Results 71 to 80 of about 1,100,393 (352)
Brezis Nirenberg type results for local non-local problems under mixed boundary conditions
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
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
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A computing method for bending problem of thin plate on Pasternak foundation
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
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On the Dependence on p of the Variational Eigenvalues of the p-Laplace Operator [PDF]
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
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
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
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
Laplace operators on Sasaki-Einstein manifolds [PDF]
6 ...
openaire +4 more sources
A graph discretization of the Laplace–Beltrami operator [PDF]
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
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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