Semi-continuity and weak-continuity
Singuläre Integrale mit gemsichten Homogenitäten auf Mannigfaltigkeiten und Anwendungen in der Funktionentheorie.
Smooth bundles of generalized half-densities
Smooth bundles, whose fibres are distribution spaces, are introduced according to the notion of smoothness due to Frölicher. Some fundamental notions of differential geometry, such as tangent and jet spaces, Frölicher-Nijenhuis bracket, connections and curvature, are suitably generalized. It is also shown that a classical connection on a finite-dimensional bundle naturally determines a connection on an associated distributional bundle.
Some remarks about the -Dirichlet integral
We discuss variational problems for the -Dirichlet integral, non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.