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math.AP2023
Epiperimetric inequalities in the obstacle problem for the fractional Laplacian
Matteo Carducci
Using the epiperimetric inequalities approach, we study the obstacle problem for the fractional Laplacian with obstacle $φ\in C^{k,γ}(\mathbb{R}^n…
math.AP2023
Optimal regularity of the thin obstacle problem by an epiperimetric inequality
Matteo Carducci
The key point to prove the optimal regularity of the thin obstacle problem is that the frequency at a point of the free boundary , say ,…