Geodesic
New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
Alfonso Romero1 ; Rafael M. Rubio2 ; Juan J. Salamanca3
1 Universidad de Granada, Departamento de Geometría y Topología
2 Universidad de Córdoba, Campus de Rabanales, Departamento de Matemáticas
3 Universidad de Oviedo, Escuela Politécnica de Ingeniería, Departamento de Estadística e I.O.
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 781-794.

Voir la notice de l'article provenant de la source Journal.fi

  A family of nonlinear partial differential equations of divergence form is considered. Each one is the Euler-Lagrange equation of a natural Riemaniann variational problem of geometric interest. New uniqueness results for the entire solutions of these equations on a parabolic Riemaniann manifold of arbitrary dimension are given. In particular, several Moser-Bernstein type theorems are proved.
Keywords: Nonlinear PDE of divergence form, uniqueness of entire solutions, parabolic Riemannian manifold

Alfonso Romero 1 ; Rafael M. Rubio 2 ; Juan J. Salamanca 3

1 Universidad de Granada, Departamento de Geometría y Topología
2 Universidad de Córdoba, Campus de Rabanales, Departamento de Matemáticas
3 Universidad de Oviedo, Escuela Politécnica de Ingeniería, Departamento de Estadística e I.O. 
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     title = {New examples of {Moser{\textendash}Bernstein} type problems for some nonlinear elliptic partial differential equations arising in geometry},
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Alfonso Romero; Rafael M. Rubio; Juan J. Salamanca. New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 781-794. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a12/