Results 91 to 100 of about 550,301 (203)

Discrete Laplace-Beltrami operator on sphere and optimal spherical triangulations

, 2004
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modified discrete Laplace Beltrami operator over the triangulated spheres.
Guoliang Xu
core  

On the Laplace–Beltrami operator on compact complex spaces

Transactions of the American Mathematical Society, 2019
Let ( X , h ) (X,h)
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Discrete Laplace–Beltrami operators for shape analysis and segmentation

Computers & Graphics, 2009
The convergence property of the discrete Laplace-Beltrami operators is the foundation of convergence analysis of the numerical simulation process of some geometric partial differential equations which involve the operator. In this paper we propose several simple discretization schemes of Laplace-Beltrami operators over triangulated surfaces ...
Martin Reuter 0001, Silvia Biasotti, Daniela Giorgi, Giuseppe Patanè 0001, Michela Spagnuolo   +4 more
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Well-Posed Problems for the Laplace–Beltrami Operator

Symmetry
Here, we study boundary value problems for the Laplace–Beltrami operator on a three-dimensional sphere with a circular cut, obtained by removing a smooth closed geodesic from S3 embedded in R4. The presence of the cut introduces singular perturbations of the domain, and we develop an analytical framework to characterize well-posed problems in this ...
Karlygash Dosmagulova, Baltabek Kanguzhin   +1 more
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Hodge dualities on supermanifolds

Nuclear Physics B, 2015
We discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a.
L. Castellani, R. Catenacci, P.A. Grassi
doaj   +1 more source

Eigenspaces of the Laplace-Beltrami operator on a hyperboloid [PDF]

Nagoya Mathematical Journal, 1980
Ever since S. Helgason [4] showed that any eigenfunction of the Laplace-Beltrami operator on the unit disk is represented by the Poisson integral of a hyperfunction on the unit circle, much interest has been arisen to the study of the Poisson integral representation of joint eigenfunctions of all invariant differential operators on a symmetric space X.
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Anisotropic Laplace-Beltrami Operators for Shape Analysis [PDF]

, 2014
International audienceThis paper introduces an anisotropic Laplace-Beltrami operator for shape analysis. While keeping useful properties of the standard Laplace-Beltrami operator, it introduces variability in the directions of principal curvature, giving
Cremers, Daniel, Andreux, Mathieu, Rodola, Emanuele, Aubry, Mathieu   +3 more
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Existence of solutions for critical Henon equations in hyperbolic spaces

Electronic Journal of Differential Equations, 2013
In this article, we use variational methods to prove that for a suitable value of $lambda$, the problem $$displaylines{ -Delta_{mathbb{B}^N}u=(d(x))^{alpha}|u|^{2^{*}-2}u+lambda u, quad ugeq 0,quad uin H_0^1(Omega') }$$ possesses at least one non ...
Haiyang He, Jing Qiu
doaj  

Positive solutions for asymptotically linear Schrödinger equation on hyperbolic space

Advances in Nonlinear Analysis
In this article, we study the following stationary Schrödinger equation on hyperbolic space: −ΔHNu+λu=f(u),x∈HN,N≥3,-{\Delta }_{{{\mathbb{H}}}^{N}}u+\lambda u=f\left(u),\hspace{1.0em}x\in {{\mathbb{H}}}^{N},\hspace{1em}N\ge 3, where ΔHN{\Delta }_ ...
Gao Dongmei, Wang Jun, Wang Zhengping
doaj   +1 more source

Existence of Non-Negative Solutions for Parabolic Problem on Riemannian Manifold

Mathematics
In this paper, we investigate a perturbed parabolic problem involving the Laplace–Beltrami operator on a smooth compact Riemannian manifold M. For a strongly local Dirichlet form in L2(M).
Lamya Almaghamsi, Abdeljabbar Ghanmi, Khaled Kefi   +2 more
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