Hajlasz Piotr, Iwaniec Tadeusz, Maly Jan, Onninen Jani:
Weakly Differentiable Mappings Between Manifolds
American Mathematical Society (United States), 2008
Paperback, 72 pages
ISBN: 9780821840795
ISBN-10: 0821840797
Weakly Differentiable Mappings Between Manifolds
A study of Sobolev classes of weakly differentiable mappings $f:{\mathbb X}\rightarrow {\mathbb Y}$ between compact Riemannian manifolds without boundary. These mappings need not be continuous. They actually possess less regularity than the mappings in ${\mathcal W}^{1,n}({\mathbb X}\,,\, {\mathbb Y})\,$, $n=\mbox{dim}\, {\mathbb X}$.

