Description

• Title:
  Existence of saddle-type solutions for a class of quasilinear problems in R^2
• Creator:
  Alves, Claudianor O.;
  Isneri, Renan J. S.;
  Montecchiari, Piero
• Description:
  The main goal of the present paper is to prove the existence of saddle-type solutions for the following class of quasilinear problems $$ -\Delta_{\Phi}u + V'(u)=0\quad \text{in }\mathbb{R}^2, $$% where $$ \Delta_{\Phi}u=\text{div}(\phi(|\nabla u|)\nabla u), $$% $\Phi\colon \mathbb{R}\rightarrow [0,+\infty)$ is an N-function and the potential $V$ satisfies some technical condition and we have as an example $ V(t)=\Phi(|t^2-1|)$.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Claudianor O. Alves, Renan J. S. Isneri, Piero Montecchiari
• Date:
  2023.07.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 2 (June 2023); 825 - 868;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/45119/36046 ;https://apcz.umk.pl/TMNA/article/view/45119/36047
• Subject:
  Variational methods;
  quasilinear elliptic equations;
  heteroclinic solutions;
  Primary: 35A15, 35J62, 34C37
• Identifier: https://apcz.umk.pl/TMNA/article/view/45119
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other