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The Geometry of m-Hyperconvex Domains

We study the geometry of m-regular domains within the Caffarelli–Nirenberg–Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every m-hyperconvex domain admits an exhaustion function that is negative, smooth, strictly m-...

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Detalles Bibliográficos
Autores principales: Åhag, Per, Czyż, Rafał, Hed, Lisa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294266/
https://www.ncbi.nlm.nih.gov/pubmed/30595641
http://dx.doi.org/10.1007/s12220-017-9957-2