Some connections between results and problems of De Giorgi, Moser and Bangert |
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| Authors: | Hannes Junginger-Gestrich Enrico Valdinoci |
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| Affiliation: | 1. Mathematisches Institut, Abteilung für Reine Mathematik, Albert-Ludwigs-Universit?t Freiburg, Eckerstra?e 1, 79104, Freiburg im Breisgau, Germany
2. Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133, Roma, Italy
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| Abstract: | 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. The work of Enrico Valdinoci was supported by MIUR Variational Methods and Nonlinear Differential Equations. Diese Zusammenarbeit wurde bei einem sehr angenehmen Besuch von EV in Freiburg begonnen. |
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| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 35J20 35A15 |
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