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- W2068189704 abstract "Answering a question raised by Y.X. Huang, we prove what follows: if $$Omega $$ is a bounded smooth domain and $$p>1$$ , then the mapping $$qmapsto lambda _q|Omega |^frac{p}{q}$$ is decreasing in $$]0,p^*[$$ and Lipschitz continuous on compact subsets of $$]0,p^*[, lambda _q$$ being the $$p$$ -th power of the best Sobolev constant for the embedding of $$W^{1,p}_0(Omega )$$ into $$L^q(Omega )$$ ." @default.
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- W2068189704 date "2014-01-28" @default.
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- W2068189704 title "On a problem of Huang concerning best constants in Sobolev embeddings" @default.
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