On the relation between minimizers of a Γ-limit energy and optimal lifting in BV-space

We study the minimizers of an energy functional which is obtained as the Γ-limit of a family of functionals depending on a small parameter ε > 0, associated with a function u ∈ BV(Ω, S1) and a positive parameter p. We find necessary and sufficient conditions on p and the dimension under which these minimizers coincide with the optimal liftings of u, for every u ∈ BV(Ω, S1)

The 'mechanism' of human cognitive variation

The theory of psychosis and autism as diametrical disorders offers a tractable and testable view of normal and abnormal human cognitive variation as a function of opposing traits grouped by their selection for maternal and paternal reproductive fitness. The theory could be usefully rooted and developed with reference to the lower-level perceptual and attentional phenomena from which social cognitive modules are developmentally refined

On Singular Liouville Systems

A Tribute to Bernhard Ruf on the Occasion of his 60th Birthda

On Singular Liouville Systems

A Tribute to Bernhard Ruf on the Occasion of his 60th Birthda