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arXiv · 1806.03179

Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications

Matteo Focardi·Francesco Geraci·Emanuele Spadaro
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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.

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Matteo Focardi, Francesco Geraci, Emanuele Spadaro. 2018-06-08. Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications. https://arxiv.org/abs/1806.03179

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