Results 81 to 90 of about 550,253 (159)

LAPLACE-BELTRAMI OPERATOR OF A HELICOIDAL HYPERSURFACE IN FOUR-SPACE

, 2016
We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface.
Guler, Erhan, Yayli, Yusuf, Magid, Martin   +2 more
core   +1 more source

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

, 2023
An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere. The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented.
Dosmagulova, Karlygash, Kanguzhin, Baltabek   +1 more
core  

Remarks on equivariant asymptotics for complexified toric eigenfunction

Pracì Mìžnarodnogo Geometričnogo Centru
The eigenfunctions of the Laplace-Beltrami operator on a real-analytic Riemannian manifold admit a symultaneous holomorphic extension to a sufficiently small Grauert tube.
Simone Gallivanone, Roberto Paoletti
doaj   +1 more source

Existence, symmetry, and regularity of ground states of a nonlinear Choquard equation in the hyperbolic space

Advances in Nonlinear Analysis
In this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
doaj   +1 more source

On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces

, 2011
Discrete Laplace Beltrami operators on polyhedral surfaces play an important role for various applications in geometry processing and related areas like physical simulation or computer graphics. While discretizations of the weak Laplace Beltrami operator
Hildebrandt, Klaus, Polthier, Konrad
core   +1 more source

Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. [PDF]

Numer Math (Heidelb), 2019
Burman E, Hansbo P, Larson MG, Larsson K, Massing A.   +4 more
europepmc   +1 more source

A novel cortical thickness estimation method based on volumetric Laplace-Beltrami operator and heat kernel. [PDF]

Med Image Anal, 2015
Wang G, Zhang X, Su Q, Shi J, Caselli RJ, Wang Y, Alzheimer’s Disease Neuroimaging Initiative.   +6 more
europepmc   +1 more source

Existence and asymptotic behavior of solutions for Henon equations in hyperbolic spaces

Electronic Journal of Differential Equations, 2013
In this article, we consider the existence and asymptotic behavior of solutions for the Henon equation $$\displaylines{ -\Delta_{\mathbb{B}^N}u=(d(x))^{\alpha}|u|^{p-2}u, \quad x\in \Omega\cr u=0 \quad x\in \partial \Omega, }$$ where ...
Haiyang He, Wei Wang
doaj  

A residual a posteriori error estimator for the eigenvalue problem for the Laplace-Beltrami operator [PDF]

, 2006
The Laplace-Beltrami operator corresponds to the Laplace operator on curved surfaces. In this paper, we consider an eigenvalue problem for the Laplace-Beltrami operator on subdomains of the unit sphere in $\R^3$.
Pester, Cornelia
core  

Nonlinear subelliptic Schrodinger equations with external magnetic field

Electronic Journal of Differential Equations, 2004
To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator $frac 1i d$ in the subelliptic symbol by $frac 1i d-alpha$, where ...
Kyril Tintarev
doaj