A concave-convex elliptic problem involving the fractional Laplacian
classification
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keywords
problemconcave-convexellipticfractionalinvolvinglaplacianboundedcharacterize
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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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