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math.AP2023
Asymptotic analysis a perturbed Robin problem in a planar domain
Paolo Musolino, Martin Dutko, Gennady Mishuris
We consider a perforated domain of with a small hole of size and we study the behavior of the solution of a mixed Neumann-Robin problem in as the s…
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…