A sharp Sobolev trace inequality of order four on three-balls

Fuente: arXiv
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Auteurs principaux: Chen, Xuezhang, Zhang, Shihong
Format: Preprint
Publié: 2024
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author Chen, Xuezhang
Zhang, Shihong
author_facet Chen, Xuezhang
Zhang, Shihong
contents We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.
format Preprint
id arxiv_https___arxiv_org_abs_2403_00380
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A sharp Sobolev trace inequality of order four on three-balls
Chen, Xuezhang
Zhang, Shihong
Analysis of PDEs
Differential Geometry
We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.
title A sharp Sobolev trace inequality of order four on three-balls
topic Analysis of PDEs
Differential Geometry
url https://arxiv.org/abs/2403.00380