Results 71 to 80 of about 550,253 (159)

Applications of a Laplace–Beltrami operator for Jack polynomials [PDF]

, 2012
An explicit computation is made for a Laplace–Beltrami type operator for Jack polynomials. As applications we obtain: combinatorial formula, determinantal formula and raising operator formula for Jack polynomials, as well as an iterative formula for the ...
Cai, Wuxing, Jing, Naihuan
core   +1 more source

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

The Berezin transform and Laplace–Beltrami operator [PDF]

, 2007
We study the Berezin transform of bounded operators on the Bergman space on a bounded symmetric domain Ω in Cn. The invariance of range of the Berezin transform with respect to G=Aut(Ω), the automorphism group of biholomorphic maps on Ω, is derived based
Li, Bo
core   +1 more source

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
core   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source