Description

• Title:
  Existence and multiplicity of positive solutions for a Schrodinger-Poisson system with a perturbation
• Creator:
  Sun, Juntao;
  Wu, Tsung-fang
• Description:
  In this paper we study the nonlinear Schrodinger-Poisson system with a perturbation: \begin{equation*} \begin{cases} -\Delta u+u+K( x) \phi u=\vert u\vert ^{p-2}u+\lambda f(x)\vert u\vert ^{q-2}u \text{in }\mathbb{R}^{3}, -\Delta \phi =K( x) u^{2} \text{in }\mathbb{R}^{3}, \end{cases} \end{equation*}% where $K$ and $f$ are nonnegative functions, $2\ge q\leq p\le 6$ and $p\ge 4$, and the parameter $\lambda \in \mathbb{R}$. Under some suitable assumptions on $K $ and $f$, the criteria of existence and multiplicity of positive solutions are established by means of the Lusternik-Schnirelmann category and minimax method.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.12.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 46, No 2 (December 2015); 967 - 998;
  1230-3429
• Format:
  application/pdf
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.079/7297 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2015.079/7293
• Subject:
  Schrodinger-Poisson systems;
  variational methods;
  Lusternik-Schnirelmann category;
  multiple solutions;
  Primary;
  35J20;
  35J61;
  Secondary;
  35A01;
  35B40
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.079
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other