Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Sobolev inequalities involving boundary terms revisited   We revisit the sharp Sobolev inequalities involving boundary terms on
Riemannian manifolds with boundaries proved by \emph{[Y.Y. Li and M. Zhu, Geom.
Funct. Anal. \textbf{8} (1998), 59--87.]} and explore the role of the mean
curvature.

29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio