Weiss’ and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuous, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced.
The classical obstacle problem with Hölder continuous coefficients / Andreucci G.; Focardi M.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 226:(2023), pp. 113139.1-113139.17. [10.1016/j.na.2022.113139]
The classical obstacle problem with Hölder continuous coefficients
Focardi M.
2023
Abstract
Weiss’ and Monneau's type quasi-monotonicity formulas are established for quadratic energies having matrix of coefficients which are Dini, double-Dini continuous, respectively. Free boundary regularity for the corresponding classical obstacle problems under Hölder continuity assumptions is then deduced.
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