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.
Some connections between results and problems of De Giorgi, Moser and Bangert / H. Junginger-Gestrich, E. Valdinoci. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. - ISSN 0044-2275. - 60:3(2009), pp. 393-401.
Some connections between results and problems of De Giorgi, Moser and Bangert
E. ValdinociPrimo
2009
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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