Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of minimizers for generalized Lagrangian functionals and a
  necessary optimality condition --- Application to fractional variational
  problems   We study dynamic minimization problems of the calculus of variations with
generalized Lagrangian functionals that depend on a general linear operator $K$
and defined on bounded-time intervals. Under assumptions of regularity,
convexity and coercivity, we derive sufficient conditions ensuring the
existence of a minimizer. Finally, we obtain necessary optimality conditions of
Euler-Lagrange type. Main results are illustrated with special cases, when $K$
is a general kernel operator and, in particular, with $K$ the fractional
integral of Riemann-Liouville and Hadamard. The application of our results to
the recent fractional calculus of variations gives answer to an open question
posed in [Abstr. Appl. Anal. 2012, Art. ID 871912; doi:10.1155/2012/871912].

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th