Description

• Title:
  Positive solutions for generalized nonlinear logistic equations of superdiffusive type
• Creator:
  Iannizzotto, Antonio;
  Papageorgiou, Nikolaos S.
• Description:
  We consider a generalized version of the $p$-logistic equation. Using variational methods based on the critical point theory and truncation techniques, we prove a bifurcation-type theorem for the equation. So, we show that there is a critical value $\lambda_*> 0$ of the parameter $\lambda> 0$ such that the following holds: if $\lambda> \lambda_*$, then the problem has two positive solutions; if $\lambda=\lambda_*$, then there is a positive solution; and finally, if $0< \lambda< \lambda_*$, then there are no positive solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 38, No 1 (September 2011); 95 - 113;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.025/8413
• Subject:
  Generalized p-logistic equation;
  superdiffusive case;
  p-Laplacian;
  nonlinear maximum principle;
  positive solution;
  comparison theorem;
  35J20;
  35J60;
  35J92
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.025
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other