The obstacle problem for the infinity fractional laplacian

被引：2

作者：

Moreno Mérida L. ^{[1
]}

Vidal R.E. ^{[2
]}

机构：

[1] Universidad de Granada, Granada

[2] FaMAF, Universidad Nacional de Cordoba, (5000), Cordoba

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2018年 / 67卷 / 1期

关键词：

Infinity fractional Laplace operator; Obstacle problem; Viscosity solutions;

D O I：

10.1007/s12215-016-0286-2

中图分类号：

学科分类号：

摘要：

Given g an α-Hölder continuous function defined on the boundary of a bounded domain Ω and given ψ a continuous obstacle defined in Ω ¯ , in this article, we find u an α-Hölder extension of g in Ω with u≥ ψ. This function u minimizes the α-Hölder semi-norm of all possible extensions with these properties and it is a viscosity solution of the associated obstacle problem for the infinity fractional Laplace operator. © 2016, Springer-Verlag Italia.

引用

页码：7 / 15

页数：8

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