Boundary behaviour for p-harmonic functions in Lipschitz and starlike Lipschitz ring domains

By John L. Lewis, Kaj Nyström. 2007

80 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9244f259d571bdde04f151b8c3670fda3af0b373

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In Applied Mathematics

1. Kaj Nyström
2. John L. Lewis
3. Verena Bogelein
4. Frank Duzaar
5. Giuseppe Mingione
6. S. Hofmann
7. J. M. Martell
8. Sun-Sig Byun

In Geometry and Topology

1. Kaj Nyström
2. John L. Lewis

Citations in the corpus

• The p-capacitary Orlicz–Hadamard variational formula and Orlicz–Minkowski problems (2017, unknown): “or its closure, for instance, hΩ(u) = sup x∈Ω hx,ui = hΩ(u) for u∈ Sn−1. 6 There exists the p-capacitary measure of Ω ∈ C0, denoted by µp(Ω,·), on Sn−1 such that for any Borel set Σ ⊂ Sn−1 (see e.g., [26, 28, 29]), µp(Ω,Σ) = Z g−1(Σ) k∇UΩkp dH n−1, (2.11) where g−1 : Sn−1 → ∂Ω is the inverse Gauss m”
• Regularity and Free Boundary Regularity for the p-Laplace Operator in Reifenberg Flat and Ahlfors Regular Domains (2012, methodology): “Unfortunately the proof of nontangential limits for ∇u in [24], [26] relies heavily on the fundamental inequality (1.”