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 |
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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 |
Number of Pages: | 1 Online-Ressource (119 Seiten) |
Language: | English |
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edoc DOI: | |
Last Modified: | 02 Aug 2021 15:14 |
Deposited On: | 22 Jun 2017 12:27 |
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