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.
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页码：597 / 602
页数：6
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