Nonvariational layer potentials with respect to Hölder continuous vector fields. (English) Zbl 1220.35034

Verchota, Gregory C.

Rev. Mat. Iberoam. 23, No. 1, 201-212 (2007).

Summary: 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.

MSC:

35J25	Boundary value problems for second-order elliptic equations
31B10	Integral representations, integral operators, integral equations methods in higher dimensions

Keywords:

oblique derivative; Lipschitz domain; uniqueness

References:

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