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A Moser-Trudinger inequality on the boundary of a compact Riemann surface

✍ Scribed by Yuxiang Li; Pan Liu


Publisher
Springer-Verlag
Year
2005
Tongue
French
Weight
233 KB
Volume
250
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES


A weighted form of Moser–Trudinger inequ
✍ Yunyan Yang 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 219 KB

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 at