Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems
Marco Ghimenti, Anna Maria Micheletti · arXiv (Cornell University) · 2013
We show that the number of solutions of Schroedinger Maxwell system on a smooth bounded domain in R^3 depends on the topological properties of the domain. In particular we consider the Lusternik-Schnirelmann category and the Poincaré polynomial of the domain.