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- W1978443897 abstract "This paper is the first part of a program aimed at studying the regularity of sub-elliptic free boundaries. In the setting of Carnot groups we establish the optimal interior regularity of the solution to the obstacle problem in terms of the Folland-Stein non-isotropic class Γ 1,1 . This result constitutes the sub-elliptic counterpart of the classical C 1,1 regularity for Laplace equation. We also prove non-degeneracy properties of the solution and of its free boundary." @default.
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- W1978443897 date "2003-01-01" @default.
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- W1978443897 title "Variational inequalities with lack of ellipticity. Part I: Optimal interior regularity and non-degeneracy of the free boundary" @default.
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- W1978443897 doi "https://doi.org/10.1512/iumj.2003.52.2088" @default.
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