Opis

• Title:
  On the Fučík spectrum for elliptic systems
• Creator:
  Massa, Eugenio;
  Ruf, Bernhard
• Description:
  We propose an extension of the concept of Fučík spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications. We show that near a simple eigenvalue of the system, the Fučík spectrum consists (after a suitable reparametrization) of two (maybe coincident) 2-dimensional surfaces. Furthermore, by variational methods, parts of the Fučík spectrum which lie far away from the diagonal (i.e. from the eigenvalues) are found. As application, some existence, non-existence and multiplicity results to systems with eigenvalue crossing (``jumping'') nonlinearities are proved.
• Object availability:
  Dostęp otwarty
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2006.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  angielski
• Source:
  Topological Methods in Nonlinear Analysis; Vol 27, No 2 (June 2006); 195 - 228;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.008/8866
• Subject:
  Elliptic system;
  Fučík spectrum;
  variational methods;
  topological degree;
  35J50;
  35J55;
  35J60
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2006.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  poproś o pozwolenie
• Type:
  pozostałe