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On critical exponential Kirchhoff systems on the Heisenberg group

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arxiv 2209.05058 v1 pith:GXF4Y24C submitted 2022-09-12 math.AP math.FA

classification math.APmath.FA
keywords criticalexponentialkirchhoffcasegroupheisenbergsystemscovers
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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.

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