On Korn-Maxwell-Sobolev inequalities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:502

Article

Gmeineder, Franz¹  Spector, Daniel² 

[1] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Grad Univ, Okinawa Inst Sci & Technol, 1919-1 Tancha, Okinawa 9040495, Japan

关键词: Korn's inequality;    Fourier multipliers;    Fractional integrals;    Singular integrals;    Sobolev inequalities;    Incompatible tensor fields;   

DOI  :  10.1016/j.jmaa.2021.125226

来源: Elsevier

【 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. (C) 2021 The Authors. Published by Elsevier Inc.

【 授权许可】

Free