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.

An elementary proof of a characterization of constant functions

DE MARCO, GIUSEPPE;MARICONDA, CARLO;
2008

Abstract

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.
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2486775
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