http://repositorio.unb.br/handle/10482/51804| Title: | Point-wise behavior of the explosive positive solutions to a degenerate elliptic BVP with an indefinite weight function |
| Authors: | López-Gómez, Julián Ramos, Vinicius Kobayashi Santos, Carlos Alberto Pereira dos Suárez, Antonio |
| metadata.dc.contributor.email: | mailto:jlopezgo@ucm.es mailto:vinicius.koba.ramos@gmail.com mailto:csantos@unb.br mailto:suarez@us.es |
| metadata.dc.identifier.orcid: | https://orcid.org/0000-0002-3067-4220 https://orcid.org/0000-0002-4379-4926 https://orcid.org/0000-0001-6157-5201 |
| metadata.dc.contributor.affiliation: | Universidad Complutense de Madrid Universidade de Brasília Universidade de Brasília Universidad de Sevilla |
| Assunto:: | Soluções positivas Estrutura global Limites (Matemática) |
| Issue Date: | 2024 |
| Publisher: | Elsevier |
| Citation: | LÓPEZ-GÓMEZ, J. et. al. Point-wise behavior of the explosive positive solutions to a degenerate elliptic BVP with an indefinite weight function. Journal of Differential Equations, v. 403, p. 67-86. 15 set. 2024. DOI 10.1016/j.jde.2024.05.006. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039624002894?via%3Dihub. Acesso em: 10 mar. 2025. |
| Abstract: | In this paper we ascertain the singular point-wise behavior of the positive solutions of a semilinear elliptic boundary value problem (1) at the critical value of the parameter, λ, where it begins its metasolution regime. As the weight function m(x) changes sign in ", our result is a substantial extension of a previous, very recent, result of Li et al. [8], where it was imposed the (very strong) condition that m ≥ 0 on a neighborhood of b−1({0}). In this paper, we are simply assuming that m(x0) > 0 for some x0 ∈ b−1({0}). |
| metadata.dc.description.unidade: | Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT) |
| Licença:: | © 2024 Elsevier Inc. All rights reserved. |
| DOI: | https://doi.org/10.1016/j.jde.2024.05.006 |
| metadata.dc.relation.publisherversion: | https://www.sciencedirect.com/science/article/pii/S0022039624002894?via%3Dihub |
| Appears in Collections: | Artigos publicados em periódicos e afins |
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