Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hidden convexity in some nonlinear PDEs from geometry and physics   The purpose of the present paper is to show few examples of nonlinear PDEs
(mostly with strong geometric features) for which there is a hidden convex
structure. This is not only a matter of curiosity. Once the convex structure is
unrevealed, robust existence and uniqueness results can be unexpectedly
obtained for very general data. Of course, as usual, regularity issues are left
over as a hard post-process, but, at least, existence and uniqueness results
are obtained in a large framework. The paper will address: THE MONGE-AMPERE
EQUATION, THE EULER EQUATION, MULTIDIMENSIONAL HYPERBOLIC SCALAR CONSERVATION
LAWS AND THE BORN-INFELD SYSTEM.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph