Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems

Abstract

A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by > 0. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as 0+, recovering classical results in the literature.

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