Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About symmetry in partially hinged composite plates   We consider a partially hinged composite plate problem and we investigate
qualitative properties, e.g. symmetry and monotonicity, of the eigenfunction
corresponding to the density minimizing the first eigenvalue. The analysis is
performed by showing related properties of the Green function of the operator
and by applying polarization with respect to a fixed plane. As a by-product of
the study, we obtain a Hopf type boundary lemma for the operator having its own
theoretical interest. The statements are complemented by numerical results.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg