“The Neumann problem in metric measure spaces and applications to non-local p-Laplacians”
Giovedì 18 Settembre 2025, ore 12:30 - Aula 1BC50 - Luca Capogna (Smith College)
Abstract
We review the ongoing program joint with Gibara, Korte, and Shanmugalingam, aimed at extending the Caffarelli-Silvestre approach to non-local operators from the Euclidean space to general doubling metric measure spaces. An integral component of this program is the study of the well-posedness of the Neumann problem in uniform domains in metric measure spaces that satisfy a Poincarè inequality and a doubling condition.
