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General Growth Conditions and Regularity

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Variational Methods for Discontinuous Structures

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 25))

Abstract

We study the local regularity of minimizers of integral functionals of the calculus of variations of the type

$$ F(v) = \int\limits_{\Omega } f \left( {Dv} \right)dx $$
((1))

where Ω is an open set of ℝn (n > 2), Du is the N × n matrix of the gradient of u: Ω → ℝN and f : ℝN×n → ℝ is a given convex function.

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Authors and Affiliations

  1. Dipartimento di Matematica “U. Dini”, Universita di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy

    Paolo Marcellini

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  1. Paolo Marcellini
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Editors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Pzza. Leonardo da Vinci, 32, I-20133, Milano, Italy

    Raul Serapioni  & Franco Tomarelli  & 

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© 1996 Birkhäuser Verlag Basel/Switzerland

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Marcellini, P. (1996). General Growth Conditions and Regularity. In: Serapioni, R., Tomarelli, F. (eds) Variational Methods for Discontinuous Structures. Progress in Nonlinear Differential Equations and Their Applications, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9244-5_10

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  • DOI: https://doi.org/10.1007/978-3-0348-9244-5_10

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9959-8

  • Online ISBN: 978-3-0348-9244-5

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