Seminari in programmazione durante l'anno accademico 2025-2026
Seminari in programmazione durante l'anno accademico 2025-2026
18 settembre 2025 alle ore 12h30: Luca Capogna
Luca Capogna (Smith College)
The Neumann problem in metric measure spaces and applications to non-local p-Laplacians
18 settembre 2025 alle ore 12:30: in aula 1BC50
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 Poincare' inequality and a doubling condition.