Abstract

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

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