一类带线性项非局部问题解的存在性与非存在性

贾秀玲<sup>1</sup>,段誉<sup>2</sup>

doi:10.13718/j.cnki.xsxb.2018.10.006

西南师范大学学报(自然科学版)

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一类带线性项非局部问题解的存在性与非存在性

贾秀玲1,段誉2. 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. doi: 10.13718/j.cnki.xsxb.2018.10.006

引用本文:

贾秀玲¹,段誉². 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. doi: 10.13718/j.cnki.xsxb.2018.10.006

JIA Xiu-ling1, DUAN Yu2. Existence and Nonexistence of Solutions for a Class of Nonlocal Problems with Linear Term[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(10): 22-25. doi: 10.13718/j.cnki.xsxb.2018.10.006

Citation:

JIA Xiu-ling¹, DUAN Yu². Existence and Nonexistence of Solutions for a Class of Nonlocal Problems with Linear Term[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(10): 22-25. doi: 10.13718/j.cnki.xsxb.2018.10.006

一类带线性项非局部问题解的存在性与非存在性

贾秀玲¹,段誉²

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

Existence and Nonexistence of Solutions for a Class of Nonlocal Problems with Linear Term

JIA Xiu-ling¹, DUAN Yu²

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

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.
- 非局部问题 /
- 线性项 /
- 正解 /
- 山路引理 /
- 变分法
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.
- nonlocal problem /
- linear term /
- positive solutions /
- Mountain Pass Lemma /
- variational method .

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