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28 March 2024
 
  » arxiv » math.FA/0006012

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Some properties of the solutions of obstacle problems with measure data
P. Dall’Aglio ; G. Dal Maso ;
Date 2 Jun 2000
Journal Ricerche Mat. 48 (1999) Suppl. 99-116
Subject Functional Analysis | math.FA
AbstractWe study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very weak assumptions on the obstacles, the solutions do not depend on the components of the negative parts of the data which are concentrated on sets of capacity zero. The proof is based on a careful analysis of the behaviour of the potentials of two mutually singular measures near the points where both potentials tend to infinity.
Source arXiv, math.FA/0006012
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