Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus

Autor:	Bartuccelli, Michele V., Deane, Jonathan H. B., Zelik, Sergey
Rok vydání:	2010
Předmět:	Mathematics - Functional Analysis 52A40 46E35
Druh dokumentu:	Working Paper
Popis:	We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best constants, various remainder terms, etc. Most attention is paid to the critical (logarithmic) Sobolev inequality in the two-dimensional case, although a number of results concerning the best constants in the algebraic case and different space dimensions are also obtained. Comment: 31 pages, 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1012.2061 Zobrazit plný text záznamu View this record from Arxiv