Description

• Title:
  Infinitely many solutions to quasilinear elliptic equation with concave and convex terms
• Creator:
  Xia, Leran;
  Yang, Minbo;
  Zhao, Fukun
• Description:
  In this paper, we are concerned with the following quasilinear elliptic equation with concave and convex terms $$ -\Delta u-{\frac12}u\Delta(|u|^2)=\alpha|u|^{p-2}u+\beta|u|^{q-2}u,\quad x\in \Omega, \leqno(\rom{P}) $$% where $\Omega\subset\mathbb{R}^N$ is a bounded smooth domain, $1< p< 2$, $4< q\leq 22^*$. The existence of infinitely many solutions is obtained by the perturbation methods.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 2 (December 2014); 539 - 553;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.060/8177
• Subject:
  Concave and convex terms;
  fountain theorem;
  perturbation methods;
  35B05;
  35B45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.060
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other