Hodge theory in the Sobolev topology for the de Rham complex / Luigi Fontana, Steven G. Krantz, Marco M. Peloso

In this text, the authors treat the full Hodge theory for the de Rham complex when calculated in the Sobolev topology rather than in the L2 topology, giving rise to a new class of elliptic boundary value problems. The study takes place on both the upper half space and on a smoothly bounded domain.