Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple solutions for elliptic equations involving a general operator
  in divergence form   In this paper, exploiting variational methods, the existence of three weak
solutions for a class of elliptic equations involving a general operator in
divergence form and with Dirichlet boundary condition is investigated. Several
special cases are analyzed. In conclusion, for completeness, a concrete example
of an application is presented by finding the existence of three nontrivial
weak solutions for an uniformly elliptic second-order problem on a bounded
Euclidean domain.

34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th