Theory of capacities in fracional Sobolev spaces with variable exponents
Functional Analysis
2024-10-15 v2 Analysis of PDEs
Abstract
In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relative capacity. Basic properties of capacities, including monotonicity, outer capacity and several results, are studies. We prove that both capacities is a Choquet capacity and all borel sets are capacitable.
Cite
@article{arxiv.1904.08997,
title = {Theory of capacities in fracional Sobolev spaces with variable exponents},
author = {Azeddine Baalal and Mohamed Berghout},
journal= {arXiv preprint arXiv:1904.08997},
year = {2024}
}
Comments
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