Nonlocal truncated Laplacians: representation formulas and Liouville results

Speaker: Giulio Galise 

La Sapienza Università di Roma, Italy

Date:  May 3, 2022 at 12 Santiago time

Venue: Online via Zoom / Sala de seminarios DIM, Beauchef 851, piso 5
Chair: Erwin Topp

Abstract: We consider some nonlinear extremal integral operators that approximate the, so called, degenerate truncated Laplacians. For these operators we obtain representation formulas that lead to the construction of “fundamental solutions” and  to Liouville type results. Differences with respect to both the local case and the uniformly elliptic framework will be emphasized.