Description

• Title:
  Nonlinear, nonhomogeneous parametric Neumann problems
• Creator:
  Aizicovici, Sergiu;
  Papageorgiou, Nikolaos S.;
  Staicu, Vasile
• Description:
  We consider a parametric nonlinear Neumann problem driven by a nonlinear nonhomogeneous differential operator, with a Carathéodory reaction $f$ which is $p$-superlinear in the second variable, but not necessarily satisfying the usual in such cases Ambrosetti-Rabinowitz condition. We prove a bifurcation type result describing the dependence of positive solutions on the parameter $\lambda> 0$, show the existence of a smallest positive solution $\overline{u}_{\lambda}$ and investigate properties of the map $\lambda\mapsto\overline{u}_{\lambda}$. Finally, we show the existence of nodal solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.24
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 1 (September 2016); 45 - 69;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.035/8472 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.035/8473
• Subject:
  Positive solutions;
  nonlinear nonhomogeneous differential operator;
  nonlinear regularity;
  nonlinear maximum principle;
  bifurcation type result;
  nodal solutions;
  35J66;
  35J70;
  35J92
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.035
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other