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Low Energy Solutions for the Semiclassical Limit of Schrödinger–Maxwell Systems
We show that the number of positive solutions of Schrödinger– Maxwell system on a smooth bounded domain $$ \Omega \subset \mathbb{R}^{3} $$ depends on the topological properties of the domain. In particular we consider the Lusternik– Schnirelmann category and the Poincar´e polynomial of the domain.