Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth

Figueiredo, Giovany de Jesus Malcher; Moreira, Sandra I.; Ruviaro, Ricardo

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Campo DC	Valor	Idioma
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Moreira, Sandra I.	-
dc.contributor.author	Ruviaro, Ricardo	-
dc.date.accessioned	2022-11-03T20:43:39Z	-
dc.date.available	2022-11-03T20:43:39Z	-
dc.date.issued	2021-09-12	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; MOREIRA, Sandra I.; RUVIARO, Ricardo. Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth. Topological Methods in Nonlinear Analysis, v. 58, n. 1, p. 335-349, 2021. DOI 10.12775/TMNA.2020.073. Disponível em: https://apcz.umk.pl/TMNA/article/view/35215. Acesso em: 03 nov. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45088	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Nicolaus Copernicus University	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.subject.keyword	Expoente supercrítico	pt_BR
dc.subject.keyword	Equação fracionária	pt_BR
dc.identifier.doi	http://doi.org/10.12775/TMNA.2020.073	pt_BR
dc.relation.publisherversion	https://apcz.umk.pl/TMNA/article/view/35215	-
dc.description.abstract1	Our main goal is to explore the existence of positive solutions for a class of nonlinear fractional Schrödinger equation involving supercritical growth given by $$ (- \Delta)^{\alpha} u + V(x)u=p(u),\quad x\in \mathbb{R^N},\ N \geq 1. $$ We analyze two types of problems, with $V$ being periodic and asymptotically periodic; for this we use a variational method, a truncation argument and a concentration compactness principle.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1697-1592	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-3255-2446	pt_BR
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