In this note we shall show that there are obstructions of homotopic and not just of homological nature to the approximability in area of graphs of finite mass by graphs of smooth maps. We shall present a class of closed graphs with finite mass which cannot be approximated weakly and in area by smooth graphs.
Graphs of finite mass which cannot be approximated in area by smooth graphs
GIAQUINTA, Mariano;
1993
Abstract
In this note we shall show that there are obstructions of homotopic and not just of homological nature to the approximability in area of graphs of finite mass by graphs of smooth maps. We shall present a class of closed graphs with finite mass which cannot be approximated weakly and in area by smooth graphs.File in questo prodotto:
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