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Convexity of certain integrals of the calculus of variations

Dacorogna, B.

In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987, vol. 107, no. 1-2, p. 15-26

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    Title
    • Convexity of certain integrals of the calculus of variations
    Author
    • Dacorogna, B.. Département de Mathématiques, Ecole Polytechnique Féderale, 1015 Lausanne, Switzerland
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987, vol. 107, no. 1-2, p. 15-26. Royal Society of Edinburgh Scotland Foundation
    Other Version
    Classification
    • Health
    OAI-PMH Identifier
    • oai:doc.rero.ch:301214
    Summary
    In this paper we study the convexity of the integral over the space . We isolate a necessary condition on f and we find necessary and sufficient conditions in the case where f(x, u, u′) = a(u)u′2n or g(u) + h(u′)