Title:	Existence of positive solutions of a critical system in RN
Authors:	Figueiredo, Giovany de Jesus Malcher Silva, Leticia dos Santos
metadata.dc.contributor.email:	mailto:giovany@unb.br mailto:leticiadstos@gmail.com
Assunto::	Teoria do grau de Brouwer Soluções positivas Sistemas críticos elípticos
Issue Date:	2021
Publisher:	Palestine Polytechnic University - PPU
Citation:	FIGUEIREDO, Giovany M.; SILVA, Leticia S. Existence of positive solutions of a critical system in RN. Palestine Journal of Mathematics, v. 10, n. 2, p. 502–532, 2021. Disponível em: https://pjm.ppu.edu/sites/default/files/papers/PJM_June_2021_502_to_532.pdf. Acesso em: 19 out. 2022.
Abstract:	In this paper we show existence of positive solution to the system −∆u + a(x)u = 1 2 ∗ Ku(u, v) in R N , −∆v + b(x)v = 1 2 ∗ Kv(u, v) in R N , u, v > 0 in RN , u, v ∈ D1,2 (RN ), N ≥ 3. We also prove a global compactness result for the associated energy functional similar to that due to Struwe in [14]. The basic tool employed here is some information on a limit system of (S) with a = b = 0, the concentration compactness due to P. L. Lions [12] and Brouwer degree theory.
metadata.dc.relation.publisherversion:	https://pjm.ppu.edu/sites/default/files/papers/PJM_June_2021_502_to_532.pdf
Appears in Collections:	Artigos publicados em periódicos e afins

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