A variational formulation for the two-sided obstacle problem with measure data

Haïm Brezis; Sylvia Serfaty

doi:10.1142/S0219199702000671

A variational formulation for the two-sided obstacle problem with measure data

Haïm Brezis, Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a new variational formulation for the two-sided obstacle problem with measure data. This formulation allows to prove in particular that the solution does not depend on the part of the data which is concentrated on a set of zero newtonian capacity.

Original language	English (US)
Pages (from-to)	357-374
Number of pages	18
Journal	Communications in Contemporary Mathematics
Volume	4
Issue number	2
DOIs	https://doi.org/10.1142/S0219199702000671
State	Published - 2002

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199702000671

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abstract = "We give a new variational formulation for the two-sided obstacle problem with measure data. This formulation allows to prove in particular that the solution does not depend on the part of the data which is concentrated on a set of zero newtonian capacity.",

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A variational formulation for the two-sided obstacle problem with measure data

Abstract

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