The Hardy-Money & Hardy-John-Nirenberg inequalities involving distance to the boundary

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Filippas, Stathis¹  Psaradakis, Georgios^1,2 

[1] Univ Crete, Dept Math & Appl Math, Voutes Campus, Iraklion 70013, Crete, Greece

[2] Technion, Dept Math, IL-32000 Haifa, Israel

关键词: Hardy-Morrey inequality;    Hardy-Sobolev inequality;    Weighted Sobolev embedding;    Bounded mean oscillation;   

DOI  :  10.1016/j.jde.2016.05.021

来源: Elsevier

【 摘 要 】

We strengthen the classical inequality of C.B. Morrey concerning the optimal Holder continuity of functions in W-1,W-P when p > n, by replacing the L-P-modulus of the gradient with the sharp Hardy difference involving distance to the boundary. When p = n we do the same strengthening in the integral form of a well known inequality due to F. John and L. Nirenberg. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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