Seminari in programmazione durante l'anno accademico 2025-2026

Isabeau Birindelli  (Università di Roma Sapienza)

Fully nonlinear equations in thin domains, à la Evans

25 settembre 2025 alle ore 11:30: in aula 2AB45

We will present some recent works and works in progress with Ariela Briani and Hitoshi Ishii, where we consider the asymptotic behaviors of solutions of equations in family of domains which "lose" one dimension at the limit. Starting from new proofs for old results and obtaining new insights in particular for general oblique boundary conditions. The analysis is done through the perturbed test function approach à la Evans.

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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.

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