Extremals for Moser Inequalities
| Autor: | Mark Leckband, Steven M. Hudson |
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| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | Archive for Rational Mechanics and Analysis. 171:43-54 |
| ISSN: | 1432-0673 0003-9527 |
| DOI: | 10.1007/s00205-003-0280-7 |
| Popis: | This paper shows that extremals exist for four Moser inequalities involving exponential integrals. The results are for Sobolev spaces defined on the spheres S2 and S3, on the disk D2, and on RP2. The method that Carleson and Chang used for the n-ball, with boundary value zero, can be modified and applied to functions with mean value zero on these domains. This approach also provides an elementary proof of the Moser inequality for Sn, n≥2, which is a special case of a result of Fontana. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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