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.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 170:(2018), pp. 1-20. [10.1016/j.na.2017.12.007]
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),pFile in questo prodotto:
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