Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation formula and bi-Lipschitz continuity of solutions to
  inhomogeneous biharmonic Dirichlet problems in the unit disk   The aim of this paper is twofold. First, we establish the representation
formula and the uniqueness of the solutions to a class of inhomogeneous
biharmonic Dirichlet problems, and then prove the bi-Lipschitz continuity of
the solutions.

0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics