Title:	Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers
Authors:	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
Issue Date:	28-Sep-2021
Publisher:	Cambridge University Press
Citation:	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
Appears in Collections:	Artigos publicados em periódicos e afins

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