Article ID Journal Published Year Pages File Type
7222566 Nonlinear Analysis: Theory, Methods & Applications 2018 19 Pages PDF
Abstract
We show that the number of solutions of a double singularly perturbed Schrödinger Maxwell system on a smooth bounded domain Ω⊂R3 depends on the topological properties of the domain. In particular if Ω is non contractible we obtain cat(Ω)+1 positive solutions. The result is obtained via Lusternik-Schnirelmann category theory.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
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