Smooth potentials with prescribed boundary behaviour

• Autores: Stephen J. Gardiner, Anders Gustafsson
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 48, Nº 1, 2004, págs. 241-249
• Idioma: inglés
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• Resumen

  • This paper examines when it is possible to find a smooth potential on a C1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C1 superharmonic extension is given.