Titre:	Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth
Auteur(s):	Figueiredo, Giovany de Jesus Malcher Moreira, Sandra I. Ruviaro, Ricardo
metadata.dc.identifier.orcid:	https://orcid.org/0000-0003-1697-1592 https://orcid.org/0000-0002-3255-2446
Assunto::	Métodos variacionais Expoente supercrítico Equação fracionária
Date de publication:	12-sep-2021
Editeur:	Nicolaus Copernicus University
Référence bibliographique:	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.
Abstract:	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.
DOI:	http://doi.org/10.12775/TMNA.2020.073
metadata.dc.relation.publisherversion:	https://apcz.umk.pl/TMNA/article/view/35215
Collection(s) :	Artigos publicados em periódicos e afins

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