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dc.contributor.authorFigueiredo, Giovany de Jesus Malcher-
dc.contributor.authorRazani, Abdolrahman-
dc.date.accessioned2022-10-05T17:51:23Z-
dc.date.available2022-10-05T17:51:23Z-
dc.date.issued2021-12-20-
dc.identifier.citationFIGUEIREDO, Giovany M.; RAZANI, A. The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces. Boundary Value Problems, n. 105, 2021. DOI 10.1186/s13661-021-01580-z. Disponível em: https://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-021-01580-z. Acesso em: 04 out. 2022.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/44999-
dc.language.isoInglêspt_BR
dc.publisherSpringer Naturept_BR
dc.rightsAcesso Abertopt_BR
dc.titleThe sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spacespt_BR
dc.typeArtigopt_BR
dc.subject.keywordEquação elípticapt_BR
dc.subject.keywordEspaços de Lebesguept_BR
dc.rights.licenseBoundary Value Problems - Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. Fonte: https://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-021-01580-z#rightslink. Acesso em: 04 out. 2022.pt_BR
dc.identifier.doihttps://doi.org/10.1186/s13661-021-01580-zpt_BR
dc.description.abstract1In this paper, a nonhomogeneous elliptic equation of the form –A(x,|u|Lr(x)) div(a(|∇u| p(x) )|∇u| p(x)–2∇u) = f(x, u)|∇u| α(x) Lq(x) + g(x, u)|∇u| γ (x) Ls(x) on a bounded domain in RN (N > 1) with C2 boundary, with a Dirichlet boundary condition is considered. Using the sub-supersolution method, the existence of at least one positive weak solution is proved. As an application, the existence of at least one solution of a generalized version of the logistic equation and a sublinear equation are shown.pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0003-1697-1592pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-3092-3530pt_BR
dc.contributor.emailmailto:giovany@unb.brpt_BR
dc.contributor.emailmailto:razani@sci.ikiu.ac.irpt_BR
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