Description

• Title:
  Topological methods for boundary value problems involving discrete vector $\phi$-Laplacians
• Creator:
  Bereanu, Cristian;
  Gheorghe, Dana
• Description:
  In this paper, using Brouwer degree arguments, we prove some existence results for nonlinear problems of the type $$ -\nabla[\phi(\Delta x_m)]=g_m(x_m,\Delta x_m) \quad (1\leq m\leq n-1), $$ submitted to Dirichlet, Neumann or periodic boundary conditions, where $\phi(x)=|x|^{p-2}x$ $(p> 1)$ or $\phi(x)={x}/{\sqrt{1-|x|^2}}$ and $g_m\colon \mathbb{R}^N\to\mathbb{R}^N$ $(1\leq m\leq n-1)$ are continuous nonlinearities satisfying some additional assumptions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 38, No 2 (December 2011); 265 - 276;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.032/8420
• Subject:
  Boundary value problems;
  Brouver degree;
  35F60;
  35J05;
  55M25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other