| 一类含临界指数和凹项的非局部问题多重正解的存在性 |
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| 引用本文： | 梁金平 索洪敏 雷春雨. 一类含临界指数和凹项的非局部问题多重正解的存在性[J]. 应用数学, 2019, 32(1): 39-44 |
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| 作者姓名： | 梁金平 索洪敏 雷春雨 |
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| 作者单位： | 贵州民族大学数据科学与信息工程学院 |
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| 基金项目： | 国家自然科学基金(11661021;11861021);贵州省教育厅青年成长项目(KY[2016]163);KY[2016]029);贵州民族大学科研基金资助项目(2017ZD018) |
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| 摘 要： | 本文研究一类含临界指数和凹项的非局部问题.利用山路引理及Ekeland变分原理等变分方法,获得了该类型问题至少存在两个正解.
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| 关 键 词： | 非局部问题 临界指数 凹项 多重正解 |
| 收稿时间： | 2018-02-04 |
Existence of Multiple Positive Solutions for a Class of Nonlocal Problem with Critical Growth and Concave Terms |
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| LIANG Jinping,SUO Hongmin,LEI Chunyu. Existence of Multiple Positive Solutions for a Class of Nonlocal Problem with Critical Growth and Concave Terms[J]. Mathematica Applicata, 2019, 32(1): 39-44 |
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| Authors: | LIANG Jinping SUO Hongmin LEI Chunyu |
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| Affiliation: | (School of Data Science and Information Engineering,Guizhou Minzu University,Guiyang 550025,China) |
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| Abstract: | In this paper, we study a class of nonlocal problems with critical exponents and concave terms. By using variational methods such as Mountain Pass Lemma and Ekeland variational principle,we obtain at least two positive solutions for this type of problems. |
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| Keywords: | Nonlocal problem Critical exponent Concave term Multiple positive solution |
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