Journal of Mathematical Sciences

, Volume 211, Issue 4, pp 542–578 | Cite as

Compact Subdifferentials in Banach Spaces and Their Applications to Variational Functionals



We develop a theory of sublinear operators with compact values. Then, based on this theory, we construct a theory of first-order compact subdifferentials for maps in Banach spaces. The results are applicable to the calculation of compact subdifferentials of variational functionals with nonsmooth Lagrangians.


Banach Space Radon Composition Operator Normed Cone Convex Analysis 


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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Vernadskii Tavria National UniversitySimferopolUkraine

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