Lasry-Lions regularization and a lemma of Ilmanen
Levitin-Polyak well-posedness for equilibrium problems with functional constraints.
Local and global -cone porosity
Logarithmic functional mean in convex analysis.
Long-term planning versus short-term planning in the asymptotical location problem
Given the probability measure over the given region , we consider the optimal location of a set composed by points in in order to minimize the average distance (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...
Long-term planning versus short-term planning in the asymptotical location problem
Given the probability measure ν over the given region , we consider the optimal location of a set Σ composed by n points in Ω in order to minimize the average distance (the classical optimal facility location problem). The paper compares two strategies to find optimal configurations: the long-term one which consists in placing all n points at once in an optimal position, and the short-term one which consists in placing the points one by one adding at each step at most one point and preserving...