Introduction to fractional Orlicz-Sobolev spaces

Autor:	Azroul, Elhoussine, Benkirane, Abdelmoujib, Srati, Mohammed
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 19 pages. arXiv admin note: text overlap with arXiv:1104.4345 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.11753 Zobrazit plný text záznamu View this record from Arxiv