WAVES; CRITICAL FREQUENCY; PULSE-PROPAGATION; EXISTENCE; STATES; SPHERES;

D O I：

10.1007/s00033-014-0402-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the existence of positive solutions for the following class of elliptic system where is a small positive parameter, V (1), V (2), K are nonnegative potentials, Q is a (p + 1)-homogeneous function and p is subcritical; that is, 1 < p < 2* - 1, where 2* = 2N/(N - 2) is the critical Sobolev exponent for N >= 3.

引用

页码：317 / 339

页数：23

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