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.

引用

页码：4397 / 4409

页数：13

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