Gradient bounds for anisotropic partial differential equations

被引：18

作者：

Farina, Alberto ^{[1
]}

Valdinoci, Enrico ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, Fac Sci, LAMFA, CNRS UMR 6140, F-80039 Amiens 1, France

[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 49卷 / 3-4期

关键词：

UNBOUNDED-DOMAINS; REGULARITY;

D O I：

10.1007/s00526-013-0605-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider solutions in the whole of the space of a partial differential equation driven by the anisotropic Laplacian. We prove a pointwise energy bound and we derive from that some rigidity results.

引用

页码：923 / 936

页数：14

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