Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General second order conditions for extrema of functionals   We prove both necessary and sufficient second order conditions of extrema for
variational problems involving any higher order continuously twice
differentiable Lagrangians with multi-valued dependent functions of several
variables. Our analysis is performed in the framework of the finite dimensional
total jet space.

36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas