Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904448 | Acta Mathematica Scientia | 2018 | 18 Pages |
Abstract
In this paper we study integer multiplicity rectifiable currents carried by the subgradient (subdifferential) graphs of semi-convex functions on an n-dimensional convex domain, and show a weak continuity theorem with respect to pointwise convergence for such currents. As an application, the structure theorem of the Lagrangian currents for semi-convex functions is given and the k-Hessian measures are calculated by a different method in terms of currents.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Qiang TU, Wenyi CHEN,