| 带有临界指数的椭圆方程多重正解的存在性 |
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| 引用本文： | 林美琳. 带有临界指数的椭圆方程多重正解的存在性[J]. 数学的实践与认识, 2020, 0(7): 204-208 |
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| 作者姓名： | 林美琳 |
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| 作者单位： | 莆田学院数学与金融学院 |
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| 基金项目： | 国家自然科学基金(11971253);福建省中青年教师教育科研项目(JAT190582);莆田学院科研项目(2018019)。 |
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| 摘 要： | 采用变分方法考虑了一类带有临界指数和有限个奇点的椭圆方程正解的存在性问题,利用临界点理论可以得到V(x)的每一个奇点都可以产生一个正解.
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| 关 键 词： | 变分方法 正解 临界指数 |
Multiple Positive Solutions for Elliptic Problems with Critical Growth |
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| LIN Mei-lin. Multiple Positive Solutions for Elliptic Problems with Critical Growth[J]. Mathematics in Practice and Theory, 2020, 0(7): 204-208 |
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| Authors: | LIN Mei-lin |
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| Affiliation: | (School of Mathematics and Finance,Putian University,Putian 351100,China) |
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| Abstract: | This paper considers the existence of positive solutions for a class of elliptic equation with critical growth and finitely many singular points by the variational methods.Using the theory of critical point,we can get one positive solution from one singular point of V(x). |
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| Keywords: | variational methods positive solutions critical term |
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