Description

• Title:
  Nonlinear perturbations of a periodic fractional Laplacian with supercritical growth
• Creator:
  Figueiredo, Giovany M.;
  Moreira, Sandra I.;
  Ruviaro, Ricardo
• Description:
  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.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2021.09.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 58, No 1 (September 2021); 335 - 349;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/35215/29676 ;https://apcz.umk.pl/TMNA/article/view/35215/29677
• Subject:
  Variational methods;
  supercritical exponent;
  fractional equation;
  35J20;
  35R11;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/35215
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other