# PDEA Seminar: Compact Sobolev embeddings and asymptotics for the sharp constant

• Date: –11:15
• Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å64119 + Zoom
• Lecturer: Anna Chiara Zagati
• Organiser: Matematiska institutionen
• Contact person: Kaj Nyström

Welcome to this seminar held by Anna Chiara Zagati with the title "Compact Sobolev embeddings and asymptotics for the sharp constant".

Participate on site or via Zoom link, meeting ID 67226102216.

Abstract: We discuss the relation between the embedding of the homogeneous Sobolev space $D^{1,p}_0$ into $L^q$ (when q \le p) and the summability properties of the distance function of a general open set. Moreover, this analysis permits to study the asymptotic behaviour for the sharp Sobolev-Poincaré constant and for the positive solution of the Lane-Emden equation with the p-Laplacian in the sub-homogeneous case, as p goes to $\infty$.

This is a seminar in the PDEs and Applications seminar series