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Journal of Inequalities and Applications 
Volume 1 (1997), Issue 4, Pages 369-374
doi:10.1155/S102558349700026X

Characterization of Trudinger’s inequality

T. Ozawa

Department of Mathematics, Hokkaido University, Sapporo 060, Japan

Received 21 January 1997

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.