Variational problem in Euclidean space with density

Lakehal Belarbi; Mohamed Belkhelfa

Conference Proceedings

Variational problem in Euclidean space with density

Belarbi L
Belkhelfa M

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2013) 8085 LNCS 257-264

DOI: 10.1007/978-3-642-40020-9_27

3Citations

4Readers

Get full text

Abstract

In this paper, we study the Plateau's problem in ℝ3 with density and we give prove that divφ N = -2Hφ in a Riemannian manifold double-struck M3 with density Ψ = e φ, where Hφ and N are the φ-mean curvature and the unit normal vector field of a surface S in double-struck M3 with density. © 2013 Springer-Verlag.

Author supplied keywords

Manifolds with density
Plateau problem
minimal surfaces

Cite

CITATION STYLE

APA

Belarbi, L., & Belkhelfa, M. (2013). Variational problem in Euclidean space with density. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8085 LNCS, pp. 257–264). https://doi.org/10.1007/978-3-642-40020-9_27

Variational problem in Euclidean space with density

Abstract

Author supplied keywords

Cite

Register to see more suggestions