Answering a question raised by Y.X. Huang, we prove what follows: if is a bounded smooth domain and , then the mapping is decreasing in and Lipschitz continuous on compact subsets of being the -th power of the best Sobolev constant for the embedding of into L-q (Omega).
On a problem of Huang concerning best constants in Sobolev embeddings
ANELLO, GiovanniPrimo
;
2015-01-01
Abstract
Answering a question raised by Y.X. Huang, we prove what follows: if is a bounded smooth domain and , then the mapping is decreasing in and Lipschitz continuous on compact subsets of being the -th power of the best Sobolev constant for the embedding of into L-q (Omega).File in questo prodotto:
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