Sharp Hardy inequalities on the solid torus

Autor:	Athanase Cotsiolis, Nikos Labropoulos
Rok vydání:	2017
Předmět:	Pure mathematics Applied Mathematics 010102 general mathematics Mathematical analysis Regular polygon Clifford torus Complex torus 01 natural sciences 010101 applied mathematics Sobolev space Solid torus Homogeneous space 0101 mathematics Symmetry (geometry) Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 448:841-863
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2016.11.042
Popis:	In this paper, we establish the classical Hardy inequality in the solid torus and some variants of it. The general idea is to use the fact that Sobolev embeddings can be improved in the presence of symmetries. In all cases, using techniques that exploit the symmetry presented by the solid torus, we calculate the displayed best constants and we prove that they are the same as the standard Hardy best constants which appear in convex domains although the solid torus is not convex.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::98b28fe9d6d8a4d5c0bfe87999089714 https://doi.org/10.1016/j.jmaa.2016.11.042 Zobrazit plný text záznamu Full Text from ScienceDirect