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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

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To link to this item 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.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:67060
Publisher:Croatian Mathematical Society and Department of Mathematics, University of Zagreb, Croatia
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