Pohozaev identities for anisotropic integrodifferential operators

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Title:	Pohozaev identities for anisotropic integrodifferential operators
Author:	Ros Oton, Xavier; Serra Montolí, Joaquim; Valdinoci, Enrico
Other authors:	Universitat Politècnica de Catalunya. EDP - Equacions en Derivades Parcials i Aplicacions
Abstract:	We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s¿(0,1). These identities involve local boundary terms, in which the quantity (Formula presented.) plays the role that ¿u/¿¿ plays in the second-order case. Here, u is any solution to Lu = f(x,u) in O, with u = 0 in RnO, and d is the distance to ¿O.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals -Pohozaev's identity -Nonlocal operator -Pohozaev identity -stable Lévy processes
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Document type:	Article - Submitted version Article
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