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A weighted form of Moser–Trudinger inequality on Riemannian surface

✍ Scribed by Yunyan Yang

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
219 KB
Volume
65
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let (Σ , g) be a compact Riemannian surface without boundary. In this paper we shall use blowing up analysis to prove that sup

Furthermore we show that there exists an extremal function for the above inequality. In other words, we show that sup Σ |∇u| 2 f dV g =1, Σ udV g =0 Σ e 4π f u 2 dV g is attained.

📜 SIMILAR VOLUMES

On a class of singular Trudinger-Moser t
On a class of singular Trudinger-Moser type inequalities and its applications
✍ João Marcos do Ó; Manassés de Souza 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB

## Abstract This paper deals with an improvement of a class of the Trudinger‐Moser inequality with a singular weight associated to the embedding of the standard Sobolev space __H__^1^~0~(Ω) into Orlicz spaces for any smooth domain \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyl