Results 171 to 180 of about 302,460 (378)

Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I [PDF]

, 1969
Charles I. Goldstein
openalex   +1 more source

The trace fractional Laplacian and the mid-range fractional Laplacian

Nonlinear Analysis
In this paper we introduce two new fractional versions of the Laplacian. The first one is based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues of the Hessian. The second one comes from looking at the classical fractional Laplacian as the mean value (in the sphere) of the 1-dimensional fractional Laplacians in ...
Julio D. Rossi, Jorge Ruiz-Cases
openaire   +3 more sources

Combining Low‐Valent AlI and SnII Metal Centers for Small Molecule Activation

European Journal of Inorganic Chemistry, EarlyView.
Salt metathesis between AlI and SnII complexes gives an electron‐rich complex with an AlSn bond which can be described as a weak polar bond between AlII and SnI open shell fragments. Electronic structure and reactivity are discussed. The recently discovered class of potassium aluminyl complexes (R2Al−K+) enables facile access to heterobimetallic Al ...
Tristan Löwl, Johannes Maurer, Nil Roig, Jonathan Mai, Jens Langer, Mercedes Alonso, Sjoerd Harder   +6 more
wiley   +1 more source

Oscillatory Property of Solutions for p(t)-Laplacian Equations

Journal of Inequalities and Applications, 2007
We consider the oscillatory property of the following p(t)-Laplacian equations −(|u'|p(t)−2u')'=1/tθ(t)g(t,u), t>0. Since there is no Picone-type identity for p(t)- Laplacian equations, it is an unsolved problem that whether the Sturmian ...
Qihu Zhang
doaj   +1 more source

On the resonances of the Laplacian on waveguides

Journal of Mathematical Analysis and Applications, 2002
The resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed waveguides. An upper bound on the number of resonances near the physical plane is proven. In the absence of resonances, an upper bound is proven for the localised resolvent.
openaire   +3 more sources

Dielectrophoresis Tutorial: Inspired by Hatfield's 1924 Patent and Boltzmann's Theory and Experiments of 1874

ELECTROPHORESIS, EarlyView.
ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley   +1 more source

Inertias of Laplacian matrices of weighted signed graphs

Special Matrices, 2019
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia.
Monfared K. Hassani, MacGillivray G., Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

On Laplacian and Distance Laplacian Spectra of Generalized Fan Graph & a New Graph Class [PDF]

arXiv
Given a graph $G$, the Laplacian matrix of $G$, $L(G)$ is the difference of the adjacency matrix $A(G)$ and $\text{Deg}(G)$, where $\text{Deg}(G)$ is the diagonal matrix of vertex degrees. The distance Laplacian matrix $D^L({G})$ is the difference of the transmission matrix of $G$ and the distance matrix of $G$.
arxiv  

Some sharp bounds on the distance signless Laplacian spectral radius of graphs [PDF]

arXiv, 2013
M. Aouchiche and P. Hansen proposed the distance Laplacian and the distance signless Laplacian of a connected graph [Two Laplacians for the distance matrix of a graph, LAA 439 (2013) 21{33]. In this paper, we obtain three theorems on the sharp upper bounds of the spectral radius of a nonnegative matrix, then apply these theorems to signless Laplacian ...
arxiv  

Eigenvalues of the Laplacian of Riemannian manifolds [PDF]

, 1973
Shûkichi Tanno
openalex   +1 more source