Positive solutions for double singularly perturbed Schroedinger Maxwell systems
classification
🧮 math.AP
keywords
solutionsdomaindoublemaxwellperturbedpositiveschroedingersingularly
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We show that the number of solutions of a double singularly perturbed Schroedinger Maxwell system on a smooth bounded domain A depends on the topological properties of the domain. In particular if A is non contractible we obtain cat(A) + 1 positive solutions. The result is obtained via Lusternik Schnirelmann category theory
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