1303.6627 (Marco Ghimenti et al.)

Low energy solutions for the semiclassical limit of Schroedinger Maxwell
systems    [PDF]

Marco Ghimenti, Anna Maria Micheletti

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 Poincar\'e polynomial of the domain.

View original: http://arxiv.org/abs/1303.6627