Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of Hamiltonian paths connecting Lagrangian submanifolds   We use a new variational method --based on the theory of anti-selfdual
Lagrangians developed in [2] and [3]-- to establish the existence of solutions
of convex Hamiltonian systems that connect two given Lagrangian submanifolds in
$\R^{2N}$. We also consider the case where the Hamiltonian is only semi-convex.
A variational principle is also used to establish existence for the
corresponding Cauchy problem. The case of periodic solutions will be considered
in a forthcoming paper [5].

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th