Description

• Title:
  Existence and nonexistence of least energy nodal solution for a class of elliptic problem in R2
• Creator:
  Alves, Claudianor Oliveira;
  Pereira, Denilson
• Description:
  In this work, we prove the existence of least energy nodal solutions for a class of elliptic problem in both cases, bounded and unbounded domain, when the nonlinearity has exponential critical growth in $\mathbb{R}^2$. Moreover, we also prove a nonexistence result of least energy nodal solution for the autonomous case in whole $\mathbb{R}^{2}$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 867 - 892;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.078/7296 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.078/7292
• Subject:
  Variational methods;
  exponential critical growth;
  nodal solution;
  35A15;
  35J15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.078
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other