雅可比矩阵与行列式
凸性
概括性
数学
标量(数学)
应用数学
功能(生物学)
变量(数学)
数学分析
经济
几何学
管理
进化生物学
金融经济学
生物
出处
期刊:Discrete and Continuous Dynamical Systems
[American Institute of Mathematical Sciences]
日期:2013-10-03
卷期号:34 (4): 1663-1681
被引量:54
标识
DOI:10.3934/dcds.2014.34.1663
摘要
We develop the fundamentals of a local regularity theory for prescribed Jacobian equations whichextend the corresponding results for optimal transportation equations. In this theory the cost function is extended to a generating function through dependence on an additional scalar variable.In particular we recover in this generality the local regularity theory for potentials of Ma, Trudinger and Wang, along with the subsequent development of the underlying convexity theory.
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