Smooth potentials with prescribed boundary behaviour.
Publicacions Matemàtiques, Tome 48 (2004) no. 1, p. 241-249.
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.
Source:
Zbl
Classification : 31B15 
@article{PMATES_2004__48_1_41499,
     author = {Stephen J. Gardiner and Anders Gustafsson},
     title = {Smooth potentials with prescribed boundary behaviour.},
     journal = {Publicacions Matem\`atiques},
     pages = {241-249},
     volume = {48},
     number = {1},
     year = {2004},
     zbl = {an:1047.31005},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/PMATES_2004__48_1_41499/}
}
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Stephen J. Gardiner; Anders Gustafsson. Smooth potentials with prescribed boundary behaviour.. Publicacions Matemàtiques, Tome 48 (2004) no. 1, p. 241-249. https://geodesic-test.mathdoc.fr/item/PMATES_2004__48_1_41499/