Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614887 | Journal of Mathematical Analysis and Applications | 2015 | 15 Pages |
Abstract
In this paper we solve the problem of extending continuous functions with nonempty subdifferential at every point of a closed subset A of RnRn to functions with the same property defined in the whole RnRn, keeping the property of outer semicontinuity of the subdifferential, which is a set-valued function. The proof is constructive, and gives us a wide range of possible extensions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Ferrera, J. Gómez Gil,