Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222566 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 19 Pages |
Abstract
We show that the number of solutions of a double singularly perturbed Schrödinger Maxwell system on a smooth bounded domain ΩâR3 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.
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Authors
Marco Ghimenti, Anna Maria Micheletti,