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1993•Annales de la faculté des sciences de Toulouse MathématiquesOpen access

On the different notions of convexity for rotationally invariant functions

Bernard Dacorogna, Hideyuki Koshigoe

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Abstract

Keywords: rotationally invariant functions ; convexity conditions ; rank-one convexity ; quasi-convexity ; polyconvexity Reference CAA-ARTICLE-1993-001 Record created on 2008-11-25, modified on 2017-05-12

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Keywords: rotationally invariant functions ; convexity conditions ; rank-one convexity ; quasi-convexity ; polyconvexity Reference CAA-ARTICLE-1993-001 Record created on 2008-11-25, modified on 2017-05-12

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OpenAlex reports 29 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Keywords: rotationally invariant functions ; convexity conditions ; rank-one convexity ; quasi-convexity ; polyconvexity Reference CAA-ARTICLE-1993-001 Record created on 2008-11-25, modified on 2017-05-12

Key concepts: Convexity, Invariant (physics), Mathematics, Pure mathematics, Rank (graph theory), Combinatorics, Mathematical analysis, Mathematical physics

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