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On local and nonlocal Moser-Trudinger inequalities

Iula, Stefano. On local and nonlocal Moser-Trudinger inequalities. 2017, Doctoral Thesis, University of Basel, Faculty of Science.

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Official URL: http://edoc.unibas.ch/diss/DissB_12168

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Abstract

Moser-Trudinger inequalities arise naturally in the study of the critical case of the well known Sobolev embeddings. In this work, we cover two issues related to Moser-Trudinger inequalities. We address the problem of the existence of extremal functions for Moser-Trudinger embeddings in the presence of singular potentials, and the problem of finding sharp Moser-Trudinger type inequalities in fractional Sobolev spaces.
Advisors:Martinazzi, Luca and Ruf, Bernhard
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Analysis (Martinazzi)
UniBasel Contributors:Iula, Stefano and Martinazzi, Luca
Item Type:Thesis
Thesis Subtype:Doctoral Thesis
Thesis no:12168
Thesis status:Complete
Bibsysno:Link to catalogue
Number of Pages:1 Online-Ressource (119 Seiten)
Language:English
Identification Number:
Last Modified:22 Jan 2018 15:52
Deposited On:22 Jun 2017 12:27

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