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math.AP2022
A degenerating Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then we investigate the asymptotic beha…
math.AP2022
Integral equation method for a Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the soluti…
math.AP2022★ 2 cited
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem
Paolo Musolino, Gennady Mishuris
We study the asymptotic behavior of the solutions of a boundary value problem for the Laplace equation in a perforated domain in , , with a (nonlinear) Robin…