Geodesic
Introduction to sublinear analysis
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 53 (2014), pp. 64-132

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Basing on the notion of compact subdifferentials, we develop a subdifferential calculus of the first and the second orders beyond the Taylor expansion and extremum theory. We introduce and investigate a comprehensive class of subsmooth maps such that the constructed theory is applicable to them. We develop a technique to investigate one-dimensional extremal variational problems with subsmooth Lagrangians (including sufficient conditions). A number of examples are considered. 
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     author = {I. V. Orlov},
     title = {Introduction to sublinear analysis},
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     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2014_53_a2/}
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I. V. Orlov. Introduction to sublinear analysis. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 53 (2014), pp. 64-132. http://geodesic.mathdoc.fr/item/CMFD_2014_53_a2/