Calculus of Variations and Geometric Measure Theory
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G. Gravina - G. Leoni

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

created by leoni on 05 Oct 2018



Inserted: 5 oct 2018

Year: 2018

ArXiv: 1810.02306 PDF


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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