Description

• Title:
  On a class of nonhomogeneous elliptic problems involving exponential critical growth
• Creator:
  de Souza, Manassés;
  de Medeiros, Everaldo Souto;
  Severo, Uberlandio
• Description:
  In this paper we establish the existence of solutions for elliptic equations of the form $-\text{div}(|\nabla u|^{n-2}\nabla u) + V(x)|u|^{n-2}u=g(x,u)+\lambda h$ in $\mathbb{R}^n$ with $n\geq2$. Here the potential $V(x)$ can change sign and the nonlinearity $g(x,u)$ is possibly discontinuous and may exhibit exponential growth. The proof relies on the application of a fixed point result and a version of the Trudinger-Moser inequality.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 2 (December 2014); 399 - 412;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.053/8170
• Subject:
  Critical growth;
  Trudinger-Moser inequality;
  fixed point result;
  discontinuous nonlinearity;
  35J92;
  47H10;
  35B33
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.053
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other