A nonlocal concave-convex problem with nonlocal mixed boundary data

2016/11/29 by Abdellaoui, Boumediene, Dieb, Abdelrazek, Valdinoci, Enrico · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.09902

Abstract

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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• Critical concave-convex problems in Carnot groups

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