Journal
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 145, Issue 10, Pages 4397-4409Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/proc/13583
Keywords
Inhomogeneous equations; Orlicz-Sobolev spaces; torsional creep; viscosity solutions
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Funding
- U.S. National Science Foundation [DMS-1515871]
- CNCS-UEFISCDI Grant [PN-III-P4-ID-PCE-2016-0035]
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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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