Description

• Title:
  Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities
• Creator:
  Perera, Kanishka;
  Sim, Inbo
• Description:
  We prove the existence of a positive solution to a semipositone $N$-Laplacian problem with a critical Trudinger-Moser nonlinearity. The proof is based on obtaining uniform $C^{1,\alpha}$ a priori estimates via a compactness argument. Our result is new even in the semilinear case $N = 2$, and our arguments can easily be adapted to obtain positive solutions of more general semipositone problems with critical Trudinger-Moser nonlinearities.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.03.07
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 1 (March 2020); 243 - 255;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.074/25029 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.074/25030
• Subject:
  Semipositone $N$-Laplacian problems;
  critical Trudinger-Moser nonlinearities;
  positive solutions;
  uniform $C^{1;
  \alpha}$ a priori estimates;
  Primary;
  35J92;
  Secondary;
  35B33;
  35B09;
  35B45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.074
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other