| p-Laplacian方程无穷多解的存在性 |
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| 引用本文： | 沈尧天,李周欣.p-Laplacian方程无穷多解的存在性[J].华南理工大学学报(自然科学版),2006,34(7):120-123. |
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| 作者姓名： | 沈尧天 李周欣 |
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| 作者单位： | 华南理工大学,数学科学学院,广东,广州,510640 |
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| 摘 要： | 考虑了一类p—Laplacian方程的Dirichlet问题的解．在比（AR）条件更弱的条件下，先证明方程相应的泛函满足（PS）c条件，再应用山路引理得到了该问题无穷多解的存在性．
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| 关 键 词： | p-Laplacian方程 临界点 (PS)c条件 山路引理 |
| 文章编号： | 1000-565X（2006）07-0120-04 |
| 收稿时间： | 2005-04-28 |
| 修稿时间： | 2005年4月28日 |
Existence of Infinitely Many Solutions to p-Laplacian Equation |
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| Shen Yao-tian,Li Zhou-xin.Existence of Infinitely Many Solutions to p-Laplacian Equation[J].Journal of South China University of Technology(Natural Science Edition),2006,34(7):120-123. |
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| Authors: | Shen Yao-tian Li Zhou-xin |
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| Institution: | College of Mathematical Sciences, South China Univ. of Tech. , Guangzhou 510640, Guangdong, China |
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| Abstract: | This paper considers the solutions to the Dirichlet problem in a class of p-Laplacian equation.In the condition weaker than the(AR) condition,the corresponding functional of the equation is first proved satisfying the(PS)_c condition.Then,by applying the Mountain Pass Theorem,the existence of infinitely many solutions of the problem is confirmed. |
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| Keywords: | p-Laplacian equation critical point (PS)_c condition Mountain Pass Theorem |
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