The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Revista Matemática Iberoamericana


Full-Text PDF (159 KB) | Metadata | Table of Contents | RMI summary
Volume 23, Issue 1, 2007, pp. 201–212
DOI: 10.4171/RMI/491

Published online: 2007-04-30

Nonvariational layer potentials with respect to H¨older continuous vector fields

Gregory C. Verchota[1]

(1) Syracuse University, USA

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.

Keywords: Oblique derivative, Lipschitz domain, uniqueness

Verchota Gregory: Nonvariational layer potentials with respect to H¨older continuous vector fields. Rev. Mat. Iberoam. 23 (2007), 201-212. doi: 10.4171/RMI/491