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math.DG2014★ 1 cited
Sobolev spaces of maps and the Dirichlet problem for harmonic maps
Stefano Pigola, Giona Veronelli
In this paper we prove the existence of a solution to the Dirichlet problem for harmonic maps into a geodesic ball on which the squared distance function from the origin is strictl…
math.DG2014
The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
Batu Güneysu, Stefano Pigola
We introduce the concept of Calderón-Zygmund inequalities on Riemannian manifolds. For , these are inequalities of the form $$ \left\Vert \mathrm{Hess}\left( u\right) \…