A class of critical Kirchhoff-Poisson systems on Heisenberg group was studied.Due to the existence of critical and non-local terms,the space embedding was not compact.Under the assumptions that the nonlinear terms were appropriate,the space compactness was overcame by the variational method and established the existence of at least one solution to this system.Furthermore,using deformation lemma and topological degree theory,it was proved that the solution was a sign-changing solu-tion.
关键词
Heisenberg群/Kirchhoff-Poisson系统/变分方法/形变引理/拓扑度理论
Key words
Heisenberg group/Kirchhoff-Possion system/variational method/deformation lemma/topological degree theory
维普
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