We compute the best constants in some dilation invariant inequalities for the weighted L2-norms of −∆u and \nabla u, with weights being powers of the distance from the origin.
A class of second-order dilation invariant inequalities
CALDIROLI, Paolo;
2013-01-01
Abstract
We compute the best constants in some dilation invariant inequalities for the weighted L2-norms of −∆u and \nabla u, with weights being powers of the distance from the origin.
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