Description

• Title:
  Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field
• Creator:
  Alves, Claudianor Oliveira;
  Nemer, Rodrigo C. M.;
  Soares, Sergio H. Monari
• Description:
  We study the existence of solutions for a class of nonlinear Schr\"{o}dinger equations involving a magnetic field with mixed Dirichlet--Neumann boundary conditions. We use Lusternik--Shnirelman category and the Morse theory to estimate the number of nontrivial solutions in terms of the topology of the part of the boundary where the Neumann condition is prescribed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 1 (September 2015); 329 - 362;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.050/7214
• Subject:
  Nonlinear Schrodinger equation;
  variational methods;
  Lusternik--Schnirelman category;
  Morse theory;
  Primary;
  35A15;
  14E20;
  Secondary;
  35H30;
  35Q55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.050
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other