We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then, we discuss the existence of extremals, and in some cases, we compute the best constants.

Weighted Sobolev spaces of radially symmetric functions

Musina, Roberta
2013-01-01

Abstract

We prove dilation invariant inequalities involving radial functions, poliharmonic operators and weights that are powers of the distance from the origin. Then, we discuss the existence of extremals, and in some cases, we compute the best constants.
2013
193
1629
1659
Musina, Roberta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32147
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