This paper is devoted to the study the combined effects of logarithmic and critical nonlinearities for the parametric Kirchhoff-Poisson system in a smooth bounded domain of the first Heisenberg group, involving the Kohn-Laplacian operator. Under suitable assumptions on the Kirchhoff function M, which cover the degenerate case, we prove the existence of nontrivial solutions for the problem when λ>0 is sufficiently large. Moreover, our results are new even in the Euclidean case.
Existence for critical Kirchhoff-Poisson systems in the Heisenberg group
Patrizia Pucci;
2022
Abstract
This paper is devoted to the study the combined effects of logarithmic and critical nonlinearities for the parametric Kirchhoff-Poisson system in a smooth bounded domain of the first Heisenberg group, involving the Kohn-Laplacian operator. Under suitable assumptions on the Kirchhoff function M, which cover the degenerate case, we prove the existence of nontrivial solutions for the problem when λ>0 is sufficiently large. Moreover, our results are new even in the Euclidean case.File in questo prodotto:
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