Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient

Figueiredo, Giovany de Jesus Malcher; Madeira, Gustavo F.

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dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Madeira, Gustavo F.	-
dc.date.accessioned	2022-10-19T23:29:36Z	-
dc.date.available	2022-10-19T23:29:36Z	-
dc.date.issued	2020-11-23	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; MADEIRA, Gustavo F. Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient. Journal of Differential Equations, v. 274, p. 857-875, fev. 2021, DOI 10.1016/j.jde.2020.10.033. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039620305921. Acesso em: 19 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45051	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Science Direct	pt_BR
dc.relation.isbasedon	https://www.sciencedirect.com/science/article/pii/S0022039620305921	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Equação elíptica	pt_BR
dc.subject.keyword	Operador não homogêneo	pt_BR
dc.subject.keyword	Solução máxima e mínima	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jde.2020.10.033	pt_BR
dc.description.abstract1	We are concerned with positive maximal and minimal solutions for non-homogeneous elliptic equations of the form − div(a(\|∇u\|p)\|∇u\|p−2∇u) = f (x, u, ∇u) in , supplied with Dirichlet boundary conditions. First we localize maximal and minimal solutions between not necessarily bounded sub-super solutions. Then using a uniform gradient estimate, which seems of independent interest, we show the existence of positive maximal and minimal solutions in some situations. More precisely, we obtain positive maximal and minimal solution to some classes of non-homogeneous equations depending on the gradient which may be perturbed by unbounded, singular or logistic sources.	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:gfmadeira@ufscar.br	pt_BR
Collection(s) :	Artigos publicados em periódicos e afins