Thursday, March 28, 2013

1303.6627 (Marco Ghimenti et al.)

Low energy solutions for the semiclassical limit of Schroedinger Maxwell

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.
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