中北大学学报（自然科学版）2017，Vol.38Issue(5)：513-517,5.DOI:10.3969/j.issn.1673-3193.2017.05.002
一类p-基尔霍夫方程的正解
Positive Solution of the p-Kirchhoff Equation
摘要
Abstract
The existence of positive solutions for p-Kirchhoff-type equation with a potential function on RN was investigated by using variational methods.Firstly,(C)c sequence of the energy functional corre-sponding to the equation was obtained.Secondly,it was demonstrated that the (C)c sequence contained the convergent subsequence through the boundedness of the sequence,the property of radial symmetry space and the assumptions of the potential function,and then the problem (P)has at least one nontrivial solution.Finally,it draws the conclusion that the nontrivial solution is positive.关键词
p-基尔霍夫方程/(C)c序列/山路引理/正解Key words
p-Kirchhoff equation/(C)c sequence/mountain pass theorem/positive solution分类
数理科学引用本文复制引用
刘峰霞,张建明,王淑丽,郭祖记..一类p-基尔霍夫方程的正解[J].中北大学学报（自然科学版）,2017,38(5):513-517,5.基金项目
山西省自然科学基金资助项目(201601D102001) （201601D102001）
