Description

• Title:
  Existence, multiplicity and concentration of positive solutions for a class of quasilinear problems
• Creator:
  Alves, Claudianor O.;
  Ding, Yanheng
• Description:
  Using variational methods we establish existence and multiplicity of positive solutions for the following class of quasilinear problems $$ -\Delta_{p}u + \lambda V(x)|u|^{p-2}u= \mu |u|^{p-2}u+|u|^{p^{*}-2}u \quad\text{in } {\mathbb R}^{N} $$ where $\Delta_{p}u$ is the $p$-Laplacian operator, $2 \leq p < N$, $p^{*}={pN}/(N-p)$, $\lambda, \mu \in (0, \infty)$ and $V\colon {\mathbb R}^{N} \rightarrow {\mathbb R}$ is a continuous function verifying some hypothesis.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2007.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 29, No 2 (June 2007); 265 - 278;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.011/8833
• Subject:
  Variational methods;
  critical exponent;
  elliptic equation;
  35A15;
  35B33;
  35J55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.011
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other