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Blow-up analysis concerning singular Trudinger–Moser inequalities in dimension two.
- Source :
-
Journal of Functional Analysis . Apr2017, Vol. 272 Issue 8, p3347-3374. 28p. - Publication Year :
- 2017
-
Abstract
- In this paper, we derive a sharp version of the singular Trudinger–Moser inequality, which was originally established by Adimurthi and Sandeep [2] . Moreover, extremal functions for those singular Trudinger–Moser inequalities are also obtained. Our method is the blow-up analysis. Compared with our previous work ( [32] ), the essential difficulty caused by the presence of singularity is how to analyse the asymptotic behavior of certain maximizing sequence near the blow-up point. We overcome this difficulty by combining two different classification theorems of Chen and Li [6,7] to get the desired bubble. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 272
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 121491827
- Full Text :
- https://doi.org/10.1016/j.jfa.2016.12.028