Glasnik matematički, Vol. 52 No. 1, 2017.
Original scientific paper
https://doi.org/10.3336/gm.52.1.08
A remark on global W^1,p bounds for harmonic functions with Lipschitz boundary values
Nikos Katzourakis
orcid.org/0000-0001-5292-270X
; Department of Mathematics and Statistics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, United Kindgom
Abstract
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.
Keywords
Harmonic functions; Dirichlet problem; Schauder estimates
Hrčak ID:
183126
URI
Publication date:
21.6.2017.
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