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• W2016075097 abstract "In this paper we analyze the free boundary for the inhomogeneous obstacle problem with zero obstacle governed by the degenerate operatordiv(A(∇u))=fχ{u>0},where f is a positive, Lipschitz function, and A(∇u) is of the p-Laplacian type, i.e.,A(∇u)≈|∇u|p−2∇u,(2<p<∞).As a result of our analysis we obtain stability and finite (N−1)-Hausdorff measure of the free boundary. Our technique is a modified version of that of L.A. Caffarelli, who obtained similar results for p=2." @default.
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• W2016075097 date "2003-11-01" @default.
• W2016075097 modified "2023-10-03" @default.
• W2016075097 title "Hausdorff measure and stability for the p-obstacle problem (2<p<∞)" @default.
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• W2016075097 doi "https://doi.org/10.1016/j.jde.2003.06.002" @default.
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