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 / M. GIAQUINTA; G. MODICA; J. SOUCEK. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 78:(1993), pp. 259-271. [10.1007/BF02599312]

Graphs of finite mass which cannot be approximated in area by smooth graphs

GIAQUINTA, MARIANO;MODICA, GIUSEPPE;
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.
1993
78
259
271
M. GIAQUINTA; G. MODICA; J. SOUCEK
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/347023
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