Existence of solutions for singular quasilinear elliptic problems with dependence of the gradient.

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorGonçalves, José Valdo Abreu-
Autor(es): dc.creatorMarcial, Marcos Roberto-
Autor(es): dc.creatorMiyagaki, Olimpio Hiroshi-
Autor(es): dc.creatorRodrigues, Bruno Mendes-
Data de aceite: dc.date.accessioned2026-08-11T11:21:57Z-
Data de disponibilização: dc.date.available2026-08-11T11:21:57Z-
Data de envio: dc.date.issued2025-08-22-
Data de envio: dc.date.issued2024-
Fonte completa do material: dc.identifierhttps://www.repositorio.ufop.br/handle/123456789/20866-
Fonte completa do material: dc.identifierhttps://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11410-
Fonte completa do material: dc.identifierhttps://doi.org/10.14232/ejqtde.2025.1.21-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1187368-
Descrição: dc.descriptionIn this paper we establish existence of solutions to the following boundary value problem involving a p-gradient term −∆pu + g(u)|∇u| p = λu σ + Ψ(x), u > 0 in Ω, u = 0 on ∂Ω, where ∆p := div(|∇u| p−2∇u) is p-Laplacian operator, Ω ⊂ RN (N ≥ 3) is a bounded domain with smooth boundary, 1 < p < N, 0 < σ < p ∗ − 1 with p ∗ := pN/ (N − p), Ψ is a measurable function and g(s) ≥ 0 is a continuous function on the interval (0, +∞) which may have a singularity at the origin, i.e. g(s) → +∞ as s → 0. Using the topological degree theory, under certain assumptions on Ψ, we prove the existence of a continuum of positive solutions.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectP-gradient term-
Palavras-chave: dc.subjectSingular equations-
Palavras-chave: dc.subjectElliptic equations-
Título: dc.titleExistence of solutions for singular quasilinear elliptic problems with dependence of the gradient.-
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