1 citations · 2 across the 4 of their papers we have counts for
5 papers
A gradient descent akin method for inequality constrained optimization
Long Chen, Wenyi Chen, Kai-Uwe Bletzinger
We propose a first-order method for solving inequality constrained optimization problems. The method is derived from our previous work [12], a modified search direction method (MSD…
Optimal function spaces for the weak continuity of the distributional -Hessian
Qiang Tu, Wenyi Chen
In this paper we introduce the notion of distributional -Hessian associated with Besov type functions in Euclidean -space, . Particularly, inspired by recent wo…
Characterizations of the BMO and Lipschitz spaces via commutators on weak Lebesgue and Morrey spaces
Dinghuai Wang, Jiang Zhou, Wenyi Chen
We prove that the weak Morrey space is contained in the Morrey space for . As applications, we show that if the commutator…
Another characterizations of Muckenhoupt class
Dinghuai Wang, Jiang Zhou
This manuscript addresses Muckenhoupt weight theory in connection to Morrey and BMO spaces. It is proved that belongs to Muckenhoupt class, if and only if Hardy…
Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measure
Qiang Tu, Wenyi Chen
In this paper we study integer multiplicity rectifiable currents carried by the subgradient (subdifferential) graphs of semi-convex functions on a -dimensional convex domain, an…