Stability results for solutions of obstacle problems with measure data

2000/06/02 by Paolo Dall'Aglio, Dall'Aglio, Paolo
Computer Science · Mathematics · #Advanced Topology and Set Theory #Complexity and Algorithms in Graphs #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #math.FA

paper · pdf · doi:10.48550/arxiv.math/0006011

25 pages

arxiv created 2000/06/02 · openalex publication_date 2000/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the continuous dependence with respect to obstacles for obstacle problems with measure data. This is deeply investigated introducing a suitable type of convergence, which gives stability under very general hypotheses. Moreover stability with respect to H¹ and uniform convergent obstacles is proved.

Related

• Obstacles problems with measure data
• Some properties of the solutions of obstacle problems with measure data
• Perturbed Obstacle Problems in Lipschitz Domains: Linear Stability and\n Non-degeneracy in Measure
• Coefficient Control of Variational Inequalities
• Quantitative homogenization for the obstacle problem and its free boundary