New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry
Identificadores
URI: https://hdl.handle.net/10481/78199Metadatos
Afficher la notice complèteAuteur
Romero Sarabia, AlfonsoEditorial
Finnish Mathematical Society
Date
2021-08-03Referencia bibliográfica
Romero, A., Rubio, R. M., & Salamanca, J. J. (2021). New examples of Moser–Bernstein type problems for some nonlinear elliptic partial differential equations arising in geometry. Annales Fennici Mathematici, 46(2), 781–794. Retrieved from https://afm.journal.fi/article/view/110589
Résumé
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.