Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On some Variational Problems set on domains tending to infinity   Let $\Omega_\ell = \ell\omega_1 \times \omega_2$ where $\omega_1 \subset
\R^p$ and $\omega_2 \subset \R^{n-p}$ are assumed to be open and bounded. We
consider the following minimization problem: $$E_{\Omega_\ell}(u_\ell) =
\min_{u\in W_0^{1,q}(\Omega_\ell)}E_{\Omega_\ell}(u)$$ where
$E_{\Omega_\ell}(u) = \int_{\Omega_\ell}F(\grad u)-fu$, $F$ is a convex
function and $f\in L^{q'}(\omega_2)$. We are interested in studying the
asymptotic behavior of the solution $u_\ell$ as $\ell$ tends to infinity.

17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn