English

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

Analysis of PDEs 2018-10-05 v1

Abstract

A mixed Dirichlet-Neumann problem is regularized with a family of singularly perturbed Neumann-Robin boundary problems, parametrized by ε>0\varepsilon > 0. Using an asymptotic development by Gamma-convergence, the asymptotic behavior of the solutions to the perturbed problems is studied as ε0+\varepsilon \to 0^+, recovering classical results in the literature.

Keywords

Cite

@article{arxiv.1810.02306,
  title  = {Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems},
  author = {Giovanni Gravina and Giovanni Leoni},
  journal= {arXiv preprint arXiv:1810.02306},
  year   = {2018}
}

Comments

34 pages

R2 v1 2026-06-23T04:28:42.343Z