Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New existence results for prescribed mean curvature problem on balls
  under pinching conditions   We consider a kind of Yamabe problem whose scalar curvature vanishes in the
unit ball $\mathbb{B}^n$ and on the boundary $\mathbb{S}^{n-1}$ the mean
curvature is prescribed. By combining critical points at infinity approach with
Morse theory we obtain new existence results in higher dimensional case $n\geq
5$, under suitable pinching conditions on the mean curvature function.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat