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math.FA2022★ 7 cited
Different degrees of non-compactness for optimal Sobolev embeddings
Jan Lang, Zdeněk Mihula
The structure of non-compactness of optimal Sobolev embeddings of -th order into the class of Lebesgue spaces and into that of all rearrangement-invariant function spaces is qua…
math.CA2022
The eigenvalues and eigenfunctions of the non-linear equation associated to second order Sobolev embeddings
Lyonell Boulton, Jan Lang
We consider the non-linear eigenvalue equations characterizing into Sobolev embeddings of second order for Navier boundary conditions at both ends of a line segment. We…
math.FA2022
Embedding between Lebesgue and weak Lebesgue sequence spaces is strictly singular
Jan Lang, Aleš Nekvinda
Given it is well know that the natural embedding of Lebesgue sequence spaces is strictly singular. In this paper we extend this…