Multiplicity of solutions for the noncooperative Schrodinger-Kirchhoff system involving the fractional p-Laplacian in RN

被引：0

作者：

Liang, Sihua ^{[1
]}

Zhang, Jihui ^{[2
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Jilin, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2017年 / 68卷 / 03期

关键词：

Schrodinger-Kirchhoff system; Fractional p-Laplacian; Limit index; Critical Sobolev exponent; POSITIVE SOLUTIONS; ELLIPTIC SYSTEM; EXISTENCE; FUNCTIONALS; EQUATIONS;

D O I：

10.1007/s00033-017-0805-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of solutions for the noncooperative Schrodinger-Kirchhoff-type system involving the fractional p-Laplacian and critical nonlinearities in RN. By applying the Limit Index Theory due to Li (Nonlinear Anal 25: 1371-1389, 1995) and the fractional version of concentration-compactness principle, we obtain the existence and multiplicity of solutions for the above systems under some suitable assumptions. To our best knowledge, it seems that this is the first time to exploit the existence of solutions for the noncooperative Schrodinger-Kirchhoff-type system involving the fractional p-Laplacian and critical nonlinearity in RN.

引用

页数：18

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