A multiplicity result for double singularly perturbed elliptic systems

被引：2

作者：

Ghimenti, Marco ^{[1
]}

Micheletti, Anna Maria ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56100 Pisa, Italy

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2015年 / 17卷 / 01期

关键词：

Schrodinger-Maxwell systems; Schrodinger-Poisson-Slater equation; Riemannian manifold; singular perturbation; SCHRODINGER-MAXWELL EQUATIONS; KLEIN-GORDON-MAXWELL; NUMBER;

D O I：

10.1007/s11784-015-0238-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the number of low-energy solutions of a double singularly perturbed Schrodinger-Maxwell-type system on a smooth three-dimensional manifold (M, g) depends on the topological properties of the manifold. The result is obtained via the Lusternik-Schnirelmann category theory.

引用

页码：123 / 136

页数：14

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