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

Matteo Focardi, Francesco Geraci, Emanuele Spadaro

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 applicat…