Titre:	Existence of positive solutions for a class of semipositone problems with Kirchhoff operator
Auteur(s):	Figueiredo, Giovany de Jesus Malcher Massa, Eugenio Santos, Jefferson A.
metadata.dc.contributor.email:	mailto:giovany@unb.br mailto:eug.massa@gmail.com mailto:jefferson@mat.ufcg.edu.br
Assunto::	Problemas elípticos não locais Métodos variacionais Soluções positivas
Date de publication:	8-aoû-2021
Editeur:	University of Jyväskylä
Référence bibliographique:	FIGUEIREDO, Giovany M.; MASSA, Eugenio; SANTOS, Jefferson A. Existence of positive solutions for a class of semipositone problems with Kirchhoff operator. Annales Fennici Mathematici, Helsinki, v. 46, n. 2, p. 655–666, 2021. DOI 10.5186/aasfm.2021.4640. Disponível em: https://afm.journal.fi/article/view/110567. Acesso em: 27 out. 2022.
Abstract:	In this work we show a result of existence of positive solution for the followingnonlocal problem of Kirchhoff type−M(ˆΩ|∇u|2dx)∆u=f(u)−ainΩ, u= 0on∂Ω,whereΩ⊂RNis a smooth bounded domain,M, fare continuous nonnegative functions anda >0.By using mainly variational methods, we prove the existenceof a solution forasmall enough, undertwo different sets of hypotheses, which generalize the classical superlinear and sublinear problems.
Licença::	Annales Fennici Mathematici - The papers published in Ann. Fenn. Math. are distributed under the terms of Creative Commons Attribution-Noncommercial License (CC BY-NC 4.0). Fonte: https://afm.journal.fi/about. Acesso em: 27 out. 2022.
DOI:	https://doi.org/10.5186/aasfm.2021.4640
Collection(s) :	Artigos publicados em periódicos e afins

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