The Dirichlet Problem of the Constant Mean Curvature in Equation in Lorentz-Minkowski Space and in Euclidean Space
Metadatos
Afficher la notice complèteAuteur
López Camino, RafaelEditorial
MDPI
Materia
Euclidean space Lorentz-Minkowski space Dirichlet problem Mean curvature Maximum principle
Date
2019-12-09Referencia bibliográfica
López, R. (2019). The Dirichlet Problem of the Constant Mean Curvature in Equation in Lorentz-Minkowski Space and in Euclidean Space. Mathematics, 7(12), 1211.
Patrocinador
This research was partially supported by grant No. MTM2017-89677-P,MINECO/AEI/FEDER, UERésumé
We investigate the differences and similarities of the Dirichlet problem of the mean
curvature equation in the Euclidean space and in the Lorentz-Minkowski space. Although the
solvability of the Dirichlet problem follows standards techniques of elliptic equations, we focus in
showing how the spacelike condition in the Lorentz-Minkowski space allows dropping the hypothesis
on the mean convexity, which is required in the Euclidean case.