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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
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.