| 一类带线性项非局部问题解的存在性与非存在性 |
| |
| 引用本文： | 贾秀玲,段誉.一类带线性项非局部问题解的存在性与非存在性[J].西南师范大学学报(自然科学版),2018,43(10):22-25. |
| |
| 作者姓名： | 贾秀玲 段誉 |
| |
| 作者单位： | 1. 郑州工商学院 公共基础部, 郑州 451400;2. 贵州工程应用技术学院 理学院, 贵州 毕节 551700 |
| |
| 基金项目： | 国家自然科学基金项目（11661021）；贵州省科学技术厅科学技术联合基金项目（LH[2016]7054）；贵州省教育厅青年科技人才成长项目（KY[2017]297）. |
| |
| 摘 要： | 研究了一类非局部问题,利用山路引理和变分方法,获得该类问题的一个正解和一个负解,充实了非局部问题解的存在性理论,补充了已有的研究内容.同时,利用变分法获得了该问题非平凡解不存在的结果.
|
| 关 键 词： | 非局部问题 线性项 正解 山路引理 变分法 |
| 收稿时间： | 2017/4/24 0:00:00 |
Existence and Nonexistence of Solutions for a Class of Nonlocal Problems with Linear Term |
| |
| JIA Xiu-ling,DUAN Yu.Existence and Nonexistence of Solutions for a Class of Nonlocal Problems with Linear Term[J].Journal of Southwest China Normal University(Natural Science),2018,43(10):22-25. |
| |
| Authors: | JIA Xiu-ling DUAN Yu |
| |
| Institution: | 1. Department of Public Basic Education, Zhengzhou Technology and Business University, Zhengzhou 451400, China;2. College of Science, Guizhou University of Engineering Science, Bijie, Guizhou 551700, China |
| |
| Abstract: | A class of nonlocal problems is considered. By the Mountain Pass Lemma and the variational method, a positive solution and a negative for this problem are obtained, which enrich the theories of solutions for nonlocal problems. Moreover, the nonexistence result is obtained by the variational method. |
| |
| Keywords: | nonlocal problem linear term positive solutions Mountain Pass Lemma variational method |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《西南师范大学学报(自然科学版)》下载免费的PDF全文 |
