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Fractional Laplacian: Pohozaev identity and nonexistence results

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10.1016/j.crma.2012.05.011
 
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hdl:2117/19816

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Ros Oton, XavierMés informació
Serra Montolí, Joaquim
Document typeArticle
Defense date2012-05
PublisherElsevier
Rights accessRestricted access - publisher's policy
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
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.
CitationRos, X.; Serra, J. Fractional Laplacian: Pohozaev identity and nonexistence results. "Comptes rendus de l'Académie des sciences. Série 1, Mathématique", Maig 2012, vol. 350, núm. 9-10, p. 505-508. 
URIhttp://hdl.handle.net/2117/19816
DOI10.1016/j.crma.2012.05.011
ISSN1631-073X
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S1631073X12001471#
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