MULTIPLE POSITIVE SOLUTIONS FOR SCHRODINGER-POISSON SYSTEMS INVOLVING CONCAVE-CONVEX NONLINEARITIES

被引：0

作者：

Fan, Haining ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Sci, Xuzhou 221116, Jiangsu, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年

关键词：

Multiple positive solutions; Schrodinger-Poisson system; critical Sobolev exponent; Nehari manifold; Ljusternik-Schnirelmann category; ELLIPTIC SYSTEM; THOMAS-FERMI; GROUND-STATE; EQUATIONS; ATOMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence of multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities and sign-changing weight potentials. With the help of Nehari manifold and Ljusternik-Schnirelmann category theory, we investigate how the coefficient g(x) of the critical nonlinearity affects the number of positive solutions. Furthermore, we obtain a relationship between the number of positive solutions and the topology of the global maximum set of g.

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页数：19

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