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arxiv: 1611.09902 · v2 · pith:B67BR2BInew · submitted 2016-11-29 · 🧮 math.AP

A nonlocal concave-convex problem with nonlocal mixed boundary data

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keywords nonlocalconcave-convexdatadirichlet-neumannmixedproblemboundarycondition
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The aim of this paper is to study a nonlocal problem with a mixed Dirichlet-Neumann exterior condition. We prove existence, nonexistence and multiplicity of positive energy solutions and describe the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data.

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