A remark on gradients of harmonic functions.

Wen Sheng Wang

Revista Matemática Iberoamericana (1995)

  • Volume: 11, Issue: 2, page 227-245
  • ISSN: 0213-2230

Abstract

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In any C1,s domain, there is nonzero harmonic function C1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.

How to cite

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Wang, Wen Sheng. "A remark on gradients of harmonic functions.." Revista Matemática Iberoamericana 11.2 (1995): 227-245. <http://eudml.org/doc/39479>.

@article{Wang1995,
abstract = {In any C1,s domain, there is nonzero harmonic function C1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.},
author = {Wang, Wen Sheng},
journal = {Revista Matemática Iberoamericana},
keywords = {Función armónica; Ecuación del potencial; Gradientes; Problema de contorno; Solución numérica; Teorema de anulación; Lipschitz domains; -Dini domains; domains},
language = {eng},
number = {2},
pages = {227-245},
title = {A remark on gradients of harmonic functions.},
url = {http://eudml.org/doc/39479},
volume = {11},
year = {1995},
}

TY - JOUR
AU - Wang, Wen Sheng
TI - A remark on gradients of harmonic functions.
JO - Revista Matemática Iberoamericana
PY - 1995
VL - 11
IS - 2
SP - 227
EP - 245
AB - In any C1,s domain, there is nonzero harmonic function C1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
LA - eng
KW - Función armónica; Ecuación del potencial; Gradientes; Problema de contorno; Solución numérica; Teorema de anulación; Lipschitz domains; -Dini domains; domains
UR - http://eudml.org/doc/39479
ER -

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