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arXiv · 1710.03552

Positive solutions for double singularly perturbed Schroedinger Maxwell systems

Marco Ghimenti·Anna Maria Micheletti
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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

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Marco Ghimenti, Anna Maria Micheletti. 2017-10-10. Positive solutions for double singularly perturbed Schroedinger Maxwell systems. https://arxiv.org/abs/1710.03552

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