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 $\epsilon >0$. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as $\epsilon \to 0^{+}$, recovering classical results in the literature.

34 pages