Titlebook: Direct Methods in the Calculus of Variations; Bernard Dacorogna Book 2008Latest edition Springer-Verlag New York 2008 Calculus of Variatio

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Polyconvex, quasiconvex and rank one convex functionses of these generalized notions of convexity are discussed in Section 5.2. In Section 5.3, we give several examples. In particular we show that all the reverse implications are false. Finally, in an appendix (Section 5.4), we gather certain elementary properties of determinants.

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Direct Methods in the Calculus of Variations978-0-387-55249-1Series ISSN 0066-5452 Series E-ISSN 2196-968X

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https://doi.org/10.1007/978-0-387-55249-1Calculus of Variations; Dacorogna; Direct Methods; Variations; calculus; differential equation; minimum; pa

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