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math.AP2016★ 2 cited
Definition of fractional Laplacian for functions with polynomial growth\tha
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
We introduce a notion of fractional Laplacian for functions which grow more than linearly at infinity. In such case, the operator is not defined in the classical sense: nevertheles…
math.AP2016
Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness
Serena Dipierro, Enrico Valdinoci
We consider surfaces which minimize a nonlocal perimeter functional and we discuss their interior regularity and rigidity properties, in a quantitative and qualitative way, and the…