Let E0⊂Rn be a minimal set with mean curvature in LnLn that is a minimum of the functional E↦P(E,Ω)+∫E∩ΩH, where Ω⊂Rn is open and H∈Ln(Ω). We prove that if 2≤n≤7 then ∂E0 can be parametrized over the (n−1)-dimensional disk with a C0,α mapping with C0,α inverse
Regularity for minimal boundaries in R^n with mean curvature in L^n
PAOLINI, EMANUELE
1998-01-01
Abstract
Let E0⊂Rn be a minimal set with mean curvature in LnLn that is a minimum of the functional E↦P(E,Ω)+∫E∩ΩH, where Ω⊂Rn is open and H∈Ln(Ω). We prove that if 2≤n≤7 then ∂E0 can be parametrized over the (n−1)-dimensional disk with a C0,α mapping with C0,α inverseFile in questo prodotto:
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