Description

• Title:
  Existence of solutions for nonlinear p-Laplacian difference equations
• Creator:
  Saavedra, Lorena;
  Tersian, Stepan
• Description:
  The aim of this paper is the study of existence of solutions for nonlinear $2n^{\mathrm{th}}$-order difference equations involving $p$-Laplacian. In the first part, the existence of a nontrivial homoclinic solution for a discrete $p$-Laplacian problem is proved. The proof is based on the mountain-pass theorem of Brezis and Nirenberg. Then, we study the existence of multiple solutions for a discrete $p$-Laplacian boundary value problem. In this case the proof is based on the three critical points theorem of Averna and Bonanno.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.07.07
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 1 (September 2017); 151 - 167;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.022/12388 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.022/12389
• Subject:
  $p$-Laplacian;
  difference equations;
  mountain-pass theorem;
  Primary;
  47B39;
  47J30;
  Secondary;
  47J05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.022
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other