A concave-convex elliptic problem involving the fractional Laplacian

Cristina Brändle; Eduardo Colorado; Arturo de Pablo

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arXiv · 1006.4510

A concave-convex elliptic problem involving the fractional Laplacian

Cristina Brändle·Eduardo Colorado·Arturo de Pablo

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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.

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Cristina Brändle, Eduardo Colorado, Arturo de Pablo. 2010-06-23. A concave-convex elliptic problem involving the fractional Laplacian. https://arxiv.org/abs/1006.4510

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