A nonlocal concave-convex problem with nonlocal mixed boundary data
Analysis of PDEs
2016-12-22 v2
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.
Cite
@article{arxiv.1611.09902,
title = {A nonlocal concave-convex problem with nonlocal mixed boundary data},
author = {Boumediene Abdellaoui and Abdelrazek Dieb and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1611.09902},
year = {2016}
}