A multiplicity result for double singularly perturbed elliptic systems
classification
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keywords
doublemanifoldperturbedresultsingularlycategorydependsdimensional
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We show that the number of low energy solutions of a double singularly perturbed Schroedinger Maxwell system type on a smooth 3 dimensional manifold (M,g) depends on the topological properties of the manifold. The result is obtained via Lusternik Schnirelmann category theory.
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