Description

• Title:
  Nodal solution for a planar problem with fast increasing weights
• Creator:
  Figueiredo, Giovany M.;
  Furtado, Marcelo F.;
  Ruviaro, Ricardo
• Description:
  In this paper we prove the existence of a sign-changing solutions for the equation $$ -\Delta u - \frac{1}{2} ( x \cdot \nabla u) = f(u), \quad x \in \mathbb{R}^2, $$ where $f$ has exponential critical growth in the sense of the Trudinger-Moser inequality. In the proof we apply variational methods.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 54, No 2 (December 2019); 793 - 805;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.070/23855 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.070/23856
• Subject:
  Nodal solutions;
  critical exponential growth;
  self-similar solutions;
  Primary;
  35J35;
  Secondary;
  35J30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.070
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other