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Completely positive mappings and mean matrices
Matrix monotone function matrix means Hadamard product com-pletely positive mapping
2011/2/24
Some functions f : R+ → R+ induce mean of positive numbers and the matrix monotonicity gives a possibility for means of positive definite matrices. Moreover,such a function f can define linear mapping...
Existence of translating solutions to the flow by powers of mean curvature on unbounded domains
Dirichlet problem mean curvature flow elliptic equation unbounded domain.
2010/12/7
In this paper, we prove the existence of classical solutions of the Dirichlet problem for a class of quasi-linear elliptic equations on unbounded domains like a cone or a U-type domain in Rn(n ≥ 2). T...