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Peer-reviewedCC BYElectronic Journal of Differential Equations

Systems of Kirchhoff quasilinear Schrodinger equations with Hardy potential and critical Choquard-type nonlinearity

  • Vishal Kumar1
  • Sarika Goyal1
  1. 1Netaji Subhash Univ. of Technology, India
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Abstract

In this article, we study the existence of solutions for a system of Kirchhoff quasilinear Schrodinger equations involving Hardy potential and critical Choquard-type nonlinearity with parameters. We first establish the concentration compactness principle for our problem. Then, we prove the existence of at least n pairs of solutions for different exponent of subcritical perturbation by employing the symmetric mountain pass theorem, Krasnoselskii's genus theory and ℤ2-symmetric version of mountain pass theorem.

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Cite

BibTeXRIS
BibTeX
@article{kumar2026systems,
  title = {{Systems of Kirchhoff quasilinear Schrodinger equations with Hardy potential and critical Choquard-type nonlinearity}},
  author = {Vishal Kumar and Sarika Goyal},
  journal = {Electronic Journal of Differential Equations},
  year = {2026},
  month = aug,
  doi = {10.58997/ejde.2026.60},
  url = {http://ejde.math.txstate.edu/Volumes/2026/60/abstr.html},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Systems of Kirchhoff quasilinear Schrodinger equations with Hardy potential and critical Choquard-type nonlinearity
AU  - Vishal Kumar
AU  - Sarika Goyal
PY  - 2026
DA  - 2026/08/01
JO  - Electronic Journal of Differential Equations
DO  - 10.58997/ejde.2026.60
UR  - http://ejde.math.txstate.edu/Volumes/2026/60/abstr.html
AB  - In this article, we study the existence of solutions for a system of Kirchhoff quasilinear Schrodinger equations involving Hardy potential and critical Choquard-type nonlinearity with parameters. We first establish the concentration compactness principle for our problem. Then, we prove the existence of at least n pairs of solutions for different exponent of subcritical perturbation by employing the symmetric mountain pass theorem, Krasnoselskii's genus theory and ℤ_2-symmetric version of mountain pass theorem.
SN  - 1072-6691
ER  -