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Sharp constants in several inequalities on the Heisenberg group
Sharp constants in several inequalities Heisenberg group
2010/12/1
We derive the sharp constants for the inequalities on the Heisenberg group Hn whose analogues on Euclidean space Rn are the well known Hardy-Littlewood- Sobolev inequalities. Only one special case had...
Sharp Constants for Some Inequalities Connected to the $p$-Laplace Operator
$p$-Poisson $p$-Laplace Inequalities Sharp constants Structure conditions
2008/6/26
In this paper we investigate a set of structure conditions used in the existence theory of differential equations. More specific, we find best constants for the corresponding inequalities in the speci...