Description

• Title:
  Twin positive solutions for singular nonlinear elliptic equations
• Creator:
  Chen, Jianqing;
  Papageorgiou, Nikolaos S.;
  Rocha, Eugénio M.
• Description:
  For a bounded domain $Z\subseteq{\mathbb{R}}^N$ with a $C^2$-boundary, we prove the existence of an ordered pair of smooth positive strong solutions for the nonlinear Dirichlet problem $$ -\Delta_p x(z) = \beta(z)x(z)^{-\eta}+f(z,x(z)) \quad \text{a.e on } Z \text{ with } x\in W^{1,p}_0(Z), $$ which exhibits the combined effects of a singular term ($\eta\geq 0$) and a $(p-1)$-linear term $f(z,x)$ near $+\infty$, by using a combination of variational methods, with upper-lower solutions and with suitable truncation techniques.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 35, No 1 (March 2010); 187 - 201;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.011/8464
• Subject:
  Singular nonlinearity;
  positive solutions;
  variational methods;
  truncation techniques;
  upper-lower solutions;
  Primary 35J65;
  Secondary 35J70;
  47J30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other