Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, venerdì 23 Maggio alle ore 16 in Aula Riunioni, avremo il piacere di ascoltare Dorin Bucur (Université de Savoie Mont Blanc), che terrà un seminariohttps://www.dm.unipi.it/en/seminar/?id=67ee42f620d73a92fb7ed141 dal titolo “On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn”. Trovate l'abstract qui sotto.
A presto, Luigi Forcella —————————————————
Dear all,
on Friday May 23rd at 4PM in Aula Riunioni, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Dorin Bucur (Université de Savoie Mont Blanc). The title of the talkhttps://www.dm.unipi.it/en/seminar/?id=67ee42f620d73a92fb7ed141 is “On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn". Please find the abstract below.
See you soon, Luigi Forcella -----------------------------------
Speaker: Dorin Bucur (Université de Savoie Mont Blanc)
Title: On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn
Abstract: The starting point is the Faber-Krahn inequality on the first eigenvalue of the Dirichlet Laplacian. Many refinements were obtained in the last years, mainly due to the use of recent techniques based on the analysis of vectorial free boundary problems. It turns out that the polygonal version of this inequality, very easy to state, is extremely hard to prove and remains open since 1947, when it was conjectured by Polya. I will connect this question to somehow easier problems, like polygonal versions of Hardy-Littlewood and Riesz inequalities and I will discuss the local minimality of regular polygons and the possibility to prove the conjecture by a mixed approach. This talk is based on joint works with Beniamin Bogosel and Ilaria Fragalà.
----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy