Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form

Rendón, Fiorella; Sirakov, Boyan; Rodrigues, Mayra Soares da Costa

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Rendón, Fiorella	-
dc.contributor.author	Sirakov, Boyan	-
dc.contributor.author	Rodrigues, Mayra Soares da Costa	-
dc.date.accessioned	2024-05-20T14:01:52Z	-
dc.date.available	2024-05-20T14:01:52Z	-
dc.date.issued	2023	-
dc.identifier.citation	Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form. Nonlinear Analysis, [S. l.], v. 235, 113331, out. 2023. DOI: https://doi.org/10.1016/j.na.2023.113331.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/48105	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier Ltd.	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equações elípticas	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0362546X23001232?via%3Dihub	pt_BR
dc.description.abstract1	We obtain a global extension of the classical weak Harnack inequality which extends and quantifies the Hopf–Oleinik boundary-point lemma, for uniformly elliptic equations in divergence form. Among the consequences is a boundary gradient estimate, due to Krylov and well-studied for non-divergence form equations, but completely novel in the divergence framework. Another consequence is a new more general version of the Hopf–Oleinik lemma.	pt_BR
dc.contributor.affiliation	Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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