Pohozaev identities for anisotropic integrodifferential operators

Ros Oton, Xavier; Serra Montolí, Joaquim; Valdinoci, Enrico

doi:10.1080/03605302.2017.1349148

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Ros Oton, Xavier

Serra Montolí, Joaquim

Valdinoci, Enrico

Document typeArticle

Defense date2017-08-15

Rights accessOpen Access

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

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.

CitationRos, X., Serra, J., Valdinoci, E. Pohozaev identities for anisotropic integrodifferential operators. "Communications in partial differential equations", 15 Agost 2017, p. 1290-1321.

URIhttp://hdl.handle.net/2117/108448

DOI10.1080/03605302.2017.1349148

ISSN0360-5302

Publisher versionhttp://www.tandfonline.com/doi/full/10.1080/03605302.2017.1349148

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EDP - Equacions en Derivades Parcials i Aplicacions - Articles de revista [0]

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