Results 21 to 30 of about 24,371,794 (246)

Diffusive representations for fractional Laplacian: systems theory framework and numerical issues [PDF]

, 2009
Bridging the gap between an abstract definition of pseudo-differential operators, such as (-\Delta)^{\gamma} for - 1/2 < \gamma < 1/2, and a concrete way to represent them has proved difficult; deriving stable numerical schemes for such operators is not ...
Matignon, Denis
core   +1 more source

Existence of Multiple Weak Solutions to a Discrete Fractional Boundary Value Problem

Axioms, 2023
The existence of at least three weak solutions to a discrete fractional boundary value problem containing a p-Laplacian operator and subject to perturbations is proved using variational methods. Some applications of the main results are presented.
Shahin Moradi, Ghasem A. Afrouzi, John R. Graef   +2 more
doaj   +1 more source

Nonnegative solutions of nonlinear fractional Laplacian equations [PDF]

, 2020
The study of reaction-diffusion equations involving nonlocal diffusion operators has recently flourished. The fractional Laplacian is an example of a nonlocal diffusion operator which allows long-range interactions in space, and it is therefore important
Hollifield, Elliott Z., NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Geometric properties of extremal domains for the $p$-Laplacian operator [PDF]

, 2023
In this paper, we explore the geometric properties of unbounded extremal domains for the $p$-Laplacian operator in both Euclidean and hyperbolic spaces. Assuming that the nonlinearity grows at least as the nonlinearity of the eigenvalue problem, we prove
Cavalcante, Marcos P., Carvalho, Francisco G.   +1 more
core   +1 more source

On the adjoint of a symmetric operator [PDF]

, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S., Nelly Villamizar, CATALISANO, MARIA VIRGINIA, E. CARLINI, Matilde Lalín, Saito, Morihiko, Mauceri G., Fernandes de Oliveira, GM, Yuzvinsky, Sergey, Nero Budur, Vallarino, Maria, PICCIONE, P., Matthias Langer, Behrndt, Jussi, Frank Sottile (7161257), Morihiko Saito, Hynek Kovařík, PEREIRA, Antonio L., M. V. CATALISANO, Budur, Nero, Langer, Matthias, Elisa Postinghel, Stefano Meda, Lotoreichik, Vladimir, JAVALOYES, M. A., Catalisano M.V, Carlini, Enrico, Mauceri, G., Giancarlo Mauceri, Sergey Yuzvinsky, CATALISANO M. V., PEREIRA, Marcone C., Jussi Behrndt, MAUCERI, GIANCARLO, Wadim Zudilin, Veys, Willem, S. Meda, Detchat Samart, M. Vallarino, Catalisano, M.V., G. Mauceri, Frank Sottile, Elisa Postinghel (2887796), BILIOTTI, L., Meda, S., Kovarik, Hynek, Maria Vallarino, Nelly Villamizar (7161260)   +47 more
core   +1 more source

Solutions of nonlinear problems involving p(x)-Laplacian operator

Advances in Nonlinear Analysis, 2015
In the present paper, by using variational principle, we obtain the existence and multiplicity of solutions of a nonlocal problem involving p(x)-Laplacian.
Yücedağ Zehra
doaj   +1 more source

Positive solutions for eigenvalue problems of fractional q-difference equation with ϕ-Laplacian

Advances in Difference Equations, 2021
The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of
Jufang Wang, Changlong Yu, Boya Zhang, Si Wang   +3 more
doaj   +1 more source

Orchestrating Anion–π+ Interactions to Accelerate Metal‐Free Room‐Temperature Phosphorescence

Angewandte Chemie, EarlyView.
Tuning anion–π+ interactions in pyridinium iodide contact ion pairs enables ultrafast metal‐free room‐temperature phosphorescence (540–605 nm) with radiative rates up to 5.2×105 s−1. Strong iodide→π+ charge‐transfer coupling, enhanced spin–orbit interactions, and dynamic ion‐pair organization accelerate intersystem crossing and emission, establishing ...
Eetu Hakkarainen, Corentin Montagne, Hao‐Cheng Lin, Chen‐Yu Lin, Khai‐Nghi Truong, Po‐Yu Chen, Anton Nechaev, Fabien B. L. Cougnon, Igor O. Koshevoy, Toni Eskelinen, Hao‐Wu Lin, Pi‐Tai Chou, Andrey Belyaev   +12 more
wiley   +2 more sources

Quadrature domains and p-Laplacian growth [PDF]

, 2009
The classical Hele-Shaw (Laplacian-growth) problem is generalised to power-law fluids (satisfying the p-Laplace equation) and a number of results are established that are analogous to some of those involving null-quadrature domains in the former.
King, John R., McCue, Scott W.
core   +1 more source

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source