Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems

2013/03/26 by Ghimenti, Marco, Micheletti, Anna Maria
#FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1303.6627

Abstract

We show that the number of solutions of Schroedinger Maxwell system on a smooth bounded domain in R³ depends on the topological properties of the domain. In particular we consider the Lusternik-Schnirelmann category and the Poincaré polynomial of the domain.

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