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Stability of Critica of Parametric Elliptic Functionals
We study the stability of noncompact critica of parametric elliptic functionals with a volume constraint. Let F : U ⊂ S → R be a smooth function. For a smooth, oriented hypersurface X : Σ → E whose Gauss map ν : Σ → S is assumed to lie in U , we define the functional FΛ(X) = ∫ Σ F (ν)dΣ + ΛV (X), Λ ∈ R, (1) where V (X) denotes the algebraic n + 1 dimensional volume enclosed by X, V (X) := 1 n +...
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ژورنال
عنوان ژورنال: Exemplaria Classica
سال: 2018
ISSN: 2173-6839,1699-3225
DOI: 10.33776/ec.v22i0.3487