紧黎曼流形上的椭圆边界值问题被引量：1

Elliptic Boundary Value Problems on Compact Manifolds

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摘要讨论一类非齐次非线性椭圆边界值问题.利用极大值原理证明了该问题解的梯度估计.作为它的应用得到了解的效率比估计. A class of inhomogeneous nonlinear elliptic boundary value problem is discussed on compact manifolds with a smooth boundary.The maximum principles are used to obtain the gradient estimates for the solution of the problem.As its application,we obtain the efficiency ratio estimate of the solution.

作者黄琴阮其华

机构地区莆田学院数学学院

出处《数学物理学报（A辑）》 CSCD 北大核心 2015年第1期43-49,共7页 Acta Mathematica Scientia

基金福建省自然科学基金(2012J01015) 福建省留学基金资助

关键词梯度估计极大值原理椭圆型方程 Gradient estimate Maximum principle Elliptic equation

分类号 O186.1 [理学—基础数学]

作者简介 E—mail：qinhuang78@163．com； E-mail：ruanqihua@163.com

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参考文献1

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同被引文献7

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引证文献1

1黄琴,阮其华.关于带权拉普拉斯算子的点谱的不存在性问题[J].莆田学院学报,2016,23(5):1-3.

1Feng DU,Jing MAO.Reilly-type inequalities for p-Laplacian on compact Riemannian manifolds[J].Frontiers of Mathematics in China,2015,10(3):583-594. 被引量：1
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6兰家诚,燕敦验.R^n中区域上的加权Hardy定理[J].数学物理学报（A辑）,2006,26(4):534-546. 被引量：1
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紧黎曼流形上的椭圆边界值问题被引量：1

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紧黎曼流形上的椭圆边界值问题 被引量：1

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紧黎曼流形上的椭圆边界值问题被引量：1