Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient Estimates for the Perfect Conductivity Problem   This paper concerns optimal gradient estimates of solutions for the perfect
conductivity problem with closely spaced interfacial boundaries. The problem
arises from composite material. Our estimates exhibit different blow up rates
of the gradients, as the distance between the inclusions goes to zero, in
dimensions n=2, n=3 and n\ge 4, which become higher as dimensions increase.

22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph