De Giorgi's phase-field approximation conjecture for the Willmore functional
Let n≥2n\geq 2n≥2 be an integer, let E⊂RnE\subset \mathbb{R}^nE⊂Rn have boundary Σ:=∂E\Sigma:=\partial EΣ:=∂E of class C2C^2C2, and let Ω⊂Rn\Omega\subset \mathbb{R}^nΩ⊂Rn be open. For λ>0\lambda>0λ>0, define ……