JournalsrmiVol. 11, No. 2pp. 227–245

A remark on gradients of harmonic functions

  • Wensheng Wang

    University of Southern California, Los Angeles, USA
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Abstract

In any C1,sC^{1,s} domain there is nonzero harmonic function C1C^1 continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.

Cite this article

Wensheng Wang, A remark on gradients of harmonic functions. Rev. Mat. Iberoam. 11 (1995), no. 2, pp. 227–245

DOI 10.4171/RMI/171