Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains

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Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains (2007, methodology): “) It follows from the characterization stated above that there is not a corresponding extension of the use of transverse vector fields to a class of domains bigger than the class of strongly Lipschitz domains, so one will need to seek other methods to add to (a) and (b) to tackle elliptic boundary p”
Boundary value problems for the Stokes system in arbitrary Lipschitz domains (2011, background): “As shown in [41], for a class of domains containing those which are Lipschitz, there exists C = C(Ω) > 0 such that, for every measurable function v : Ω→ R, ∫ Oδ |v(x)| dx ≤ Cδ ∫”
On the regularity of domains satisfying a uniform hour–glass condition and a sharp version of the Hopf–Oleinik boundary point principle (2011, background): “Examples of categories of domains with analytic and geometric measure theoretic characteristics are specifically designed to meet the demands and needs of work in the aforementioned fields include the class of nontangentially accessible domains introduced by Jerison and Kenig [1] (nontangentially ac”