Generalized solution of the double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces

被引：0
作者：
Futamura, Toshihide [1 ]
Shimomura, Tetsu [2 ]
机构：
[1] Daido Univ, Dept Math, Nagoya 4578530, Japan
[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Higashihiroshima 7398524, Japan
来源：
HIROSHIMA MATHEMATICAL JOURNAL | 2023年 / 53卷 / 03期
基金：
日本学术振兴会;
关键词：
metric measure space; Newtonian space; Musielak-Orlicz space; Poincare ' inequality; Dirichlet energy integral; double obstacle problem; EXPONENT SOBOLEV SPACES; ZERO BOUNDARY-VALUES; VARIABLE EXPONENT; NEWTONIAN SPACES; POINTWISE REGULARITY; GRADIENTS; STABILITY;
D O I：
10.32917/h2022016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we are concerned with the existence and uniqueness of a generalized solution to a double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces supporting a Phi-Poincare inequality, as an extension of Farnana (Nonlinear Anal. 73 (2010), pp. 2819-2830).
引用
收藏
页码：359 / 372
页数：14
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