Nontangential a.e. vanishing of the oblique derivative of a
harmonic function with respect to a Hölder continuous vector
field on a Lipschitz boundary is shown to imply that the harmonic
function is constant.
@article{1180728890,
author = {Verchota, Gregory C.},
title = {Nonvariational layer potentials with respect to H\"older continuous vector fields},
journal = {Rev. Mat. Iberoamericana},
volume = {23},
number = {1},
year = {2007},
pages = { 201-212},
language = {en},
url = {http://dml.mathdoc.fr/item/1180728890}
}
Verchota, Gregory C. Nonvariational layer potentials with respect to Hölder continuous vector fields. Rev. Mat. Iberoamericana, Tome 23 (2007) no. 1, pp. 201-212. http://gdmltest.u-ga.fr/item/1180728890/