Description

• Title:
  Multiplicity results for superquadratic Dirichlet boundary value problems in $\mathbb R^2$
• Creator:
  Capietto, Anna;
  Dambrosio, Walter
• Description:
  In this paper it is studied the Dirichlet problem associated to the planar system $z'=J\nabla F(t,z)$. We consider the situation where the Hamiltonian $F$ satisfies a superquadratic-type condition at infinity. By means of a bifurcation argument we prove the existence of infinitely many solutions. These solutions are distinguished by the Maslov index of an associated linear system.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 31, No 1 (March 2008); 19 - 28;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.002/8766
• Subject:
  Maslov index;
  bifurcation;
  boundary value problems;
  34B15;
  34C23
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.002
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other