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arXiv · 1306.2127

Monotonicity formulas for obstacle problems with Lipschitz coefficients

Matteo Focardi·Maria Stella Gelli·Emanuele Spadaro
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Abstract

We prove quasi-monotonicity formulas for classical obstacle-type problems with energies being the sum of a quadratic form with Lipschitz coefficients, and a Hölder continuous linear term. With the help of those formulas we are able to carry out the full analysis of the regularity of free-boundary points following the approaches by Caffarelli, Weiss and Monneau.

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Matteo Focardi, Maria Stella Gelli, Emanuele Spadaro. 2013-06-10. Monotonicity formulas for obstacle problems with Lipschitz coefficients. https://arxiv.org/abs/1306.2127

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