Displaying similar documents to “A short remark on energy functionals related to nonlinear Hencky materials.”

Everywhere regularity for vectorial functionals with general growth

Elvira Mascolo, Anna Paola Migliorini (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We prove Lipschitz continuity for local minimizers of integral functionals of the Calculus of Variations in the vectorial case, where the energy density depends explicitly on the space variables and has general growth with respect to the gradient. One of the models is F u = ∫ Ω a ( x ) [ h | D u | ] p ( x ) d x with h a convex function with general growth (also exponential behaviour is allowed).

Regularity results for a class of obstacle problems

Michela Eleuteri (2007)

Applications of Mathematics

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We prove some optimal regularity results for minimizers of the integral functional ∫ f ( x , u , D u ) d x belonging to the class K : = { u ∈ W 1 , p ( Ω ) u ≥ ψ } , where ψ is a fixed function, under standard growth conditions of p -type, i.e. L - 1 | z | p ≤ f ( x , s , z ) ≤ L ( 1 + | z | p ) .

A regularity result for a convex functional and bounds for the singular set

Bruno De Maria (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we prove a regularity result for local minimizers of functionals of the Calculus of Variations of the type ∫ Ω f ( x , D u ) d x where Ω is a bounded open set in ℝ n , u ∈ W loc 1 , p (Ω; ℝ N ), p > 1, n