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math.FA2013★ 1 cited
Compactness of higher-order Sobolev embeddings
Lenka Slavíková
We study higher-order compact Sobolev embeddings on a domain endowed with a probability measure and satisfying certain isoperimetric inequality. Given…
math.FA2013
Higher-order Sobolev embeddings and isoperimetric inequalities
Andrea Cianchi, Luboš Pick, Lenka Slavíková
Optimal higher-order Sobolev type embeddings are shown to follow via isoperimetric inequalities. This establishes a higher-order analogue of a well-known link between first-order S…