摘要
本文主要采用变分方法研究一类非局部问题.先用山路引理得到问题非零非负解的存在性,再根据极大值原理得到正解的存在性,最后通过反证法得到正解的唯一性结果.
A kind of nonlocal problems was studied main via variational method. Firstly, the mountain pass lemma was using to got the existence of non-zero nonnegative solution for the problems. Then, the positive solution was obtained according to the maximum principle. Finally, by contradiction concluded the uniqueness of positive solution.
出处
《应用泛函分析学报》
2017年第1期95-103,共9页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11661021)
贵州民族大学科研基金资助项目(16yjsxm045)
贵州省科技厅联合基金(LH[2015]7207)
贵州省教育厅科研基金(KY[20161163
KY[2016]029
KY[2013]405)
关键词
变分方法
非局部问题
山路引理
极大值原理
正解的唯一性
variational method
nonlocal problem
mountain pass lemma
maximumprinciple
uniqueness of positive solution
