Quantified Legendreness and the regularity of minima (Q6590644)
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scientific article; zbMATH DE number 7899611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantified Legendreness and the regularity of minima |
scientific article; zbMATH DE number 7899611 |
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Quantified Legendreness and the regularity of minima (English)
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21 August 2024
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A new quantification of nonuniform ellipticity in variational problems is proposed by means of convex duality. Higher differentiability and \(2D\)-smoothness results for vector-valued minimizers of possibly degenerate functionals are provided, and several significant special cases are discussed. Earlier results from [\textit{P. Marcellini}, Arch. Ration. Mech. Anal. 105, No. 3, 267--284 (1989; Zbl 0667.49032)] are rediscovered and improved.
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nonuniform ellipticity
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variational problems
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convex duality
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