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A sharp form of trace Moser–Trudinger inequality on compact Riemannian surface with boundary

✍ Scribed by Yunyan Yang


Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
274 KB
Volume
255
Category
Article
ISSN
0025-5874

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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