| p-Laplacian方程的渐近线性Dirichlet问题 |
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| 引用本文： | 何万生,裴瑞昌. p-Laplacian方程的渐近线性Dirichlet问题[J]. 河北师范大学学报(自然科学版), 2006, 30(1): 21-24 |
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| 作者姓名： | 何万生 裴瑞昌 |
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| 作者单位： | 天水师范学院数学系,甘肃,天水,741001;天水师范学院数学系,甘肃,天水,741001 |
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| 摘 要： | 在没有Rabinowitz的(AR)条件下,用山路引理及极小作用原理获得了一类渐近线性p-LaplacianDirichlet问题正解的存在性结果.
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| 关 键 词： | 正解 渐近线性 Dirichlet问题 变分法 |
| 文章编号： | 1000-5854(2006)01-0021-04 |
| 收稿时间： | 2004-09-28 |
| 修稿时间： | 2005-04-15 |
Existence of Positive Solutions for Asymptotically Linear p-Laplacian Dirichlet Problem |
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| HE Wan-sheng,PEI Rui-chang. Existence of Positive Solutions for Asymptotically Linear p-Laplacian Dirichlet Problem[J]. Journal of Hebei Normal University, 2006, 30(1): 21-24 |
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| Authors: | HE Wan-sheng PEI Rui-chang |
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| Affiliation: | Department of Mathematics,Tianshui Normal University,Gansu Tianshui 741001,China |
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| Abstract: | By using mountain pass theorem and the least action,in the condition of without assuming Rabinowitz(AR),the existencc of positive solution is obtained for a class of asymptotically linear p-Laplacian Dirichlet problem. |
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| Keywords: | positive solution asymptotically linear Dirichlet problem variational method |
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