Introduction to fractional Orlicz-Sobolev spaces

Published 31 Jul 2018 in math.AP | (1807.11753v1)

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.

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