Optimal regularity of the thin obstacle problem by an epiperimetric inequality

Author:

Carducci MatteoORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference13 articles.

1. Athanasopoulos, I., Caffarelli, L.: Optimal regularity of lower dimensional obstacle problems. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov 310 (2004)

2. Athanasopoulos, I., Caffarelli, L., Salsa, S.: The structure of the free boundary for lower dimensional obstacle problems. Amer. J. Math 130 (2008)

3. Almgren, F.J.: Almgren’s big regularity paper: Q-valued functions minimizing dirichlet’s integral and the regularity of area-minimizing rectifiable currents up to codimension 2. World Scientific Monograph Series in Mathematics (2000)

4. Caffarelli, L.: Further regularity for the Signorini problem. Comm. Partial Differential Equations 4 (1979)

5. Colombo, M., Spolaor, L., Velichkov, B.: Direct epiperimetric inequalities for the thin obstacle problem and applications. Comm. Pure Appl. Math. 73 (2020)

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1. Epiperimetric inequalities in the obstacle problem for the fractional Laplacian;Calculus of Variations and Partial Differential Equations;2024-06-25

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