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arXiv · 1810.02306

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

Giovanni Gravina·Giovanni Leoni
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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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Giovanni Gravina, Giovanni Leoni. 2018-10-04. Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems. https://arxiv.org/abs/1810.02306

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