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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 solution. [ABSTRACT FROM AUTHOR]

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The Neumann boundary value problem about a class of Kirchhoff type equations with sign? changing potential terms was studied. By means of the variational method and the decomposition process for the underly? ing space, the energy functional was proved to satisfy the mountain pass geometry. Then,the energy functional (PS) sequence was proved to have a strongly convergent subsequence. Finally,the existence of two nontrivial solutions was obtained by Ekeland’s variational principle and the mountain pass lemma. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Guangxi Normal University - Natural Science Edition is the property of Gai Kan Bian Wei Hui and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Copyright of Journal of Nanchang University (Natural Science) is the property of Journal of Nanchang University (Natural Science) Editorial Office and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)