A concave-convex elliptic problem involving the fractional Laplacian
Br\"andle, Cristina, Eduardo Colorado, Arturo de Pablo · arXiv (Cornell University) · 2010
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.