We show that there exist graphs of Cartesian maps, of finite mass, which cannot be approximated weakly as currents by graphs of smooth maps with equibounded area.
Graphs of finite mass which cannot be approximated bysmooth graphs with equibounded area / Mucci, Domenico. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 152:2(1998), pp. 467-480. [10.1006/jfan.1997.3173]
Graphs of finite mass which cannot be approximated bysmooth graphs with equibounded area
MUCCI, Domenico
1998
Abstract
We show that there exist graphs of Cartesian maps, of finite mass, which cannot be approximated weakly as currents by graphs of smooth maps with equibounded area.
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