Potential theory on Lipschitz domains in Riemannian manifolds: L^P Hardy, and Holder space results

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On the Robin Boundary Condition for Laplace's Equation in Lipschitz Domains (2005, background): “However, it has been established that − 12 I + K∗ is a Fredholm operator with index zero on Lp for 1 p 2+ (see Verchota, 1984, for p = 2, and Dahlberg and Kenig, 1987 or Mitrea and Taylor, 2001, for 1 p 2+ ).”
The Stationary Navier-Stokes System in Nonsmooth Manifolds: The Poisson Problem in Lipschitz and C1 Domains (2004, background): “This program has produced [40], [42], [43], [44], [45], and [46].”
Boundary Value Problems, Weyl Functions, and Differential Operators (2020, methodology): “In this context we also mention the papers [585, 586, 587, 588] by Mitrea and Taylor for general layer potential methods in Lipschitz domains on Riemannian manifolds.”
Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks (2010, background): “By contrast, it is known that in the framework of the usual Sobolev spaces H(Ω), the smoothness of the solution of (1) is bounded [27, 38, 40, 45, 43, 67, 68, 69].”