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Titre: FitzHugh-Nagumo system with zero mass and critical growth
Auteur(s): Figueiredo, Giovany de Jesus Malcher
Montenegro, Marcelo
metadata.dc.contributor.email: mailto:giovany@unb.br
mailto:msm@ime.unicamp.br
Assunto:: Massa zero
Modelo FitzHugh–Nagumo
Modelos de disparos neuronais
Date de publication: 2021
Editeur: Springer Nature
Référence bibliographique: 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.
Abstract: 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.
DOI: https://doi.org/10.1007/s11856-021-2224-z
metadata.dc.relation.publisherversion: https://link.springer.com/article/10.1007/s11856-021-2224-z
Collection(s) :Artigos publicados em periódicos e afins

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