Spacelike hypersurfaces in de Sitter space with constant higher-order mean curvature.
Cai, Kairen, Xu, Huiqun (2006)
International Journal of Mathematics and Mathematical Sciences
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Cai, Kairen, Xu, Huiqun (2006)
International Journal of Mathematics and Mathematical Sciences
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João Lucas Marques Barbosa, Ricardo Sa Earp (1997-1998)
Séminaire de théorie spectrale et géométrie
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de Lima, Henrique F., de Lima, Joseilson R. (2009)
International Journal of Mathematics and Mathematical Sciences
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Nicolas Forcadel, Aurélien Monteillet (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove existence of minimizing movements for the dislocation dynamics evolution law of a propagating front, in which the normal velocity of the front is the sum of a non-local term and a mean curvature term. We prove that any such minimizing movement is a weak solution of this evolution law, in a sense related to viscosity solutions of the corresponding level-set equation. We also prove the consistency of this approach, by showing that any minimizing movement coincides with the smooth...
Sven Winklmann (2005)
Annales de l'I.H.P. Analyse non linéaire
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Balgetir, Handan, Ergüt, Mahmut (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Romero, Alfonso, Rubio, Rafael M. (2010)
Journal of Inequalities and Applications [electronic only]
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Barbara Nelli, Harold Rosenberg (1997)
Annales de l'institut Fourier
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We consider graphs of positive scalar or Gauss-Kronecker curvature over a punctured disk in Euclidean and hyperbolic -dimensional space and we obtain removable singularities theorems.