Vishal Kumar, Sarika Goyal
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 \(\mathbb{Z}_2\)-symmetric version of mountain pass theorem.
Submitted April 6, 2026. Published August 11, 2026.
Math Subject Classifications: 35J10, 35J50, 35J60.
Key Words: Quasilinear Schrodinger system of Kirchhoff equation; Hardy potential; Choquard Critical nonlinearity; Infinitely many solutions.
DOI: 10.58997/ejde.2026.60
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Vishal Kumar Department of Mathematics Netaji Subhash University of Technology Dwarka sector-3, India email: vishal.kumar.phd25@nsut.ac.in |
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Sarika Goyal Department of Mathematics Netaji Subhash University of Technology Dwarka sector-3, India email: sarika@nsut.ac.in, sarika1.iitd@gmail.com |
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