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
收藏
页码：317 / 339
页数：23
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