Description

• Title:
  Normalized solutions to a non-variational Schrödinger system
• Creator:
  Clapp, Mónica;
  Szulkin, Andrzej
• Description:
  We establish the existence of positive normalized (in the $L^2$ sense) solutions to non-variational weakly coupled elliptic systems of $\ell$ equations. We consider couplings of both cooperative and competitive type. We show the problem can be formulated as an operator equation on the product of $\ell$ $L^2$-spheres and apply a degree-theoretical argument on this product to obtain existence.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Mónica Clapp, Andrzej Szulkin
• Date:
  2023.03.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 445 - 464;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42924/35041 ;https://apcz.umk.pl/TMNA/article/view/42924/35042
• Subject:
  Morse index;
  Brouwer degree;
  weakly coupled elliptic system;
  positive solution;
  uniform bound;
  35J61, 35B09, 35Q55, 47H11, 58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/42924
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other