Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational methods for the selection of solutions to an implicit system
  of PDEs   We consider the vectorial system \[ \begin{cases} Du \in \mathcal{O}(2), &
\mbox{a.e. in}\;\Omega, u=0, & \mbox{on} \;\partial \Omega, \end{cases} \]
where $\Omega$ is a subset of $\R^2$, $u:\Omega\to \R^2$ and $\mathcal{O}(2)$
is the orthogonal group of $\R^2$. We provide a variational method to select,
among the infinitely many solutions, the ones that minimize an appropriate
weighted measure of the singular set of the gradient.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con