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math.AP2023
A fractional Willmore-type energy functional -- subcritical observations
Simon Blatt, Giovanni Giacomin, Julian Scheuer +1
We investigate surfaces with bounded L^p-norm of the fractional mean curvature, a quantity we shall refer to as fractional Willmore-type functional. In the subcritical case and und…
math.AP2022
The Fractional Malmheden Theorem
Serena Dipierro, Giovanni Giacomin, Enrico Valdinoci
We provide a fractional counterpart of the classical results by Schwarz and Malmheden on harmonic functions. From that we obtain a representation formula for -harmonic functions…