2023/09/18 by Sun‐Sig Byun, Byun, Sun-Sig, Kyeong Song +3
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2309.09835
We investigate elliptic irregular obstacle problems with p-growth involving measure data. Emphasis is on the strongly singular case 1 < p ≤ 2-1/n, and we obtain several new comparison estimates to prove gradient potential estimates in an intrinsic form. Our approach can be also applied to derive zero-order potential estimates.