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arXiv:1205.0494 [math.AP]AbstractReferencesReviewsResources

Fractional Laplacian: Pohozaev identity and nonexistence results

Xavier Ros-Oton, Joaquim Serra

Published 2012-05-02Version 1

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.

Categories: math.AP
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