The Jenkins–Serrin problem for translating horizontal graphs in M×R
- Eddygledson S. Gama 1
- Esko Heinonen 2
- Jorge H. de Lira 1
- Francisco Martín 2
-
1
Universidade Federal do Ceará
info
-
2
Universidad de Granada
info
ISSN: 0213-2230
Any de publicació: 2021
Volum: 37
Número: 3
Pàgines: 1083-1114
Tipus: Article
Altres publicacions en: Revista matemática iberoamericana
Resum
We prove the existence of horizontal Jenkins–Serrin graphs that are translating solitons of the mean curvature flow in Riemannian product manifolds M×R. Moreover, we give examples of these graphs in the cases of R3 and H2×R.