Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications
01 Pubblicazione su rivista
Focardi M., Geraci F., Spadaro E.
ISSN: 0022-3239
We establish Weiss’ and Monneau’s type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space with summability exponent larger than the space dimension and provide an application to the corresponding free boundary analysis for the related classical obstacle problems.