Doubly optimal homogeneous trace Sobolev inequality in a solid torus

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:424

Article

Cotsiolis, Athanase¹  Labropoulos, Nikos¹ 

[1] Univ Patras, Dept Math, GR-26110 Patras, Greece

关键词: Homogeneous trace Sobolev inequality;    Best constants;    Solid torus;   

DOI  :  10.1016/j.jmaa.2014.11.026

来源: Elsevier

【 摘 要 】

In this paper, using techniques that exploit the symmetry presented by the solid torus we study the problem of determining both the best constants for the doubly homogeneous trace Sobolev inequality, which in the general case studied by Maggi and Villani in [16]. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free