On a planar non-autonomous Schrödinger–Poisson system involving exponential critical growth

Albuquerque, Francisco Sibério Bezerra; Carvalho, Jonison Lucas dos Santos; Figueiredo, Giovany de Jesus Malcher; Medeiros, Everaldo Souto de

Registro completo de metadados

Campo DC	Valor	Idioma
dc.contributor.author	Albuquerque, Francisco Sibério Bezerra	-
dc.contributor.author	Carvalho, Jonison Lucas dos Santos	-
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Medeiros, Everaldo Souto de	-
dc.date.accessioned	2022-10-19T20:58:48Z	-
dc.date.available	2022-10-19T20:58:48Z	-
dc.date.issued	2021-01-24	-
dc.identifier.citation	ALBUQUERQUE, F. S.; CARVALHO, J. L.; FIGUEIREDO, G. M.; MEDEIROS, E. On a planar non-autonomous Schrödinger–Poisson system involving exponential critical growth. Calculus of Variations and Partial Differential Equations, v. 60, art. 40, 2021. DOI 10.1007/s00526-020-01902-6. Disponível em: https://link.springer.com/article/10.1007/s00526-020-01902-6. Acesso em: 19 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45047	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On a planar non-autonomous Schrödinger–Poisson system involving exponential critical growth	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Sistema Schrödinger–Poisson	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00526-020-01902-6	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00526-020-01902-6	pt_BR
dc.description.abstract1	In this paper, we investigate the existence of solutions to the planar non-autonomous Schrödinger–Poisson system {−Δu+V(\|x\|)u+γϕK(\|x\|)u=λQ(\|x\|)f(u), &x∈R2,Δϕ=K(\|x\|)u2, &x∈R2, where γ,λ are positive parameters, V, K, Q are continuous potentials, which can be unbounded or vanishing at infinity. By assuming that the nonlinearity f(s) has exponential critical growth, we derive the existence of a ground state solution to the system. A key feature of our approach is a new weighted Trudinger–Moser type inequality proved here.	pt_BR
dc.contributor.email	mailto:fsiberio@cct.uepb.edu.br	pt_BR
dc.contributor.email	mailto:jonison.mat@gmail.com	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:everaldo@mat.ufpb.br	pt_BR
Aparece nas coleções:	Artigos publicados em periódicos e afins