We show that the number of positive solutions of Schrödinger– Maxwell system on a smooth bounded domain Ω⊂R3 depends on the topological properties of the domain. In particular we consider the Lusternik– Schnirelmann category and the Poincar´e polynomial of the domain.
CITATION STYLE
Ghimenti, M., & Micheletti, A. M. (2014). Low energy solutions for the semiclassical limit of Schrödinger–Maxwell systems. In Progress in Nonlinear Differential Equations and Their Application (Vol. 85, pp. 287–300). Springer US. https://doi.org/10.1007/978-3-319-04214-5_17
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