Mathematical Sciences: Semilinear Partial Differential Equations and Quasilinear Variational Inequalities

数学科学：半线性偏微分方程和拟线性变分不等式

• 批准号: 9101828
• 负责人: Yi Li
• 金额: $ 1.89万
• 依托单位: University of Rochester
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-15 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101828&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Semilinear; Partial; Differential

This project will consider existence, regularity, local and global behavior, and symmetry of solutions to nonlinear elliptic equations and variational inequalities. Particular emphasis will be placed on semilinear elliptic equations in the open space, scalar curvature equations, and variational inequalities. These problems come from questions in pure and applied mathematics. The results are of interests to fields ranging from diffential geometry to lubrication.

该项目将考虑存在，规律性，本地和全球行为，以及对非线性椭圆方程和变分不平等的解决方案的对称性。 特别重点将放在开放空间，标态曲率方程和变化不平等中的半线性椭圆方程上。 这些问题来自纯粹和应用数学中的问题。 结果是从扩散几何形状到润滑的田地感兴趣的。