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Limit of fractional power Sobolev inequalities
- Source :
- Journal of Functional Analysis. 274:1177-1201
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.<br />Comment: 17 pages
- Subjects :
- 42B37, 35S05, 58J40
010102 general mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Limiting
16. Peace & justice
01 natural sciences
Fractional power
Sobolev inequality
010101 applied mathematics
Continuation
Mathematics - Analysis of PDEs
FOS: Mathematics
Applied mathematics
Mathematics::Differential Geometry
Limit (mathematics)
0101 mathematics
Analysis
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- ISSN :
- 00221236
- Volume :
- 274
- Database :
- OpenAIRE
- Journal :
- Journal of Functional Analysis
- Accession number :
- edsair.doi.dedup.....e9463ecaa05c1006bbeb72ad371c3f0b
- Full Text :
- https://doi.org/10.1016/j.jfa.2017.08.022