A remark on global W1,p bounds of harmonic functions with Lipschitz boundary values

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Katzourakis, N. (2017) A remark on global W1,p bounds of harmonic functions with Lipschitz boundary values. Glasnik Matematicki, 52 (1). pp. 107-113. ISSN 1846-7989 doi: 10.3336/gm.52.1.08

Abstract/Summary

In this note we show that gradient of harmonic functions on a smooth domain with Lipschitz boundary values is pointwise bounded by a universal function which is in Lp for all finite p≥ 1.

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Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/67060
Identification Number/DOI	10.3336/gm.52.1.08
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Croatian Mathematical Society and Department of Mathematics, University of Zagreb, Croatia
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Date Deposited:	05 Oct 2016 12:00	Date item deposited into CentAUR
Last Modified:	23 Mar 2025 01:27	Date item last modified

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