Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potential capacity and applications   We introduce a new capacity associated to a non negative function V. We apply
this notion to the study of a necessary and sufficient condition to ensure the
existence and uniqueness of a Schrodinger type equation with measure data and
with an operator whose coefficients are discontinuous . Our method is based
among others on a new topology and density results.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th