Differential and Integral Equations
- Differential Integral Equations
- Volume 14, Number 9 (2001), 1051-1076.
Unilateral problems with measure data: links and convergence
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 .
Differential Integral Equations, Volume 14, Number 9 (2001), 1051-1076.
First available in Project Euclid: 21 December 2012
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Secondary: 35J65: Nonlinear boundary value problems for linear elliptic equations
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