most citedLocal behavior of fractional -minimizers

359 citations · 359 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2015★ 359 cited

Local behavior of fractional -minimizers

Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci

We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.

math.AP2014

Non-Local Isoperimetric Problems

Agnese Di Castro, Berardo Ruffini, Novaga Matteo +1

We characterize the volume-constrained minimizers of a nonlocal free energy given by the difference of the -perimeter and the -perimeter, with smaller than . Exploitin…

math.AP2014

Nonlocal Harnack inequalities

Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci

We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian.