Description

• Title:
  Nonlocal Schrödinger equations for integro-differential operators with measurable kernels
• Creator:
  Duarte, Ronaldo C.;
  Souto, Marco A. S.
• Description:
  In this paper we investigate the existence of positive solutions for the problem$$-\mathcal{L}_{K}u+V(x)u=f(u)$$in $\mathbb R^N$, where $-\mathcal{L}_{K}$ is an integro-differential operator with measurable kernel $K$.Under apropriate hypotheses, we prove by variational methods that this equation has a~nonnegative solution.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.07.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 1 (September 2019); 383 - 406;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.056/18037 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.056/18038
• Subject:
  Integro-differential operator;
  nonlocal Schrödinger equation;
  asymptotic potential;
  Primary 35J60;
  Secondary 35J10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.056
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other