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math.AP2017★ 35 cited
Direct epiperimetric inequalities for the thin obstacle problem and applications
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the thin obstacle problem, we prove by a new direct method that in any dimension the Weiss' energies with frequency and , for , satisfy an epiperi…
math.AP2017
A logarithmic epiperimetric inequality for the obstacle problem
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the general obstacle problem, we prove by direct methods an epiperimetric inequality at regular and singular points, thus answering a question of Weiss (Invent. Math., 138 (199…