Introduction to fractional Orlicz-Sobolev spaces
Analysis of PDEs
2018-08-01 v1
Abstract
In this paper, we define the fractional Orlicz-Sobolev spaces, and we prove some important results of these spaces. The main result is to show the continuous and compact embedding for these spaces. As an application, we prove the existence and uniqueness of a solution for a non local problem involving the fractional M-Laplacian operator.
Keywords
Cite
@article{arxiv.1807.11753,
title = {Introduction to fractional Orlicz-Sobolev spaces},
author = {Elhoussine Azroul and Abdelmoujib Benkirane and Mohammed Srati},
journal= {arXiv preprint arXiv:1807.11753},
year = {2018}
}
Comments
19 pages. arXiv admin note: text overlap with arXiv:1104.4345 by other authors