Description

• Title:
  Infinitely many solutions for a class of quasilinear equation with a combination of convex and concave terms
• Creator:
  Teng, Kaimin;
  Agarwal, Ravi P.
• Description:
  We consider the following quasilinear elliptic equation with convex and concave nonlinearities: \begin{equation*} -\Delta_p u-(\Delta_pu^2)u+V(x)|u|^{p-2}u=\lambda K(x) |u|^{q-2}u+\mu g(x,u),\quad \text{in }\mathbb{R}^N, \end{equation*} where $2\leq p< N$, $1< q< p$, $\lambda,\mu\in\mathbb{R}$, $V$ and $K$ are potential functions, and $g\in C(\mathbb{R}^N\times\mathbb{R},\mathbb{R})$ is a continuous function. Under some suitable conditions on $V,K$ and $g$, the existence of infinitely many solutions is established.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.08.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 50, No 1 (September 2017); 299 - 332;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.031/12751 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.031/12752
• Subject:
  Quasilinear Schrödinger equation;
  Palais-Smale condition;
  concave-convex nonlinearities;
  Primary 35J92;
  35J62;
  Secondary 35B38;
  35D30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.031
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other