Geodesic
Abstract Subdifferential Calculus and Semi-Convex Functions
Serdica Mathematical Journal, Tome 23 (1997) no. 1, pp. 35-58.

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We develop an abstract subdifferential calculus for lower semicontinuous functions and investigate functions similar to convex functions. As application we give sufficient conditions for the integrability of a lower semicontinuous function.
Keywords: Nonsmooth Calculus, Subdifferential, Integrability 
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Ivanov, Milen; Zlateva, Nadia. Abstract Subdifferential Calculus and Semi-Convex Functions. Serdica Mathematical Journal, Tome 23 (1997) no. 1, pp. 35-58. http://geodesic.mathdoc.fr/item/SMJ2_1997_23_1_a3/