Description

• Title:
  Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
• Creator:
  Bahrouni, Sabri;
  Ounaies, Hichem;
  Tavares, Leandro S.
• Description:
  In this paper, we study the interplay between the Orlicz-Sobolev spaces $L^{M}$ and $W^{1,M}$ and the fractional Sobolev spaces $W^{s,p}$. More precisely, we give some qualitative properties of a new fractional Orlicz-Sobolev space $W^{s,M}$, where $s\in (0,1)$ and $M$ is a Young function. We also study a related non-local operator, which is a fractional version of the nonhomogeneous $M$-Laplace operator. As an application, we prove existence of a weak solution for a non-local problem involving the new fractional $M$-Laplacian operator.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.06.07
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 55, No 2 (June 2020); 681 - 695;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.111/25794 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.111/25795
• Subject:
  Fractional Orlicz-Sobolev space;
  fractional $M$-Laplacian;
  non-local problems;
  existence of solution;
  Primary;
  35J60;
  Secondary;
  35J91;
  35S30;
  46E35;
  58E30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.111
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other