Lipschitz Continuity for the Solutions of Triharmonic Equation

Yu Zhou; Bing Xiao

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Lipschitz Continuity for the Solutions of Triharmonic Equation

机译：三臂方程解的Lipschitz连续性

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摘要

Let D be the unit disk in the complex plane C and denote, partial differential omega for the class of all sense-preserving homeomorphism of T onto the boundary of a C2 convex Jordan domain omega. In this paper, five equivalent conditions for the solutions of triharmonic equations over bar with Dirichlet boundary value conditions omega zz over bar zz over bar T=gamma 2 is an element of C, partial differential omega to be Lipschitz continuous are presented.

机译：让D是复杂平面C中的单位盘，并表示局部差分ω，用于T到C2凸起约旦域Omega的边界的所有感测保存同族的类别。在本文中，在Qually边界值条件下的Triharconic方程溶液的五等效条件Omega Zz上方r = Gamma 2是C的元素，呈现偏差ω的元素。

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《Mathematical Problems in Engineering》 |2019年第19期|3261254.1-3261254.11|共11页
作者
Yu Zhou; Bing Xiao;
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Jishou Univ Normal Coll Dept Primary Educ Jishou 416000 Hunan Peoples R China|Guangzhou Univ Sch Math & Informat Sci Guangzhou 510006 Guangdong Peoples R China;

Xinjiang Normal Univ Sch Math Sci Urumqi 830054 Peoples R China;

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1. Lipschitz Continuity for the Solutions of Triharmonic Equation [J] . Zhou Yu, Xiao Bing Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

机译：三臂方程解的Lipschitz连续性
2. Local Lipschitz continuity of the inverse of the fractional p-Laplacian, HOlder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains [J] . Warma Mahamadi Nonlinear Analysis: An International Multidisciplinary Journal . 2016,第Null期

机译：分数p-Laplacian，Holder型连续性的逆的局部Lipschitz连续性以及有界区域上相关抛物方程的解的连续依赖性
3. Holder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type [J] . Kusuoka Seiichiro Journal of evolution equations . 2017,第3期

机译：持有者和Lipschitz对非分歧类型的抛物线方程的解决方案的连续性
4. Shape Priors in Variational Image Segmentation: Convexity, Lipschitz Continuity and Globally Optimal Solutions [C] . Daniel Cremers, Frank R. Schmidt, Frank Barthel IEEE Conference on Computer Vision and Pattern Recognition . 2008

机译：变形图像分割中的形状前沿：凸，Lipschitz连续性和全球最佳解决方案
5. L('p) regularity of solutions of the mixed boundary problem for Laplace's equation on a Lipschitz graph domain. [D] . Sykes, Jeffery D. 1999

机译：Lipschitz图域上Laplace方程的混合边界问题的解的L（'p）正则性。
6. Colloquium PaperNonlinear partial differential equations and applications: Non-Lipschitz minimizers of smooth uniformly convex functionals [O] . Vladimír Sverák, Xiaodong Yan 2007

机译：非线性偏微分方程及其应用：光滑一致凸泛函的非Lipschitz极小子
7. Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group [O] . Liu, Qing, Manfredi, Juan, Zhou, Xiaodan 2016

机译：Lipschitz连续性和凸性保持的解 Heisenberg群中的半线性演化方程
8. Lipschitz Continuity of Solutions of Linear Inequalities, Programs and Complementarity Problems [R] . Mangasarian, O. L., Shiau, T. H. 1985

机译：线性不等式，程序和互补问题解的Lipschitz连续性

Lipschitz Continuity for the Solutions of Triharmonic Equation

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