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arXiv · 1206.6957

Weighted Sobolev spaces of radially symmetric functions

Roberta Musina
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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.

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Roberta Musina. 2012-06-29. Weighted Sobolev spaces of radially symmetric functions. https://doi.org/10.1007/s10231-013-0348-4

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