Fractional Laplacian: Pohozaev identity and nonexistence results

Published 2 May 2012 in math.AP | (1205.0494v1)

Abstract: In this note we present the Pohozaev identity for the fractional Laplacian. As a consequence of this identity, we prove the nonexistence of nontrivial bounded solutions to semilinear problems with supercritical nonlinearities in star-shaped domains.

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