On fractional Orlicz boundary Hardy inequalities

Fuente: arXiv
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Autor principal: Roy, Subhajit
Formato: Preprint
Publicado: 2024
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author Roy, Subhajit
author_facet Roy, Subhajit
contents We investigate the fractional Orlicz boundary Hardy-type inequality for bounded Lipschitz domains. Further, we establish fractional Orlicz boundary Hardy-type inequalities with logarithmic corrections for specific critical cases across various domains, such as bounded Lipschitz domains, domains above the graph of a Lipschitz function, and the complement of a bounded Lipschitz domain.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04890
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On fractional Orlicz boundary Hardy inequalities
Roy, Subhajit
Analysis of PDEs
46E30, 35R11, 35A23
We investigate the fractional Orlicz boundary Hardy-type inequality for bounded Lipschitz domains. Further, we establish fractional Orlicz boundary Hardy-type inequalities with logarithmic corrections for specific critical cases across various domains, such as bounded Lipschitz domains, domains above the graph of a Lipschitz function, and the complement of a bounded Lipschitz domain.
title On fractional Orlicz boundary Hardy inequalities
topic Analysis of PDEs
46E30, 35R11, 35A23
url https://arxiv.org/abs/2408.04890