Rigidity Results for Elliptic PDEs with Uniform Limits: an Abstract Framework with Applications

被引：19

作者：

Farina, Alberto ^{[1
]}

Valdinoci, Enrico ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, LAMFA CNRS UMR 6140, Fac Sci, Amiens, France

[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2011年 / 60卷 / 01期

关键词：

elliptic PDEs; fractional or nonlinear operators; symmetry results; ONE-DIMENSIONAL SYMMETRY; DIRICHLET-NEUMANN OPERATORS; GRAVITY-WAVES; WATER-WAVES; EQUATIONS; ANALYTICITY; MODEL;

D O I：

10.1512/iumj.2011.60.4433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：121 / 141

页数：21

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