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Titre: Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
Auteur(s): Boccardo, Lucio
Maia, Liliane de Almeida
Pellacci, Benedetta
metadata.dc.contributor.email: mailto:boccardo@uniroma1.it
mailto:lilimaia@unb.br
mailto:benedetta.pellacci@unicampania.it
metadata.dc.identifier.orcid: https://orcid.org/0000-0002-6163-1899
https://orcid.org/0000-0002-1254-1811
metadata.dc.contributor.affiliation: Istituto Lombardo and Sapienza Università di Roma
Departamento de Matemática, Universidade de Brasília
Dipartimento di Matematica e Fisica, Università della Campania ‘Luigi Vanvitelli’
Assunto:: Soluções positivas
Equações semilineares
Date de publication: 28-sep-2021
Editeur: Cambridge University Press
Référence bibliographique: BOCCARDO, Lucio; MAIA, Liliane; PELLACCI, Benedetta. Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers. Proceedings of the Royal Society of Edinburgh, v. 152, n. 5. 2021. DOI https://doi.org/10.1017/prm.2021.54. Disponível em: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD. Acesso em: 09 out. 2023.
Abstract: We prove existence results of two solutions of the problem L(u) + um−1 = λup−1 in Ω, u > 0 in Ω, u = 0 on ∂Ω, where L(v) = −div(M(x)∇v) is a linear operator, p ∈ (2, 2∗] and λ and m sufficiently large. Then their asymptotical limit as m → +∞ is investigated showing different behaviours.
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Matemática (IE MAT)
DOI: https://doi.org/10.1017/prm.2021.54
metadata.dc.relation.publisherversion: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/asymptotic-behaviour-of-positive-solutions-of-semilinear-elliptic-problems-with-increasing-powers/CEBF477D0A8AEE329C646549420DFEAD
Agência financiadora: UnB - Edital DPI/DPG n. 02/2022
Collection(s) :Artigos publicados em periódicos e afins

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