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Extremal functions for singular Moser-Trudinger embeddings

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

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

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Abstract

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
Language:English
Last Modified:06 May 2019 22:33
Deposited On:28 Mar 2019 09:51

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