On a family of inhomogeneous torsional creep problems
Marian F. Bocea, Mihai Mihăilescu · Proceedings of the American Mathematical Society · 2016
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.