Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 715961, 6 pages
Brézis-Wainger Inequality on Riemannian Manifolds
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.