Improved Interpolation Inequalities and Stability

Autor:	Dolbeault Jean, Esteban Maria J.
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	interpolation gagliardo–nirenberg inequalities sobolev inequality logarithmic sobolev inequality poincaré inequality heat equation nonlinear diffusion 26d10 46e35 58e35 Mathematics QA1-939
Zdroj:	Advanced Nonlinear Studies, Vol 20, Iss 2, Pp 277-291 (2020)
Druh dokumentu:	article
ISSN:	1536-1365 2169-0375
DOI:	10.1515/ans-2020-2080
Popis:	For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities. The method provides us with lower estimates of the optimal constants in the symmetry breaking range and stability estimates for the optimal functions. Some of these results can be reformulated in the Euclidean space using the stereographic projection.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2b90235999ca48a3aa9e3e579e630bfa Zobrazit plný text záznamu View record in DOAJ