32 citations · 98 across the 23 of their papers we have counts for
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math.AP2018
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 , , and provide an applicat…
math.AP2018
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems
Sergio Conti, Matteo Focardi, Flaviana Iurlano
We prove partial regularity for minimizers to elasticity type energies in the nonlinear framework {with -growth, ,} in dimension . It is an open problem in such a…
math.AP2018
How a minimal surface leaves a thin obstacle
Matteo Focardi, Emanuele Spadaro
We prove optimal regularity and a detailed analysis of the free boundary of the solutions to the thin obstacle problem for nonparametric minimal surfaces with flat obstacles.