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Trudinger–Moser inequalities on complete noncompact Riemannian manifolds

✍ Scribed by Yunyan Yang


Book ID
116647210
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
360 KB
Volume
263
Category
Article
ISSN
0022-1236

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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