Published Paper

Inserted: 13 apr 2022
Last Updated: 2 mar 2023

Journal: Nonlinear Anal.
Volume: 226
Year: 2023
Links: Paper

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.

Keywords: classical obstacle problem, Hoelder coefficients

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