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

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.

12 pages, 2 figures

References in corpus (1)

• A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces

Cited by in corpus (1)

• A Morse type uniqueness theorem for non-parametric minimizing hypersurfaces