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Characterization of Minimizers of Aviles–Giga Functionals in Special Domains

We consider the singularly perturbed problem [Formula: see text] on bounded domains [Formula: see text] . Under appropriate boundary conditions, we prove that if [Formula: see text] is an ellipse, then the minimizers of [Formula: see text] converge to the viscosity solution of the eikonal equation [...

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Detalles Bibliográficos
Autor principal: Marconi, Elio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8547222/
https://www.ncbi.nlm.nih.gov/pubmed/34720118
http://dx.doi.org/10.1007/s00205-021-01704-w