Boundary regularity of biharmonic maps between Riemannian manifolds

黎曼流形间双调和映射的边界正则性

• 批准号: 283670898
• 负责人: Professor Dr. Christoph Scheven
• 金额: --
• 依托单位: Lehrstuhl für Analysis
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2015
• 资助国家: 德国
• 起止时间: 2014-12-31 至 2018-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/283670898?language=en
• 关键词: Boundary; regularity; biharmonic; maps; between

The topic of the planned project is the regularity of biharmonicmaps up to the boundary, under a Dirichlet boundary condition. The maingoal is the proof of regularity of minimizing biharmonic maps in afull neighbourhood of the boundary. Furthermore, it is planned toinvestigate the regularity properties of stationary biharmonic mapsup to the boundary.

计划项目的主题是Dirichlet边界条件下双调和映射到边界的正则性。本文的主要目的是证明在边界的满邻域内极小化双调和映射的正则性。此外，我们还计划研究上到边界的平稳双调和映射的正则性。

项目成果

A boundary monotonicity inequality for variationally biharmonic maps and applications to regularity theory

变分双调和映射的边界单调性不等式及其在正则理论中的应用

• DOI: 10.1007/s10455-018-9610-8
• 发表时间: 2018
• 期刊: Annals of Global Analysis and Geometry
• 影响因子: 0.7
• 作者: S. Altuntas