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A VARIATIONAL FORMULATION FOR THE TWO-SIDED OBSTACLE PROBLEM WITH MEASURE DATA
Journal article   Peer reviewed

A VARIATIONAL FORMULATION FOR THE TWO-SIDED OBSTACLE PROBLEM WITH MEASURE DATA

HAÏM Brezis and SYLVIA Serfaty
Communications in contemporary mathematics, Vol.4(2), pp.357-374
05/2002

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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