Description

• Title:
  Solutions with sign information for nonlinear nonhomogeneous elliptic equations
• Creator:
  Papageorgiou, Nikolaos S.;
  Radulescu, Vicentiu D.
• Description:
  We consider a class of nonlinear, coercive elliptic equations driven by a nonhomogeneous differential operator. Using variational methods together with truncation and comparison techniques, we show that the problem has at least three nontrivial solutions, all with sign information. In the special case of $(p,2)$-equations, using tools from Morse theory, we show the existence of four nontrivial solutions, all with sign information. Finally, for a special class of parametric equations, we obtain multiplicity theorems that substantially extend earlier results on the subject.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 2 (June 2015); 575 - 600;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.027/7459
• Subject:
  Nonlinear nonhomogeneous differential operator;
  nonlinear maximum principle;
  strong comparison principle;
  Morse theory;
  parametric equations;
  nodal solutions;
  35J20;
  35J60;
  35J92;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.027
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other