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非齐次边值问题解的存在性
引用本文:董士杰.非齐次边值问题解的存在性[J].军械工程学院学报,2012(6):68-72.
作者姓名:董士杰
作者单位:军械工程学院基础部,河北石家庄050003
基金项目:国家自然科学基金项目(11071053)
摘    要:研究非齐次边界条件下,含有p—Laplacian算子的微分方程解的存在性,应用上下解方法,得到边值问题可解性的充分条件.

关 键 词:非齐次边值问题  p-Laplacian算子  上下解方法

The Existence of Solutions to Nonhomogeneous Boundary Value Problems
DONG Shi-jie.The Existence of Solutions to Nonhomogeneous Boundary Value Problems[J].Journal of Ordnance Engineering College,2012(6):68-72.
Authors:DONG Shi-jie
Institution:DONG Shi-jie (Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China)
Abstract:This paper is concerned with the existence of solutions to a nonhomogeneous boundary value problem with p-Laplacian operator. By using an upper and lower solutions method, we pro- vide sufficient conditions for the existence of solutions to boundary value problem(BVP).
Keywords:nonhomogeneous boundary value problem~p-Laplacian operator  upper and lower solutions method
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