Description

• Title:
  Multiplicity and concentration results for a class of singularly perturbed critical quasilinear Schrödinger equation
• Creator:
  Chen, Yongpeng;
  Tang, Zhongwei
• Description:
  In this paper, we study a class of singularly perturbed critical quasilinear Schrödinger equation of the form $$ -\varepsilon^2\Delta u+V(x)u-\varepsilon^2(\Delta u^2)u=P(x)|u|^{p-2}u+Q(x)|u|^{2\cdot2^*-2}u,\quad \hbox{in } \mathbb{R}^N. $$% By using a change of variables and variational argument, we prove not only the existence of positive ground state solutions and their concentration behavior, but also the existence and associated concentration behavior of multiple solutions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.08.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 135 - 171;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.115/26387 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.115/26388
• Subject:
  Quasilinear Schrödinger equation;
  critical exponent;
  multiplicity;
  concentration;
  Primary;
  35B25;
  35J61;
  Secondary;
  35Q55
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.115
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other