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Start Over Author "Ros-Oton, Xavier" Topic identities (mathematics) Journal comptes rendus. mathematique
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1. Fractional Laplacian: Pohozaev identity and nonexistence results

Author

Ros-Oton, Xavier and Serra, Joaquim

Subjects
*FRACTIONAL calculus, *HARMONIC functions, *EXISTENCE theorems, *IDENTITIES (Mathematics), *NONLINEAR theories, *MATHEMATICAL analysis
Abstract

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. [Copyright &y& Elsevier]

Published
2012
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