Results 81 to 90 of about 1,100,393 (352)

Optimal control for cooperative systems involving fractional Laplace operators

Journal of Inequalities and Applications, 2021
In this work, the elliptic 2 × 2 $2\times 2$ cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then,
H. M. Serag, Abd-Allah Hyder, M. El-Badawy   +2 more
doaj   +1 more source

Re‐Entrant Super‐Repellent Metallic Structures for Robust Anti‐Icing

Advanced Science, EarlyView.
Breakthrough re‐entrant super‐repellent structures engineered on metals demonstrate unprecedented anti‐icing performances: >600 min icing delay, 1.6 kPa ultralow ice adhesion strength, and 100‐cycle deicing durability. Thermodynamic analysis elucidates novel anti‐icing mechanisms and underlying design principles for exceptional ice‐resistance under ...
Daizhou Li, Lizhong Wang, Rui Peng, Ziyan Song, Zhao Liu, Zhixuan Chang, Hongjun Zhang, Peixun Fan, Minlin Zhong   +8 more
wiley   +1 more source

On localisation of eigenfunctions of the Laplace operator

EMS Surveys in Mathematical Sciences
We prove (i) a simple sufficient geometric condition for localisation of a sequence of first Dirichlet eigenfunctions provided the corresponding Dirichlet Laplacians satisfy a uniform Hardy inequality and (ii) localisation of a sequence of first Dirichlet eigenfunctions for a wide class of elongating horn-shaped domains.
Michiel van den Berg, Dorin Bucur
openaire   +5 more sources

Nanoporous Capillary Gripper for Ultragentle Micro‐Object Manipulation

Advanced Science, EarlyView.
Microscale pick‐and‐place requires low‐pressure handling and controllable adhesion due to the increased fragility and reduced size of components. A capillary gripper with nanoporous surface enables switchable capillary adhesion, achieving ultralow “off‐state” stickiness for reliable micro‐scale pick‐and‐place of delicate objects.
Seong Jae Kim, Taehoon Kim, Hyun Jun Ryu, Ji‐hun Jeong, A. John Hart, Sanha Kim   +5 more
wiley   +1 more source

COMPARATIVE STUDY FOR EDGE DETECTION OF NOISY IMAGE USING SOBEL AND LAPLACE OPERATORS

مجلة كلية التربية للبنات, 2019
Many approaches of different complexity already exist to edge detection in color images. Nevertheless, the question remains of how different are the results when employing computational costly techniques instead of simple ones.
Instructor Sameera A. Abdul-Kader Asst. lecturer Aadel I. Khalil
doaj  

Multifunctional Chiral Halide Perovskites: Advancing Chiro‐Optics, Chiro‐Optoelectronics, and Spintronics

Advanced Science, EarlyView.
This review spotlights key advances in chiral halide perovskite materials and devices, covering device architectures, fabrication methods, and emerging applications like circularly polarized light functions, neuromorphic computing, and spintronics. It explores structure‐property relationships and chirality transfer mechanisms, discusses challenges in ...
Qi Liu, Hui Ren, Qi Wei, Mingjie Li
wiley   +1 more source

Some relations between fractional Laplace operators and Hessian operators

Bruno Pini Mathematical Analysis Seminar, 2011
After recalling the many representations of the fractional Laplace operator and some of its important properties, some recent results (proved in a joint work with Bruno Franchi and Igor Verbitsky) about the relations between the k-Hessian energy of the k-
Fausto Ferrari
doaj  

Laplace operators on the cone of Radon measures

Journal of Functional Analysis, 2015
We consider the infinite-dimensional Lie group $\mathfrak G$ which is the semidirect product of the group of compactly supported diffeomorphisms of a Riemannian manifold $X$ and the commutative multiplicative group of functions on $X$. The group $\mathfrak G$ naturally acts on the space $\mathbb M(X)$ of Radon measures on $X$. We would like to define a
Anatoly Vershik, Anatoly Vershik, Yuri Kondratiev, Eugene Lytvynov   +3 more
openaire   +5 more sources

Synthesis of Perovskite Nanowires and Their Application for Photodetectors

Advanced Science, EarlyView.
1D metal halide perovskite nanowires possess unique properties such as high responsivity under weak light, flexibility, and optical anisotropy. This work reviews key synthesis strategies for perovskite nanowires and arrays, explores structural design and modification approaches to enhance device performance, summarizes representative device metrics ...
Jiajun Guo, Chenyuan Wang, Xin Zhao, Gangjian Hu, Xinren Zhang, Jizhong Jiang, Wei Wei, Liang Shen   +7 more
wiley   +1 more source

Laplace operators on holomorphic Lie algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
doaj   +1 more source