Extremal functions for singular Moser-Trudinger embeddings

Iula, Stefano and Mancini, Gabriele. (2016) Extremal functions for singular Moser-Trudinger embeddings. Preprints Fachbereich Mathematik, 2016 (01).

[img] PDF - Published Version

Official URL: https://edoc.unibas.ch/69957/

Downloads: Statistics Overview


We study Moser-Trudinger type functionals in the presence of singular potentials. In particular we propose a proof of a singular Carleson-Chang type estimate by means of Onofri’s inequality for the unit disk in $\mathbb{R}^2$. Moreover we extend the analysis of [1] and [8] considering Adimurthi-Druet type functionals on compact surfaces with conical singularities and discussing the existence of extremals for such functionals.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Analysis (Martinazzi)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Iula, Stefano and Mancini, Gabriele
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:06 May 2019 22:33
Deposited On:28 Mar 2019 09:51

Repository Staff Only: item control page