Some connections between results and problems of De Giorgi, Moser and Bangert

Details Some connections between results and problems of De Giorgi, Moser and Bangert Some connections between results and problems of De Giorgi, Moser and Bangert

2007-07-23

arxiv.org/abs/0707.3327v1

Mathematics

Analysis of PDEs

12 pages, 2 figures

Scientific paper

10.1007/s00033-008-7093-3

Using theorems of Bangert, we prove a rigidity result which shows how a
question raised by Bangert for elliptic integrands of Moser type is connected,
in the case of minimal solutions without self-intersections, to a famous
conjecture of De Giorgi for phase transitions.

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