Monotonicity formulas for obstacle problems with Lipschitz coefficients
Analysis of PDEs
2013-06-11 v1
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 H\"older 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.
Cite
@article{arxiv.1306.2127,
title = {Monotonicity formulas for obstacle problems with Lipschitz coefficients},
author = {Matteo Focardi and Maria Stella Gelli and Emanuele Spadaro},
journal= {arXiv preprint arXiv:1306.2127},
year = {2013}
}