An elementary proof of a characterization of constant functions

被引：0

作者：

De Marco, Giuseppe ^{[1
]}

Mariconda, Carlo ^{[1
]}

Solimini, Sergio ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy

[2] Politecn Bari, Dipartimento Matemat, I-70125 Bari, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2008年 / 8卷 / 03期

关键词：

convolution; Mean Value;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give two short and elementary proofs of a characterization of constants function by Brezis. Whereas the original proof involves some refined arguments on Sobolev spaces and BV functions, ours are based either on convolutions or on a sort of nonsmooth Mean Value Theorem which is new to our knowledge.

引用

页码：597 / 602

页数：6

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