4.2 Article

Fractional Laplacian: Pohozaev identity and nonexistence results

Journal

COMPTES RENDUS MATHEMATIQUE
Volume 350, Issue 9-10, Pages 505-508

Publisher

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crma.2012.05.011

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Funding

  1. [MTM2011-27739-C04-01]
  2. [2009SGR345]

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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. (C) 2012 Published by Elsevier Masson SAS on behalf of Academie des sciences.

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