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Normalized solutions for an horizontal transmission problem

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ABSTRACT Let Ω be a bounded and smooth domain in . We study in this paper the following nonlinear transmission problem where the unknowns are and the real numbers .… Click to show full abstract

ABSTRACT Let Ω be a bounded and smooth domain in . We study in this paper the following nonlinear transmission problem where the unknowns are and the real numbers . Actually we are looking for solutions u, v with prescribed -norm. The problem has a variational formulation and indeed, under minimal assumptions, we are able to find infinitely many solutions by using the Krasnoselkii genus, whatever the norm of u and v a priori is.

Keywords: horizontal transmission; normalized solutions; transmission problem; problem; solutions horizontal

Journal Title: Applicable Analysis
Year Published: 2020

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