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The Regularity Problem of Extremals of Variational Integrals

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Book cover Systems of Nonlinear Partial Differential Equations

Part of the book series: NATO Science Series C: (closed) ((ASIC,volume 111))

Abstract

In these lectures I shall consider the problem of the regularity of functions minimizing a variational integral

$$(u;\Omega )\, = \,\int_\Omega F \left( {x,u\left( x \right),Du\left( x \right)} \right)dx.$$
(0.1)

.

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  1. Istituto di Matematica Applicata, Università Degli Studi di Firenze, 50139, Firenze, Italy

    Mariano Giaquinta

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  1. Mariano Giaquinta
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  1. Department of Mathematics, Heriot-Watt University, Edinburgh, UK

    J. M. Ball

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Giaquinta, M. (1983). The Regularity Problem of Extremals of Variational Integrals. In: Ball, J.M. (eds) Systems of Nonlinear Partial Differential Equations. NATO Science Series C: (closed), vol 111. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7189-9_7

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  • DOI: https://doi.org/10.1007/978-94-009-7189-9_7

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