Results 71 to 80 of about 1,100,393 (352)

Brezis Nirenberg type results for local non-local problems under mixed boundary conditions

open access: yesCommunications in Analysis and Mechanics
In this paper, we are concerned with an elliptic problem with mixed Dirichlet and Neumann boundary conditions that involve a mixed operator (i.e., the combination of classical Laplace operator and fractional Laplace operator) and critical nonlinearity ...
Lovelesh Sharma
doaj   +1 more source

An extension of the estimation for solutions of certain Laplace equations

open access: yesJournal of Inequalities and Applications, 2016
In this paper, by using a new type of Carleman formula with respect to a certain Laplace operator, we estimate the growth property for solutions of certain Laplace equations defined in a smooth cone.
Bin Huang   +2 more
doaj   +1 more source

A computing method for bending problem of thin plate on Pasternak foundation

open access: yesAdvances in Mechanical Engineering, 2020
The governing equation of the bending problem of simply supported thin plate on Pasternak foundation is degraded into two coupled lower order differential equations using the intermediate variable, which are a Helmholtz equation and a Laplace equation. A
Jiarong Gan   +4 more
doaj   +1 more source

On the Dependence on p of the Variational Eigenvalues of the p-Laplace Operator [PDF]

open access: yes, 2015
We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question ...
Marco Degiovanni, M. Marzocchi
semanticscholar   +1 more source

Multifunctional Micro/Nanostructured Interfaces, Fabrication Technologies, Wetting Control, and Future Prospects

open access: yesAdvanced Materials Interfaces, EarlyView.
This review explores recent developments in micro/nanostructured surfaces, with a focus on cavity‐based and reentrant geometries for enhanced liquid repellency and interfacial control. The review discusses fabrication strategies, structural design principles, and application trends, providing a balanced perspective on opportunities and ongoing ...
Seo Rim Park   +11 more
wiley   +1 more source

Laplace operator based multi-channel image filters learning

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2016
Learning an image filter from a pair of images composed of an original image and its filtered version has attracted increasing attention in the image processing region.
Yantao LIU   +4 more
doaj   +1 more source

A Wearable AI‐Driven Mask with Humidity‐Sensing Respiratory Microphone for Non‐Vocal Communication

open access: yesAdvanced Science, EarlyView.
A wearable, plug‐and‐play respiratory microphone—featuring a gold nanoparticle‐based humidity sensor—facilitates voice‐free verbal communication for patients with impaired vocal fold function. Abstract Hoarseness and dysphonia caused by vocal cord conditions or laryngeal surgeries significantly hinder communication and quality of life.
Jianfei Wang   +8 more
wiley   +1 more source

A graph discretization of the Laplace–Beltrami operator [PDF]

open access: yesJournal of Spectral Theory, 2015
We show that eigenvalues and eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) graph Laplace operator of a proximity graph on an epsilon-net.
Burago, D, Ivanov, S, Kurylev, Y
openaire   +4 more sources

Stable, Highly Conductive, and Strain‐Insensitive Supramolecular Elastomer Composite for Printable Self‐Healing Soft Electronics

open access: yesAdvanced Science, EarlyView.
A printable, self‐healing, stretchable, and highly conductive ink with pressure‐activated adhesive properties is designed by incorporation of liquid metal microparticles and carboxyl‐functionalized carbon nanotubes into a bimodal supramolecular elastomer.
Ahmed Albeltagi   +9 more
wiley   +1 more source

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