A weighted form of Moser–Trudinger inequ
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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