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| p-Laplace非线性两点边值问题多个正解的存在性 | |
| 引用本文： | 李志艳,严树林,葛渭高.p-Laplace非线性两点边值问题多个正解的存在性[J].数学研究及应用,2006,26(3):480-488. |
| 作者姓名： | 李志艳 严树林 葛渭高 |
| 作者单位： | 1. 河海大学常州校区数理部,江苏,常州,213022 2. 常州工程职业技术学院,江苏,常州,213004 3. 北京理工大学应用数学系,北京,100081 |
| 基金项目： | the National Natural Science Foundation of China (10371006) |
| 摘 要： | 本文利用一种新的三个泛函不动点定理得到了p-Laplacian方程在具有非线性边值条件时至少存在三个正解的充分条件,并且举了一个简单例子来说明得到的结论． |
| 关 键 词： | 边值问题 p-Laplacian算子 正解 三个泛函不动点定理 |
| 文章编号： | 1000-341X(2006)03-0480-09 |
| 收稿时间： | 04 30 2004 12:00AM |
| 修稿时间： | 2004年4月30日 |
Multiple Positive Solutions to a Nonlinear Two-point Boundary Value Problem with p-Laplacian |
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| LI Zhi-yan,YAN Shu-lin and GE Wei-gao.Multiple Positive Solutions to a Nonlinear Two-point Boundary Value Problem with p-Laplacian[J].Journal of Mathematical Research with Applications,2006,26(3):480-488. | |
| Authors: | LI Zhi-yan YAN Shu-lin and GE Wei-gao |
| Institution: | Dept. of Math. \& Phys., Hohai University, Changzhou 213022, China;Changzhou Engineering Vocational \& Technical College, Jiangsu 213004, China;Dept. of Appl. Math., Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | By a simple application of a new three functionals fixed point theorem, sufficient conditions are obtained to guarantee the existence of at least three positive solutions for $p$-Laplacian equation: $(\phi_{p}(u'))'+a(t)f(t,u(t))=0 $ subject to nonlinear boundary value conditions. An example is presented to illustrate the theory. |
| Keywords: | boundary value problem p-Laplacian operator positive solution the three functionals fixed point theorem |
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