Results 81 to 90 of about 775 (185)

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
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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
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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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On the Laplace–Beltrami operator on compact complex spaces

Transactions of the American Mathematical Society, 2019
Let ( X , h ) (X,h)
openaire   +3 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  

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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