Differential and Integral Equations

Unilateral problems with measure data: links and convergence

Pirro Oppezzi and Maria Rossi

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Abstract

We deal with an obstacle problem with measure data. We improve our previous result of existence in a form which permits us to obtain a convergence result with respect to Mosco convergence of obstacles and uniqueness of the solution in the case where the measure data vanishes on sets of zero capacity. We also give a property, which is analogous, for renormalized solutions, to a recent characterization obtained in [10].

Article information

Source
Differential Integral Equations, Volume 14, Number 9 (2001), 1051-1076.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356124307

Mathematical Reviews number (MathSciNet)
MR1852871

Zentralblatt MATH identifier
1034.35057

Subjects
Primary: 35J85
Secondary: 35J65: Nonlinear boundary value problems for linear elliptic equations

Citation

Oppezzi, Pirro; Rossi, Maria. Unilateral problems with measure data: links and convergence. Differential Integral Equations 14 (2001), no. 9, 1051--1076. https://projecteuclid.org/euclid.die/1356124307


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