Compact embeddings of Brézis-Wainger type.

Fernando Cobos; Thomas Kühn; Tomas Schonbek

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In this paper we give a complete answer to the famous gradient problem of C. E. Weil. On an open set G ⊂ R we construct a differentiable function f: G → R for which there exists an open set Ω ⊂ R such that ∇f(p) ∈ Ω for a p ∈ G but ∇f(q) ∉ Ω for almost every q ∈ G. This shows that the Denjoy-Clarkson property does not hold in higher dimensions.

Two-microlocal Besov spaces and wavelets

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Global existence for the discrete diffusive coagulation-fragmentation equations in L1.

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