ON BOUNDARY PROPERTIES OF SOLUTIONS OF ELLIPTIC EQUATIONS IN MULTIDIMENSIONAL DOMAINS REPRESENTABLE BY MEANS OF THE DIFFERENCE OF CONVEX FUNCTIONS

1988 ◽  
Vol 61 (2) ◽  
pp. 437-460 ◽  
Author(s):  
V Yu Shelepov
1992 ◽  
Vol 45 (1) ◽  
pp. 37-41 ◽  
Author(s):  
J.E. Martínez-legaz ◽  
A. Seeger

We give a formula on the ε−subdifferential of the difference of two convex functions. As a by-product of this formula, one recovers a recent result of Hiriart-Urruty, namely, a necessary and sufficient condition for global optimality in nonconvex optimisation.


2014 ◽  
Vol 59 (8) ◽  
pp. 2277-2282 ◽  
Author(s):  
Tao Pham Dinh ◽  
Hoai Minh Le ◽  
Hoai An Le Thi ◽  
Fabien Lauer

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