Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 715961, 6 pages
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

Academic Editor: Shusen Ding

Copyright © 2008 Przemysław Górka. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.