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Some examples of rank one convex functions in dimension two

Dacorogna, B. ; Douchet, J. ; Gangbo, W. ; Rappaz, J.

In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990, vol. 114, no. 1-2, p. 135-150

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    Titel
    • Some examples of rank one convex functions in dimension two
    Autor
    • Dacorogna, B.. Département de Mathématiques, E.P.F.L., 1015 Lausanne, Switzerland
    • Douchet, J.. Département de Mathématiques, E.P.F.L., 1015 Lausanne, Switzerland
    • Gangbo, W.. Département de Mathématiques, E.P.F.L., 1015 Lausanne, Switzerland
    • Rappaz, J.. Département de Mathématiques, E.P.F.L., 1015 Lausanne, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990, vol. 114, no. 1-2, p. 135-150. Royal Society of Edinburgh Scotland Foundation
    Andere elektronische Ausgabe
    Klassifikation
    • Gesundheit
    OAI-PMH-ID
    • oai:doc.rero.ch:292521
    Summary
    We study the rank one convexity of some functions f(ξ) where ξ is a 2 × 2 matrix. Examples such as |ξ|2α + h(detξ) and | ξ |2α (| ξ |2 − γdet ξ) are investigated. Numerical computations are done on the example of Dacorogna and Marcellini, indicating that this function is quasiconvex