3 papers
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
Efficiency functionals for the Lévy flight foraging hypothesis
Serena Dipierro, Giovanni Giacomin, Enrico Valdinoci
We consider a forager diffusing via a fractional heat equation and we introduce several efficiency functionals whose optimality is discussed in relation to the Lévy exponent of the…
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…