中北大学学报（自然科学版）2018，Vol.39Issue(1)：8-13,68,7.DOI:10.3969/j.issn.1673-3193.2018.01.002
一类Schrödinger-Kirchhoff-Possion系统的非平凡解
Nontrivial Solutions for a Class of Schr?dinger-Kirchhoff-Possion Systems
摘要
Abstract
By means of variational methods, the existence of nontrivial solutions for a class of Schr?dinger-Kirchhoff-Possion systems was considered.Firstly,it is proved that the energy functional corresponding to the problem possesses the geometric structure of the mountain pass lemma.Secondly, a (PS)c sequence satisfying asymptotic property G(un)=o(1)which combines Nehari manihold with Poho?aev manifold is obtained by the general minimax principle.Finally,it is proved that the (PS)c se-quence is bounded and has strong convergent subsequence.关键词
Schrödinger-Kirchhoff-Possion系统/变分法/(PS)c条件/流形/非平凡解Key words
Schrödinger-Kirchhoff-Possion systems/variational methods/(PS)c condition/manifold/nontrivial solutions分类
数理科学引用本文复制引用
吕利梅,王淑丽,郭祖记..一类Schrödinger-Kirchhoff-Possion系统的非平凡解[J].中北大学学报（自然科学版）,2018,39(1):8-13,68,7.基金项目
国家自然科学青年基金资助项目(11601363) （11601363）
山西省自然科学基金资助项目(201601D102001) （201601D102001）
