Description

• Title:
  Multiplicity results for fractional $p$-Laplacian problems with Hardy term and Hardy-Sobolev critical exponent in $\mathbb{R}^N$
• Creator:
  Mirzaee, Hadi
• Description:
  This paper is devoted to the study of a class of singular fractional $p\hskip0.5pt$-Laplacian Problems of the form $$ (-\Delta)_p^su-\mu\frac{|u|^{p-2}u}{|x|^{ps}} =\alpha\frac{|u|^{ p_{s}^{*}(b)-2 }u}{|x|^b} +\beta f(x)|u|^{q-2}u\quad \text{in }\mathbb{R}^N $$% where $0 < s< 1$, $0\leq b< ps< N$, $1< q< p_{s}^{*}(b)$, $\alpha, \beta> 0$, $\mu\in \mathbb{R}$, and $f(x)$ is a given function which satisfies some appropriate condition. By using variational methods, we prove the existence of infinitely many solutions under different conditions.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.05.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 603 - 621;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.013/17508 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.013/17509
• Subject:
  Hardy term;
  fractional $p$-Laplacian;
  critical exponent;
  35J60;
  35R11;
  35J20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.013
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other