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. ValdinociUltimo
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.File in questo prodotto:
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