Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
In this paper we prove new results for p harmonic functions, p = 2, 1 < p < ∞, in Lipschitz and starlike Lipschitz ring domains.In particular we prove the boundary Harnack inequality, Theorem 1, for the ratio of two positive p harmonic functions vanishing on a portion of the …