Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unilateral global bifurcation for a class of quasilinear elliptic
  systems and applications   In this paper we establish a unilateral bifurcation result for a class of
quasilinear elliptic system strongly coupled, extending a bifurcation theorem
due to J. L\'opez-G\'omez. To this aim, we use several results, such that
Fredholm operator of index $0$ theory, eigenvalues of elliptic operators and
the Krein-Rutman theorem. Lastly, we apply this result to some particular
systems arising from population dynamics and determine a region of existence of
coexistence states.

18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
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The categories of this paper are: eess