(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2016) Abdellaoui, Boumediene; Dieb, Abdelrazek; Valdinoci, Enrico
The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data.