A concave-convex elliptic problem involving the fractional Laplacian

Details A concave-convex elliptic problem involving the fractional Laplacian A concave-convex elliptic problem involving the fractional Laplacian

2010-06-23

arxiv.org/abs/1006.4510v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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