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
On the convergence of nonlinear Beltrami type operators
Le Matematiche, 1986 One of the results proved is the following: if (fh ) is a sequence of K-quasiregular mappings, converging to f in L1loc , whose jacobians verify a weak integrability condition, then the solutions of Dirichlet problems for the nonlinear Laplace-Beltrami ...
Riccardo De Arcangelis
doaj
Discreteness of the spectrum of the Laplace-Beltrami operator
, 2007 We propose simple conditions equivalent to the discreteness of the spectrum of the Laplace-Beltrami operator on a class of Riemannian manifolds close to warped products. For this class of manifolds we establish a relationship between discreteness of the spectrum and stochastic incompleteness.
openaire +2 more sources
Diffusion-Shock PDEs for Deep Learning on Position-Orientation Space. [PDF]
J Math Imaging VisSherry FM, Schaefer K, Duits R.
europepmc +1 more source
Invariance Principle for Lifts of Geodesic Random Walks. [PDF]
J Theor ProbabJunné J, Redig F, Versendaal R.
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Pocket-Surface Discrete Differential Geometry as a Leakage-Robust Feature Class for Protein-Ligand Binding Affinity Prediction. [PDF]
MoleculesBalcı MA +3 more
europepmc +1 more source
SRE-FMaps: A Sinkhorn-Regularized Elastic Functional Map Framework for Non-Isometric 3D Shape Matching. [PDF]
J ImagingZhang D, Zhang Y, Wang N, Zhao D.
europepmc +1 more source
TetCNN: Convolutional Neural Networks on Tetrahedral Meshes. [PDF]
Inf Process Med Imaging, 2023 Farazi M, Yang Z, Zhu W, Qiu P, Wang Y.
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