Título :	Fast decaying ground states for elliptic equations with exponential nonlinearity
Autor :	Figueiredo, Giovany de Jesus Malcher Montenegro, Marcelo
metadata.dc.contributor.email:	mailto:giovany@unb.br mailto:msm@ime.unicamp.br
Assunto::	Crescimento exponencial crítico Equação subcrítica Soluções positivas
Fecha de publicación :	21-sep-2020
Editorial :	Elsevier
Citación :	FIGUEIREDO, Giovany; MONTENEGRO, Marcelo. Fast decaying ground states for elliptic equations with exponential nonlinearity. Applied Mathematics Letters, v. 112, art. 106779, fev. 2021. DOI 10.1016/j.aml.2020.106779. Disponível em: https://www.sciencedirect.com/science/article/pii/S0893965920303955. Acesso em: 19 out. 2022.
Abstract:	We show the existence of positive minimal energy solutions for the equation −div(K(x)∇u) = K(x)f (u) in R2, where K(x) = exp(|x|2/4) and f : R → R is a superlinear continuous function with exponential subcritical or exponentialcritical growth. We use as a main tool the Nehari manifold method.
DOI:	https://doi.org/10.1016/j.aml.2020.106779
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/pii/S0893965920303955
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