Abstract
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.
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The research of the second author was partially supported by NSFC grant and the Foundation of Shanghai for Priority Academic Discipline.
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Li, Y., Liu, P. & Yang, Y. Moser–Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2. Calc. Var. 28, 59–83 (2007). https://doi.org/10.1007/s00526-006-0031-3
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DOI: https://doi.org/10.1007/s00526-006-0031-3