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Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 715961, 6 pages
doi:10.1155/2008/715961

Research Article

Brézis-Wainger Inequality on Riemannian Manifolds

Przemysław Górka

Department of Mathematics and Information Sciences, Warsaw University of Technology, Pl. Politechniki 1, 00661 Warsaw, Poland

Received 10 November 2007; Accepted 29 April 2008

Recommended by Shusen Ding

Abstract

The Brézis-Wainger inequality on a compact Riemannian manifold without boundary is shown. For this purpose, the Moser-Trudinger inequality and the Sobolev embedding theorem are applied.