On critical exponential Kirchhoff systems on the Heisenberg group

TL;DR

This paper proves the existence of solutions for critical exponential Kirchhoff systems on the Heisenberg group using variational methods, addressing both critical growth and degenerate Kirchhoff functions, with novel results even in Euclidean space.

Contribution

It introduces a new approach to critical exponential Kirchhoff systems on the Heisenberg group, including degenerate cases, extending known results to Euclidean space.

Findings

Existence of solutions established for the systems.

Handles degenerate Kirchhoff functions.

Results are new even in Euclidean space.

Abstract

In this paper, existence of solutions is established for critical exponential Kirchhoff systems on the Heisenberg group by using the variational method. The novelty of our paper is that not only the nonlinear term has critical exponential growth, but also that Kirchhoff function covers the degenerate case. Moreover, our result is new even for the Euclidean case.