On Korn-Maxwell-Sobolev inequalities

Franz Gmeineder; Daniel Spector

doi:10.1016/j.jmaa.2021.125226

On Korn-Maxwell-Sobolev inequalities

Franz Gmeineder
, Daniel Spector^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

14 引文斯高帕斯（Scopus）

摘要

We establish a family of inequalities that allow one to estimate the L^q-norm of a matrix-valued field by the L^q-norm of an elliptic part and the L^p-norm of the matrix-valued curl. This particularly extends previous work by NEFF et al. and, as a main novelty, is applicable in the regime p=1.

原文	英語
文章編號	125226
期刊	Journal of Mathematical Analysis and Applications
卷	502
發行號	1
DOIs	https://doi.org/10.1016/j.jmaa.2021.125226
出版狀態	已發佈 - 2021 10月 1
對外發佈	是

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10.1016/j.jmaa.2021.125226

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title = "On Korn-Maxwell-Sobolev inequalities",

abstract = "We establish a family of inequalities that allow one to estimate the Lq-norm of a matrix-valued field by the Lq-norm of an elliptic part and the Lp-norm of the matrix-valued curl. This particularly extends previous work by NEFF et al. and, as a main novelty, is applicable in the regime p=1.",

keywords = "Fourier multipliers, Fractional integrals, Incompatible tensor fields, Korn's inequality, Singular integrals, Sobolev inequalities",

author = "Franz Gmeineder and Daniel Spector",

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AB - We establish a family of inequalities that allow one to estimate the Lq-norm of a matrix-valued field by the Lq-norm of an elliptic part and the Lp-norm of the matrix-valued curl. This particularly extends previous work by NEFF et al. and, as a main novelty, is applicable in the regime p=1.

KW - Fourier multipliers

KW - Fractional integrals

KW - Incompatible tensor fields

KW - Korn's inequality

KW - Singular integrals

KW - Sobolev inequalities

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On Korn-Maxwell-Sobolev inequalities

摘要

ASJC Scopus subject areas

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指紋

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