We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations ∫Ωf(x,Du(x))dx,u:Ω⊂Rn→SN−1,with growth conditions of (p,q)-type: |ξ|p≤f(x,ξ)≤C(|ξ|q+1),p

Higher integrability for constrained minimizers of integral functionals with (p,q)-growth in low dimension

De Filippis C.
2018-01-01

Abstract

We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations ∫Ωf(x,Du(x))dx,u:Ω⊂Rn→SN−1,with growth conditions of (p,q)-type: |ξ|p≤f(x,ξ)≤C(|ξ|q+1),p
2018
170
1
20
https://www.sciencedirect.com/science/article/pii/S0362546X17303073?via=ihub
(p,q)-growth; Constrained minimizers; Difference quotients; Finite difference operators; Fractional Sobolev spaces; Integral functionals
De Filippis C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1786815
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