| THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES |
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| 引用本文： | WEI Li ZHOU Haiyun. THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES[J]. 系统科学与复杂性, 2005, 18(4): 511-521 |
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| 作者姓名： | WEI Li ZHOU Haiyun |
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| 作者单位： | [1]School of Mathematics and Statistics, Hebei University o/Economics and Business, Shijiazhuang050061, China. [2]Institute of Applied Mathematics and Mechanics, OrdnanceEngineering College, Shijiazhuang 050003, China. [3]Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Shijiazhuang 050003, China. [4]Institute of Mathematics and Information Science, Hebei Normal University,Shijiazhuang 020016,China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China（No. 10471033）. |
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| 摘 要： | By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, we study the abstract results on the existence of a solution u ∈ L^s （Ω） of nonlinear boundary value problems involving the p-Laplacian operator, where 2≤ s〈＋∞, and 2N/N＋1 〈 p ≤ 2 for N（≥ 1） which denotes the dimension of R^N. To obtain the result, some new techniques are used in this paper. The equation discussed in this paper and our methods here are extension and complement to the corresponding results of L. Wei and Z. He.
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| 关 键 词： | Laplacian算子 L^s空间 最大单调算子 半连续映射 非线性边值问题 |
| 收稿时间： | 2004-04-02 |
| 修稿时间： | 2004-04-02 |
THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES |
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| WEI;Li;ZHOU;Haiyun. THE EXISTENCE OF SOLUTIONS OF NONLINEAR BOUNDARY VALUE PROBLEMS INVOLVING THE p-LAPLACIAN OPERATOR IN L^s-SPACES[J]. Journal of Systems Science and Complexity, 2005, 18(4): 511-521 |
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| Authors: | WEI Li ZHOU Haiyun |
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| Abstract: | |
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| Keywords: | Maximal monotone operator accretive mapping hemi-continuous mapping p-Laplacian operator nonlinear boundary value problem. |
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