The Jenkins–Serrin problem for translating horizontal graphs in M×R

  1. Eddygledson S. Gama 1
  2. Esko Heinonen 2
  3. Jorge H. de Lira 1
  4. Francisco Martín 2
  1. 1 Universidade Federal do Ceará
    info

    Universidade Federal do Ceará

    Fortaleza, Brasil

    ROR https://ror.org/03srtnf24

  2. 2 Universidad de Granada
    info

    Universidad de Granada

    Granada, España

    ROR https://ror.org/04njjy449

Aldizkaria:
Revista matemática iberoamericana

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.