10-23 Alberto Farina, Enrico Valdinoci

Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications (236K, pdf) Jan 28, 10

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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 the possibly nonuniformly elliptic fully nonlinear operators with possible gradient dependence.

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