Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H^2-regularity for a two-dimensional transmission problem with geometric
  constraint   The H^2-regularity of variational solutions to a two-dimensional transmission
problem with geometric constraint is investigated, in particular when part of
the interface becomes part of the outer boundary of the domain due to the
saturation of the geometric constraint. In such a situation, the domain
includes some non-Lipschitz subdomains with cusp points, but it is shown that
this feature does not lead to a regularity breakdown. Moreover, continuous
dependence of the solutions with respect to the domain is established.

23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas