Description

• Title:
  About positive $W_{loc}^{1,\Phi}(\Omega)$-solutions to quasilinear elliptic problems with singular semilinear term
• Creator:
  Santos, Carlos Alberto;
  Gonçalves, José Valdo;
  Carvalho, Marcos Leandro
• Description:
  This paper deals with the existence, uniqueness and regularity of positive$W_{\rom loc}^{1,\Phi}(\Omega)$-solutions of singular elliptic problems on a~smooth bounded domain with Dirichlet boundary conditions involving the $\Phi$-Laplacian operator.The proof of the existence is based on a variant of the generalized Galerkin method that we developed inspired by ideas of Browder \cite{Browder} and a comparison principle. By the use of a kind of Moser's iteration scheme we show the$L^{\infty}(\Omega)$-regularity for positive solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.03.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 491 - 517;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.009/17146 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.009/17147
• Subject:
  $\Phi$-Laplacian;
  Orlicz--Sobolev spaces;
  singular;
  Galerkin method;
  Primary;
  35J25;
  35J60;
  35J75;
  Secondary;
  35M11;
  35M12
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.009
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other