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 Cet article a éte moissonné depuis la source Journal.fi

Voir la notice de l'article

  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. 
@article{AFM_2021_46_2_a12,
     author = {Alfonso Romero and Rafael M. Rubio and Juan J. Salamanca},
     title = {New examples of {Moser{\textendash}Bernstein} type problems for some nonlinear elliptic partial differential equations arising in geometry},
     journal = {Annales Fennici Mathematici},
     pages = {781--794},
     year = {2021},
     volume = {46},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a12/}
}
TY  - JOUR
AU  - Alfonso Romero
AU  - Rafael M. Rubio
AU  - Juan J. Salamanca
TI  - New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
JO  - Annales Fennici Mathematici
PY  - 2021
SP  - 781
EP  - 794
VL  - 46
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a12/
LA  - en
ID  - AFM_2021_46_2_a12
ER  - 
%0 Journal Article
%A Alfonso Romero
%A Rafael M. Rubio
%A Juan J. Salamanca
%T New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
%J Annales Fennici Mathematici
%D 2021
%P 781-794
%V 46
%N 2
%U http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a12/
%G en
%F AFM_2021_46_2_a12
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/