FitzHugh-Nagumo system with zero mass and critical growth

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Autor(es): dc.contributormailto:giovany@unb.br-
Autor(es): dc.contributormailto:msm@ime.unicamp.br-
Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorMontenegro, Marcelo-
Data de aceite: dc.date.accessioned2024-07-22T11:54:08Z-
Data de disponibilização: dc.date.available2024-07-22T11:54:08Z-
Data de envio: dc.date.issued2022-10-26-
Data de envio: dc.date.issued2022-10-26-
Data de envio: dc.date.issued2020-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/45082-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s11856-021-2224-z-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/791541-
Descrição: dc.descriptionWe 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.-
Publicador: dc.publisherSpringer Nature-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s11856-021-2224-z-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectMassa zero-
Palavras-chave: dc.subjectModelo FitzHugh–Nagumo-
Palavras-chave: dc.subjectModelos de disparos neuronais-
Título: dc.titleFitzHugh-Nagumo system with zero mass and critical growth-
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