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- Title
- Gradient estimates for irregular obstacle problems with measure data
- KIAS Author
- Song, Kyeong
- Journal
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025
- Archive
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- Abstract
- We consider a class of degenerate/singular elliptic obstacle problems with measure data. The associated differential operator is of p-Laplacian type, p>1, whose coefficient is merely measurable in one variable and has a small BMO seminorm in the other variables. We prove optimal Calderon-Zygmund type estimates for such a problem, without assuming higher differentiability of the obstacle function. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.