Published Paper
Inserted: 8 jun 2018
Last Updated: 17 dec 2018
Journal: JOTA
Year: 2018
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Abstract:
We establish Weiss' and Monneau's type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space $W^{1,p}$, $p>n$, and provide an application to the corresponding free boundary analysis for the related classical obstacle problems.
Keywords: Classical obstacle problem, free boundary, monotonicity formulas
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