| 含有p拉普拉斯算子方程的解的存在性研究 |
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| 引用本文： | 魏利,周海云.含有p拉普拉斯算子方程的解的存在性研究[J].高校应用数学学报(英文版),2006,21(2):191-202. |
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| 作者姓名： | 魏利 周海云 |
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| 作者单位： | [1]School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061 ,China [2]Institute of Applied Mathematics and Mechanics,Ordnance Engineering College,Shijiazhuang 050003,China |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | By using the perturbation theories on sums of ranges for nonlinear accretive mappings of Calvert and Gupta (1978), the abstract result on the existence of a solution u ∈ Lp (Ω) to nonlinear equations involving p-Laplacian operator △p, where 2N/N 1 ＜ p ＜ ∞ and N (≥ 1 )denotes the dimension of RN,is studied. The equation discussed and the methods shown in the paper are continuation and complement to the corresponding results of Li and Zhen's previous papers. To obtain the result ,some new techniques are used.
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| 关 键 词： | p拉普拉斯算子方程 解 存在性 数学分析 |
| 收稿时间： | 2005-08-28 |
Research on the existence of solution of equation involving p-laplacian operator |
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| Wei Li,Zhou Haiyun.Research on the existence of solution of equation involving p-laplacian operator[J].Applied Mathematics A Journal of Chinese Universities,2006,21(2):191-202. |
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| Authors: | Wei Li Zhou Haiyun |
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| Institution: | 1.School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061 ,China;2.Institute of Applied Mathematics and Mechanics,0rdnance Engineering College,Shijiazhuang 050003,China |
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| Abstract: | By using the perturbation theories on sums of ranges for nonlinear accretive mappings of Calvert and Gupta (1978), the abstract
result on the existence of a solution u∈L
p
(Ω) to nonlinear equations involving p-Laplacian operator Δ
p
, where 2N/N+1<p<+∞ and N(≥1) denotes the dimension of R
N
, is studied. The equation discussed and the methods shown in the paper are continuation and complement to the corresponding
results of Li and Zhen's previous papers. To obtain the result, some new techniques are used.
Supported by the National Natural Science Foundation of China (10471033). |
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| Keywords: | maximal monotone operator accretive mapping hemi-continuous mapping p-Laplacian operator |
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