Description

• Title:
  Quasilinear elliptic equations with singular potentials and bounded discontinuous nonlinearities
• Creator:
  Li, Anran;
  Cai, Hongrui;
  Su, Jiabao
• Description:
  In this paper we study the quasilinear equation $$ \cases - \text{div}(|\nabla u|^{p-2} \nabla u)+V(|x|)|u|^{p-2} u= Q(|x|)f(u), & x\in \mathbb{R}^N, \\ u(x)\rightarrow 0,\quad |x|\rightarrow \infty. \endcases \leqno(\text{P}) $$ with singular radial potentials $V$, $Q$ and bounded measurable function $f$. The approaches used here are based on a compact embedding from the space $W^{1,p}_r(\mathbb{R}^N; V)$ into $L^1 (\mathbb{R}^N; Q)$ and a new multiple critical point theorem for locally Lipschitz continuous functionals.
• 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 43, No 2 (June 2014); 439 - 450;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.026/8140
• Subject:
  Quasilinear elliptic equation;
  Sobolev embedding;
  non-smooth critical point theorem;
  bounded discontinuous nonlinearity;
  35J10;
  35J65;
  58E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.026
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other