ON A FAMILY OF INHOMOGENEOUS TORSIONAL CREEP PROBLEMS

被引：14
|
作者：
Bocea, Marian [1 ]
Mihailescu, Mihai [2 ,3 ]
机构：
[1] Loyola Univ Chicago, Dept Math & Stat, 1032 W Sheridan Rd, Chicago, IL 60660 USA
[2] Univ Craiova, Dept Math, Craiova 200585, Romania
[3] Romanian Acad, Simion Stoilow Inst Math, Bucharest 010702, Romania
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 10期
基金：
美国国家科学基金会;
关键词：
Inhomogeneous equations; Orlicz-Sobolev spaces; torsional creep; viscosity solutions; ELLIPTIC-EQUATIONS; EIGENVALUE; SPACES;
D O I：
10.1090/proc/13583
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The asymptotic behavior of solutions to a family of Dirichlet boundary value problems involving inhomogeneous PDEs in divergence form is studied in an Orlicz-Sobolev setting. Solutions are shown to converge uniformly to the distance function to the boundary of the domain. This implies that a well-known result in the analysis of problems modeling torsional creep continues to hold under much more general constitutive assumptions on the stress.
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页码：4397 / 4409
页数：13
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