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.
Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications / Matteo Focardi, Francesco Geraci, Emanuele Spadaro. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 1573-2878. - STAMPA. - 184:(2020), pp. 125-138. [10.1007/s10957-018-1398-y]
Quasi-Monotonicity Formulas for Classical Obstacle Problems with Sobolev Coefficients and Applications
Matteo Focardi
;
2020
Abstract
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.
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