Nonlocal truncated Laplacians: representation formulas and Liouville results.

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.

Posted on May 2, 2022 in Differential Equations, Seminars