The infinity Laplacian in infinite dimensions

被引：0
|
作者：
Thierry Gaspari
机构：
[1] Université Bordeaux 1,Mathématiques Pures de Bordeaux (MPB), UMR 5467 CNRS
来源：
Calculus of Variations and Partial Differential Equations | 2004年 / 21卷
关键词：
Differential Equation; Banach Space; Partial Differential Equation; Viscosity Solution; Lipschitz Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study three properties of real-valued functions defined on a Banach space: The absolutely minimizing Lipschitz functions, the viscosity solutions of the infinity Laplacian partial differential equation, and the functions which satisfy comparison with cones. We prove that these notions are equivalent, and we show the existence of such functions. These results are new in the infinite-dimensional case.
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页码：243 / 257
页数：14
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