Positive solutions for double singularly perturbed Schroedinger Maxwell systems
arXiv:1710.03552
Abstract
We show that the number of solutions of a double singularly perturbed Schroedinger Maxwell system on a smooth bounded domain A depends on the topological properties of the domain. In particular if A is non contractible we obtain cat(A) + 1 positive solutions. The result is obtained via Lusternik Schnirelmann category theory
arXiv admin note: text overlap with arXiv:1501.04547