Fractional Laplacian: Pohozaev identity and nonexistence results
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hdl:2117/19816
Document typeArticle
Defense date2012-05
PublisherElsevier
Rights accessRestricted access - publisher's policy
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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.
ISSN1631-073X
Publisher versionhttp://www.sciencedirect.com/science/article/pii/S1631073X12001471#
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