Gradient bounds for harmonic functions lipschitz on the boundary
G. N. Hile, Alexander Stanoyevitch · Applicable Analysis · 1999
We estimate the magnitude of the gradient of the solution to the Dirichlet problem, with Lipschitz boundary data, for the Laplace equation on a bounded domain ω in . Under certain regularity assumptions on ∂ω, for xεω we established the estimate where M is the Lipschitz constant of the boundary data