Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation

2006/10/11 by Jens Habermann, J. Habermann, Habermann, J. +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #math.CA

paper · pdf · doi:10.48550/arxiv.math/0610366

23 pages

arxiv created 2006/10/11 · openalex publication_date 2006/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove partial regularity for minimizers of quasiconvex functionals of the type ∫_Ωf(x,Du) dx with p(x) growth with respect to the second variable. The proof is direct and uses a method of A-harmonic approximation.

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