Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimum principles and a priori estimates for some translating soliton
  type problems   In this paper we are dealing with two classes of mean curvature type problems
that generalize the translating soliton problem. A first result proves that the
solutions to these problems have unique interior critical points. Using this
uniqueness result, we next derive a priori $C^0$ and $C^1$ estimates for the
solutions to these problems, by means of some minimum principles for
appropriate $P$-functions, in the sense of L.E. Payne.

35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph