Skoči na glavni sadržaj

Izvorni znanstveni članak

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 id orcid.org/0000-0001-5292-270X ; Department of Mathematics and Statistics, University of Reading, Whiteknights, PO Box 220, Reading RG6 6AX, United Kindgom


Puni tekst: engleski pdf 114 Kb

str. 107-113

preuzimanja: 300

citiraj


Sažetak

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.

Ključne riječi

Harmonic functions, Dirichlet problem, Schauder estimates

Hrčak ID:

183126

URI

https://hrcak.srce.hr/183126

Posjeta: 503 *