Title:	Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form
Authors:	Rendón, Fiorella Sirakov, Boyan Rodrigues, Mayra Soares da Costa
metadata.dc.contributor.affiliation:	Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática Pontifícia Universidade Católica do Rio de Janeiro, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Equações elípticas
Issue Date:	2023
Publisher:	Elsevier Ltd.
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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0362546X23001232?via%3Dihub
Appears in Collections:	Artigos publicados em periódicos e afins

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