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.

Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications / A. Farina, E. Valdinoci. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 60:1(2011), pp. 121-141.

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

E. Valdinoci
Ultimo
2011

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.
elliptic PDEs; fractional or nonlinear operators; symmetry results
Settore MAT/05 - Analisi Matematica
2011
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/224008
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