Título:	FitzHugh-Nagumo system with zero mass and critical growth
Autor(es):	Figueiredo, Giovany de Jesus Malcher Montenegro, Marcelo
E-mail do autor:	mailto:giovany@unb.br mailto:msm@ime.unicamp.br
Assunto:	Massa zero Modelo FitzHugh–Nagumo Modelos de disparos neuronais
Data de publicação:	2021
Editora:	Springer Nature
Referência:	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
Versão da editora:	https://link.springer.com/article/10.1007/s11856-021-2224-z
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