Open Access Research Article

Characterization of Trudinger's inequality

T Ozawa

  • Correspondence: T Ozawa

Author Affiliations

Department of Mathematics, Hokkaido University, Sapporo 060, Japan

Journal of Inequalities and Applications 1997, 1997:643931 doi:10.1155/S102558349700026X

Published:

Abstract

A characterization of a sharp form of Trudinger's inequality is established in terms of the Gagliardo-Nirenberg inequality in the limiting case for Sobolev's imbeddings.

Keywords:
Trudinger's inequality; Gagliardo-Nirenberg's inequality; Sobolev's inequality