Rigidity results for elliptic PDEs with uniform limits: An abstract framework with applications

Alberto Farina; Enrico Valdinoci

doi:10.1512/iumj.2011.60.4433

Rigidity results for elliptic PDEs with uniform limits: An abstract framework with applications

Alberto Farina, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We provide an abstract framework for a symmetry result arising in a conjecture of G.W. Gibbons and we apply it to the fractional Laplace operator, to the elliptic operators with constant coefficients, to the quasilinear operators, and to elliptic fully nonlinear operators with possible gradient dependence.

Original language	English
Pages (from-to)	121-141
Number of pages	21
Journal	Indiana University Mathematics Journal
Volume	60
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2011.60.4433
Publication status	Published - 1 Dec 2011
Externally published	Yes

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10.1512/iumj.2011.60.4433

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title = "Rigidity results for elliptic PDEs with uniform limits: An abstract framework with applications",

abstract = "We provide an abstract framework for a symmetry result arising in a conjecture of G.W. Gibbons and we apply it to the fractional Laplace operator, to the elliptic operators with constant coefficients, to the quasilinear operators, and to elliptic fully nonlinear operators with possible gradient dependence.",

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author = "Alberto Farina and Enrico Valdinoci",

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AU - Valdinoci, Enrico

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KW - Elliptic PDEs

KW - Fractional or nonlinear operators

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Rigidity results for elliptic PDEs with uniform limits: An abstract framework with applications

Abstract

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