Remarks on convexity in dimension (2, 2)

• Autorzy: Kryński W.
• Języki publikacji: EN

Abstrakty

EN

We consider different convexity notions for functions F: K^2x2 → R. We give a new characterisation of polyconvexity and a sufficient condition for quasiconvexity.

Słowa kluczowe

EN

polyconvexity; quasiconvexity

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 3-4
• Strony: 207--211
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kryński W.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland,

Bibliografia

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• [7] T. Iwaniec and J. Kristensen, A construction of quasiconvex functions, Riv. Mat. Univ. Parma (7) 4* (2005), 75-89.
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• [11] —, Quasiconvex functions with subquadratic growth, Proc. Roy. Soc. London Ser. A 433 (1991), 723-725.