Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications
Analysis of PDEs
2018-06-11 v1
Abstract
We establish Weiss' and Monneau's type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space , , and provide an application to the corresponding free boundary analysis for the related classical obstacle problems.
Cite
@article{arxiv.1806.03179,
title = {Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications},
author = {Matteo Focardi and Francesco Geraci and Emanuele Spadaro},
journal= {arXiv preprint arXiv:1806.03179},
year = {2018}
}