Results 71 to 80 of about 1,215,177 (342)

On the Minimization of Dirichlet Eigenvalues of the Laplace Operator [PDF]

open access: yesJournal of Geometric Analysis, 2011
We study the variational problem $$\inf \{λ_k(Ω): Ω \textup{open in}\ \R^m,\ |Ω| < \infty, \ \h(\partial Ω) \le 1 \},$$ where $λ_k(Ω)$ is the $k$'th eigenvalue of the Dirichlet Laplacian acting in $L^2(Ω)$, $\h(\partial Ω)$ is the $(m-1)$- dimensional Hausdorff measure of the boundary of $Ω$, and $|Ω|$ is the Lebesgue measure of $Ω$.
M. Iversen, M. van den Berg
openaire   +3 more sources

Locking Metastable Topological Domains in Nematic Liquid Crystal Pi Cells

open access: yesAdvanced Functional Materials, EarlyView.
Selective photopolymerization in the presence of a controlled voltage defines permanent director walls that lock‐in metastable bend and twist configurations within nematic liquid crystal Pi cells. Q‐tensor simulations corroborate the experiments, demonstrating the topological state stabilization.
Adithya Pradeep   +7 more
wiley   +1 more source

LORETA With Cortical Constraint: Choosing an Adequate Surface Laplacian Operator

open access: yesFrontiers in Neuroscience, 2018
Low resolution electromagnetic tomography (LORETA) is a well-known method for the solution of the l2-based minimization problem for EEG/MEG source reconstruction. LORETA with a volume-based source space is widely used and much effort has been invested in
Todor Iordanov   +7 more
doaj   +1 more source

Hypergraph Laplace Operators for Chemical Reaction Networks

open access: yes, 2018
We generalize the normalized combinatorial Laplace operator for graphs by defining two Laplace operators for hypergraphs that can be useful in the study of chemical reaction networks. We also investigate some properties of their spectra.Comment: 23 pages,
Jost, Jürgen, Mulas, Raffaella
core   +1 more source

Singular behavior of the Laplace operator in polar spherical coordinates and some of its consequences for the radial wave function at the origin of coordinates [PDF]

open access: yesPhysics of Particles and Nuclei Letters, 2015
Singular behavior of the Laplace operator in spherical coordinates is investigated. It is shown that in course of transition to the reduced radial wave function in the Schrodinger equation there appears additional term consisting the Dirac delta function,
A. Khelashvili, T. Nadareishvili
semanticscholar   +1 more source

Toward Zero‐Excess Alkali Metal Batteries: Bridging Experimental and Computational Insights

open access: yesAdvanced Materials, EarlyView.
This review explores zero‐excess alkali metal batteries, highlighting anode–electrolyte interfaces, metal nucleation, dendrite growth, and SEI formation while comparing Li, Na, and K metals. It critically examines electrolyte and separator roles, emphasizing substrate design, electrolyte modifications, interfacial engineering, and solid‐state ...
Pan He   +6 more
wiley   +1 more source

A general quantum Laplace transform

open access: yesAdvances in Difference Equations, 2020
In this paper, we introduce a general quantum Laplace transform L β $\mathcal{L}_{\beta }$ and some of its properties associated with the general quantum difference operator D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) ${D}_{\beta }f(t)= ({
Enas M. Shehata   +2 more
doaj   +1 more source

Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

open access: yesJournal of Mathematics, 2021
By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented.
Muhammad Taufiq, Marjan Uddin
doaj   +1 more source

Steklov Spectral Geometry for Extrinsic Shape Analysis

open access: yes, 2018
We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis.
Ben-Chen, Mirela   +3 more
core   +1 more source

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