Boundary behavior and the Martin boundary problem for p harmonic functions in Lipschitz domains

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Regularity and Free Boundary Regularity for the p-Laplace Operator in Reifenberg Flat and Ahlfors Regular Domains (2012, background): “We then recall a number of the results proved in [24], [25], [28] concerning the boundary behaviour for p-harmonic functions in domains which are either Lipschitz, Reifenberg flat or Ahlfors regular NTA-domains.”
Prime ends for domains in metric spaces (2012, methodology): “see that there are two distinct minimal Martin kernels corresponding to each point in the slit (except for the tip). Although, as shown by e.g. Holopainen–Shanmugalingam–Tyson [41] and Lewis–Nystro¨m [51], a Martin boundary can be deﬁned even for nonlinear operators such as the p-Laplacian and its g”
Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator (2010, methodology): “Similar arguments are used to establish Theorem 2.22 which plays a fundamental role in the proof of Theorem 1. As mentioned earlier, the proofs in section 2 use the toolbox developed in [LN, LN1 , LN2].”