Rendiconti del Circolo Matematico di Palermo

, Volume 50, Issue 3, pp 405–414 | Cite as

Almost everywhere convex functions on R n and weak derivatives



The classical subdifferential calculus is a useful tool in order to establish characterizations of convex functions and optimality conditions; but it becomes useless when one thinks to study almost everywhere convex functions. In this paper by using Sobolev space theory we give some characterizations of this class of functions.


Convex Function Previous Theorem Nonsmooth Optimization Sufficient Optimality Condition Weak Derivative 
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Copyright information

© Springer 2001

Authors and Affiliations

  1. 1.Faculty of Political SciencesUniversity of MilanMilanoItaly
  2. 2.Faculty of EconomicsUniversity of InsubriaVareseItaly

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