Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyharmonic Kirchhoff problems involving exponential non-linearity of
  Choquard type with singular weights   In this work, we study the higher order Kirchhoff type Choquard equation
$(KC)$ involving a critical exponential non-linearity and singular weights. We
prove the existence of solution to $(KC)$ using Mountain pass Lemma in light of
Moser-Trudinger and singular Adams-Moser inequalities. In the second part of
the paper, using the Nehari manifold technique and minimization over its
suitable subsets, we prove the existence of at least two solutions to the
Kirchhoff type Choquard equation $(\mathcal{P_{\la,M}})$ involving
convex-concave type non-linearity.

19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas