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arXiv · 2204.07535

The classical obstacle problem with H\"older continuous coefficients

Giovanna Andreucci·Matteo Focardi
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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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Giovanna Andreucci, Matteo Focardi. 2022-04-15. The classical obstacle problem with H\"older continuous coefficients. https://arxiv.org/abs/2204.07535

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