Note on the topological degree of the subdifferential of a lower semi-continuous convex function

Aizicovici, Sergiu; Chen, Yuqing

doi:10.1090/S0002-9939-98-04529-8

Note on the topological degree of the subdifferential of a lower semi-continuous convex function
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by Sergiu Aizicovici and Yuqing Chen PDF

Proc. Amer. Math. Soc. 126 (1998), 2905-2908 Request permission

Abstract:

The purpose of the present paper is to prove that the topological degree of the subdifferential of a coercive lower semi-continuous function on a sufficiently large ball in a reflexive Banach space is equal to one.

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