FitzHugh-Nagumo system with zero mass and critical growth

Figueiredo, Giovany de Jesus Malcher; Montenegro, Marcelo

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Montenegro, Marcelo	-
dc.date.accessioned	2022-10-27T20:41:56Z	-
dc.date.available	2022-10-27T20:41:56Z	-
dc.date.issued	2021	pt_BR
dc.identifier.citation	FIGUEIREDO, Giovany; MONTENEGRO, Marcelo. FitzHugh-Nagumo system with zero mass and critical growth. Israel Journal of Mathematics, v. 245, p. 711–733, 2021. DOI 10.1007/s11856-021-2224-z. Disponível em: https://link.springer.com/article/10.1007/s11856-021-2224-z. Acesso em: 27 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45082	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	FitzHugh-Nagumo system with zero mass and critical growth	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Massa zero	pt_BR
dc.subject.keyword	Modelo FitzHugh–Nagumo	pt_BR
dc.subject.keyword	Modelos de disparos neuronais	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11856-021-2224-z	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11856-021-2224-z	pt_BR
dc.description.abstract1	We show existence of a nontrivial nonnegative solution for the system −Δu = K(x)f(u) + γ\|u\| 2∗−2u − v, −Δv = u − v in RN . Since the function f can verify f (0) = 0, this type of system is known in the literature as zero mass. We analyze three types of problems with K being periodic, asymptotically periodic and with a vanishing property at infinity. In the first place we consider N ≥ 3, and we prove existence results considering the function f with polynomial growth which can be subcritical, corresponding to γ = 0, or critical, in case γ = 1. Finally, we consider specifically N = 2 with γ = 0 and f with possible critical exponential behavior.	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:msm@ime.unicamp.br	pt_BR
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