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math.AP2023
Quantitative stability for the nonlocal overdetermined Serrin problem
Serena Dipierro, Giorgio Poggesi, Jack Thompson +1
We establish quantitative stability for the nonlocal Serrin overdetermined problem, via the method of the moving planes. Interestingly, our stability estimate is even better than t…
math.AP2023
Some nonlocal formulas inspired by an identity of James Simon
Serena Dipierro, Jack Thompson, Enrico Valdinoci
Inspired by a classical identity proved by James Simons, we establish a new geometric formula in a nonlocal, possibly fractional, setting. Our formula also recovers the classical c…