Results 61 to 70 of about 726 (137)

Spectrally distinguishing symmetric spaces II

Extracta Mathematicae
The action of the subgroup G2 of SO(7) (resp. Spin(7) of SO(8)) on the Grassmannian space M = SO(7)/(SO(5)×SO(2)) (resp. M = SO(8)/(SO(5)×SO(3)) ) is still transitive. We prove that the spectrum (i.e.
Emilio A. Lauret, Juan S. Rodrı́guez
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Mixed Boundary Value Problem on Hypersurfaces

International Journal of Differential Equations, 2014
The purpose of the present paper is to investigate the mixed Dirichlet-Neumann boundary value problems for the anisotropic Laplace-Beltrami equation divC(A∇Cφ)=f on a smooth hypersurface C with the boundary Γ=∂C in Rn.
R. DuDuchava, M. Tsaava, T. Tsutsunava
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Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Howard S. Cohl
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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
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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
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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

Location of the axon initial segment assembly can be predicted from neuronal shape

iScience
Summary: The axon initial segment (AIS) is located at the proximal axon demarcating the boundary between axonal and somatodendritic compartments. The AIS facilitates the generation of action potentials and maintenance of neuronal polarity. In this study,
Zhuang Xu, Christopher N. Angstmann, Yuhuang Wu, Holly Stefen, Esmeralda Parić, Thomas Fath, Paul M.G. Curmi   +6 more
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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
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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
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