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A new partial regularity result for non-autonomous convex integrals with non-standard growth conditions

Article ID Journal Published Year Pages File Type
4611461 Journal of Differential Equations 2011 23 Pages PDF
Abstract

We establish C1,γC1,γ-partial regularity of minimizers of non-autono-mous convex integral functionals of the type: F(u;Ω):=∫Ωf(x,Du)dx, with non-standard growth conditions into the gradient variable1L|ξ|p⩽f(x,ξ)⩽L(1+|ξ|q) for a couple of exponents p,qp,q such that1

Keywords
35J5035B65Partial regularity
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A new partial regularity result for non-autonomous convex integrals with non-standard growth conditions
Authors
Bruno De Maria, Antonia Passarelli di Napoli,
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