Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of the solution of the scalar Signorini problem in polygonal
  domains   The Signorini problem for the Laplace operator is considered in a general
polygonal domain. It is proved that the coincidence set consists of a finite
number of boundary parts plus isolated points. The regularity of the solution
is described. In particular, we show that the leading singularity is in general
$r_i^{\pi/(2\alpha_i)}$ at transition points of Signorini to Dirichlet or
Neumann conditions but $r_i^{\pi/\alpha_i}$ at kinks of the Signorini boundary,
with $\alpha_i$ being the internal angle of the domain at these critical
points.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph