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Displaying similar documents to “Everywhere regularity for vectorial functionals with general growth”

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 n , u W loc 1 , p (Ω; N ), p > 1, n