Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2
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DOI：
10.1007/s00526-006-0031-3
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发表时间：
2005-10
影响因子：
2.1
通讯作者：
Yuxiang Li;Pan Liu;Y. Yang
中科院分区：
文献类型：
--
作者：
Yuxiang Li;Pan Liu;Y. Yang
设（M，g）是二维紧致黎曼流形.本文利用爆破分析的方法证明了（M，g）上向量丛的几个Moser-Trudinger型不等式.我们还得到了一个上界的假设下，爆破发生这样的不等式。
Let (M,g) be a two-dimensional compact Riemannian manifold. In this paper, we use the method of blowing up analysis to prove several Moser–Trudinger type inequalities for vector bundle over (M,g). We also derive an upper bound of such inequalities under the assumption that blowing up occurs.