Journal of Convex Analysis 32 (2025), No. 2, 565--577
Copyright Heldermann Verlag 2025
Some Remarks on Convexity
Paolo Marcellini
Dipartimento di Matematica e Informatica "U. Dini", Università di Firenze, Italy
paolo.marcellini@unifi.it
This paper deals with some properties of convex functions and their applications to problems of the calculus of variations, both in the convex case, where Rockafellar is one of the main experts in the world, and also in the quasiconvex case, a field which still is not completely understood.
Keywords: Convex functions, Lipschitz continuous functions, quasiconvex functions, calculus of variations, elliptic systems, p,q-growth conditions.
MSC: 26B25, 49J05; 49N60, 49J99.
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