A concave-convex elliptic problem involving the fractional Laplacian
Analysis of PDEs
2010-10-22 v2
Abstract
We study a nonlinear elliptic problem defined in a bounded domain involving fractional powers of the Laplacian operator together with a concave-convex term. We characterize completely the range of parameters for which solutions of the problem exist and prove a multiplicity result.
Keywords
Cite
@article{arxiv.1006.4510,
title = {A concave-convex elliptic problem involving the fractional Laplacian},
author = {Cristina Brändle and Eduardo Colorado and Arturo de Pablo},
journal= {arXiv preprint arXiv:1006.4510},
year = {2010}
}