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
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1
Universidade Federal do Ceará
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2
Universidad de Granada
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ISSN: 0213-2230
Argitalpen urtea: 2021
Alea: 37
Zenbakia: 3
Orrialdeak: 1083-1114
Mota: Artikulua
Beste argitalpen batzuk: Revista matemática iberoamericana
Laburpena
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.