582 citations · 798 across the 15 of their papers we have counts for
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-harmonic approximation of functions of least -seminorm
Claudia Bucur, Serena Dipierro, Luca Lombardini +2
We investigate the convergence as of the minimizers of the -energy for and to those of the -energy, both in the pointwis…
On the mean value property of fractional harmonic functions
Claudia Bucur, Serena Dipierro, Enrico Valdinoci
As well known, harmonic functions satisfy the mean value property, namely the average of the function over a ball is equal to its value at the center. This fact naturally raises th…
Minimisers of a fractional seminorm and nonlocal minimal surfaces
Claudia Bucur, Serena Dipierro, Luca Lombardini +1
The recent literature has intensively studied two classes of nonlocal variational problems, namely the ones related to the minimisation of energy functionals that act on functions…
An asymptotic expansion for the fractional -Laplacian and for gradient dependent nonlocal operators
Claudia Bucur, Marco Squassina
Mean value formulas are of great importance in the theory of partial differential equations: many very useful results are drawn, for instance, from the well known equivalence betwe…