Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On instability of Type (II) Lawson-Osserman Cones   We obtain the instability of Type (II) Lawson-Osserman cones in Euclidean
spaces, and thus provide a family of (uncountably many) unstable solutions with
singularity to the Dirichlet problem for minimal graphs of high codimension
versus smooth unstable ones by Lawson-Osserman through a min-max technique. To
our knowledge, these are the first examples of non-smooth unstable minimal
graphs and unlikely detectible through the mean curvature flow or min-max
theory.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con