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Applicable Analysis
An International Journal
Volume 74, 2000 - Issue 1-2
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Original Articles

Ann.Inst.Fourier Grenoble

Local Behavior in a T-Set

Pages 127-164 | Received 01 Jul 1998, Published online: 02 May 2007
 

Abstract

In this paper, we first show the uniqueness of the solution u of >

(set of bounded Radon measures) such that the q-capacity of the support of is zero for some . The equation is taken in the usual sense of distribution but u is in an appropiate T-set. The proof relies on a general comparison principle (see Theorem 1).

In more general context, we give pointwise estimates of the solution u⩾0These estimates. inspired by work of Kilpelaïnen-Màly [KM]. lead to some new estimates of the behavior of ,near the support of ,

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