The classical obstacle problem with Hölder continuous coefficients

Published 15 Apr 2022 in math.AP | (2204.07535v2)

Abstract: Weiss' and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuity, respectively. Free boundary regularity for the corresponding classical obstacle problems under H\"older continuity assumptions is then deduced.

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