期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
与广义p-Laplace算子相关的非线性Neumann边值问题解的存在性
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1. 河北经贸大学数学与统计学学院, 河北石家庄 050091;
2. 北京联合大学基础部, 北京 100101 -
DOI:
The Existence of Solution of Nonlinear Neumann Boundary Value Problem Involving the Generalized p-Laplacian Operator
摘要/Abstract
摘要:
首先把p拉普拉斯算子p-Laplace推广为广义p-Laplace,然后利用非线性增生映射值域的扰动理论,研究了与广义p拉普拉斯算子相关的具有Neumann边值的非线性椭圆问题在L2(Ω)空间中解的存在性(其中2≤p<+∞).
Abstract:
The p-Laplacian operator Δp is first generalized to the generalized p-Laplacian operator,and then used by the perturbation results of ranges of nonlinear accretive mappings,the existence of solution of nonlinear Neumann boundary value problem involving the generalized p-Laplacian operator in L2(Ω)space is discussed.
关键词
Key words:
accretive mapping
;
monotone operator
;
demi-continuous mapping
;
strictly convex space