Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Surfaces of Prescribed Weighted Mean Curvature   Utilizing a weight matrix we study surfaces of prescribed weighted mean
curvature which yield a natural generalisation to critical points of
anisotropic surface energies. We first derive a differential equation for the
normal of immersions with prescribed weighted mean curvature, generalising a
result of Clarenz and von der Mosel. Next we study graphs of prescribed
weighted mean curvature, for which a quasilinear elliptic equation is proved.
Using this equation, we can show height and boundary gradient estimates.
Finally, we solve the Dirichlet problem for graphs of prescribed weighted mean
curvature.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat