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math.AP2024
On generalized Dirichlet integrals in the smooth and in the o-minimal setting
Gian Maria Dall'Ara
Given a compact manifold equipped with smooth vector fields , we consider the generalized Dirichlet energy \[\mathbf{E}(f)= \sum_{j=1}^r\int_M |X_jf|^2\, dm,\]…
math.CV2024
Higher dimensional worm domains
Simone Calamai, Gian Maria Dall'Ara
We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codi…