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

Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications
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DOI:
10.1512/iumj.2011.60.4433
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发表时间:
2011
影响因子:
1.1
通讯作者:
A. Farina;E. Valdinoci
A. Farina;E. Valdinoci
中科院分区:
数学3区
文献类型:
--
作者:
A. Farina;E. Valdinoci

文献摘要

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我们为G.W.Gibbons猜想中的一个对称性结果提供了一个抽象的框架,并将其应用于分数次Laplace算子、常系数椭圆算子、拟线性算子和可能具有梯度依赖的椭圆完全非线性算子。
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.