| 关于含有p拉普拉斯算子方程解的存在性的注 |
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| 引用本文： | 魏利.关于含有p拉普拉斯算子方程解的存在性的注[J].应用泛函分析学报,2007,9(3):220-226. |
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| 作者姓名： | 魏利 |
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| 作者单位： | 河北经贸大学,数学与统计学学院,河北,石家庄,050061 |
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| 摘 要： | 利用Calvert和Gupta关于非线性增生映射值域之和的扰动定理,得到了一类含有p拉普拉斯算子Δp的非线性Neumann边值问题在Lp(Ω)空间中解的存在性的结论,其中2N/(N 1)
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| 关 键 词： | 极大单调算子 增生映射 hemi连续映射 p拉普拉斯算子 |
| 文章编号： | 1009-1327（2007）03-0220-07 |
| 修稿时间： | 2006-09-05 |
Remark on the Existence of Solution for Equation with p-Laplacian Operator |
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| WEI Li.Remark on the Existence of Solution for Equation with p-Laplacian Operator[J].Acta Analysis Functionalis Applicata,2007,9(3):220-226. |
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| Authors: | WEI Li |
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| Institution: | School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China |
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| Abstract: | By using the perturbation theories on sums of ranges of nonlinear accretive mappings of Calvert and Gupta, the result on the existence of a solution u ∈ Lp(Ω) of nonlinear Neumann boundary value problems involving the p-Laplacian operator△p, where 2N/N+1 ＜ p ＜+ ∞ and N ≥1, is obtained. The equation discussed in this paper and the methods here are improvement and complement to our previous work. |
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| Keywords: | maximal monotone operator accretive mapping hemi-continuous mapping p-Laplacian operator |
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