$The classical obstacle problem with H\"older continuous coefficients$

The classical obstacle problem with H\"older continuous coefficients

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 assumpt...

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Bibliographische Detailangaben
Hauptverfasser:	Andreucci, Giovanna, Focardi, Matteo
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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Beschreibung
Zusammenfassung:	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.
DOI:	10.48550/arxiv.2204.07535