Fractional differentiability for elliptic double obstacle problems with measure data
Sun-Sig Byun
Seoul National University, Republic of KoreaKyeong Song
Korea Institute for Advanced Study, Seoul, Republic of KoreaYeonghun Youn
Yeungnam University, Gyeongsan, Republic of Korea
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Abstract
We consider elliptic double obstacle problems involving -Laplacian type operators and measure data. We prove maximal fractional differentiability results in a completely linearized form under suitable differentiability assumptions on the obstacles. We also investigate fractional Sobolev–Morrey regularity for such problems under a density condition on the measures.
Cite this article
Sun-Sig Byun, Kyeong Song, Yeonghun Youn, Fractional differentiability for elliptic double obstacle problems with measure data. Z. Anal. Anwend. 42 (2023), no. 1/2, pp. 37–64
DOI 10.4171/ZAA/1721