REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS

By John L. Lewis, Kaj Nyström. 2008

49 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/9f822313db2dab43da89a8a36b046346501299f2

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1. John L. Lewis
2. Verena Bogelein
3. Kaj Nyström
4. Frank Duzaar
5. S. Hofmann
6. Giuseppe Mingione

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 of Lipschitz free boundaries in two-phase problems for the p-Laplace operator (2010, methodology): “Finally, in [19] several results concerning the boundary behavior of the gradient of a p-harmonic function, vanishing on a portion of the boundary of a Lipschitz or C1-domain, were proved.”