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Your search keyword '"Ros-Oton, Xavier"' showing total 2 results
Start Over Author "Ros-Oton, Xavier" Topic identities (mathematics)
2 results on '"Ros-Oton, Xavier"'

1. Pohozaev identities for anisotropic integrodifferential operators.

Author

Ros-Oton, Xavier, Serra, Joaquim, and Valdinoci, Enrico

Subjects
*INTEGRO-differential equations, *ANISOTROPY, *IDENTITIES (Mathematics), *MATHEMATICAL formulas, *MATHEMATICAL proofs, *OPERATOR theory
Abstract

We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, withs∈(0,1). These identities involve local boundary terms, in which the quantityplays the role that∂u∕∂νplays in the second-order case. Here,uis any solution toLu = f(x,u) in Ω, withu = 0 in ℝn∖Ω, anddis the distance to∂Ω. [ABSTRACT FROM AUTHOR]

Published
2017
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2. 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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