Fractional Laplacian: Pohozaev identity and nonexistence results

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Title:	Fractional Laplacian: Pohozaev identity and nonexistence results
Author:	Ros Oton, Xavier; Serra Montolí, Joaquim
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Pohozaev identity
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Document type:	Article - Published version Article
Published by:	Elsevier
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