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.
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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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Junginger-Gestrich, H., Valdinoci, E. Some connections between results and problems of De Giorgi, Moser and Bangert. Z. angew. Math. Phys. 60, 393–401 (2009). https://doi.org/10.1007/s00033-008-7093-3
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DOI: https://doi.org/10.1007/s00033-008-7093-3