Description

• Title:
  On fractional Schroedinger equations in $\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition
• Creator:
  Secchi, Simone
• Description:
  In this note we prove the existence of radially symmetric solutions for a class of fractional Schrodinger equation in R^N of the form (-\Delat)^s u + V (x) u = g(u); where the nonlinearity g does not satisfy the usual Ambrosetti-Rabinowitz condition. Our approach is variational in nature, and leans on a Pohozaev identity for the fractional laplacian.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 19 - 41;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.090/7514 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.090/7515
• Subject:
  Fractional laplacian;
  Pohozaev identity;
  35Q55;
  35A15;
  35J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.090
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other