Low energy solutions for the semiclassical limit of Schroedinger Maxwell systems
classification
🧮 math-ph
math.MP
keywords
domainmaxwellschroedingersolutionsboundedcategoryconsiderdepends
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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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