Results 71 to 80 of about 2,362 (222)

The second eigenvalue of the fractional p-Laplacian [PDF]

Advances in Calculus of Variations, 2016
AbstractWe consider the eigenvalue problem for the fractional p-Laplacian in an open bounded, possibly disconnected set ${\Omega\subset\mathbb{R}^{n}}$, under homogeneous Dirichlet boundary conditions. After discussing some regularity issues for eigenfunctions, we show that the second eigenvalue ${\lambda_{2}(\Omega)}$ is well-defined, and we ...
BRASCO, Lorenzo, Parini, Enea
openaire   +5 more sources

An Integrated and Robust Deep Learning Framework for Denoising and Analyzing Single‐Cell Spatial Transcriptomics

Advanced Intelligent Systems, EarlyView.
Single‐cell Spatial Transcriptomics Analysis and Denoising Engine is introduced as a unified deep learning framework that jointly performs denoising, clustering, and gene prioritization in spatial transcriptomics. By integrating linear and nonlinear representations within a dual‐channel architecture, it improves robustness and accuracy, uncovers ...
Yaxuan Cui, Yang Cui, Ruheng Wang, Xin Zeng, Zheyong Zhu, Ding Yi, Ruihua Guo, Tetsuya Sakurai, Kenta Nakai, Xiucai Ye, Leyi Wei, Yong Chen   +11 more
wiley   +1 more source

Numerical approximation of the integral fractional Laplacian [PDF]

Numerische Mathematik, 2019
We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian. We first derive an integral representation of the bilinear form corresponding to the variational problem. The numerical approximation of the action of the corresponding stiffness matrix consists of three steps:
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak   +2 more
openaire   +3 more sources

Pharmacokinetics and pharmacodynamics of intravenous and oral (S)‐ketamine: Investigating metabolite contribution to subjective effects

British Journal of Clinical Pharmacology, EarlyView.
Aims Oral administration of (S)‐ketamine for treatment‐resistant depression (TRD), as alternative to the registered intranasal or off‐label intravenous administrations, has high potential. However, it is characterized by an extensive first‐pass metabolism, resulting in low (S)‐ketamine exposure and high levels of active metabolites, including (S ...
Marije E. Otto, Gabriël E. Jacobs, Joost C. van Mechelen, Laura G. J. M. Borghans, Johan G. C. van Hasselt, Linda B. S. Aulin   +5 more
wiley   +1 more source

Presurgical magnetoencephalography‐derived network control metrics distinguish successful hippocampal resection vs sparing in temporal lobe epilepsy

Epilepsia, EarlyView.
Abstract Objective Surgical decision‐making in temporal lobe epilepsy (TLE) faces a critical challenge in determining whether the hippocampus can be safely spared during anterior temporal resection, particularly when surgery involves the language‐dominant hemisphere.
Guhan Seshadri NP, Himanshu Kumar, Neha Sara John, Andreas V. Alexopoulos, Richard C. Burgess, Hiroatsu Murakami, Balu Krishnan   +6 more
wiley   +1 more source

Inter‐Material Transfer Learning for Accelerated Nanofluid Heat Transfer Prediction: A Machine Learning Approach for Energy Systems

Energy Science &Engineering, EarlyView.
This study presents an inter‐material transfer learning framework for nanofluid heat transfer prediction in energy systems. By leveraging knowledge from Al2O3‐water data, the model accurately predicts hybrid Al2O3‐TiO2 nanofluid performance with only 20 simulations, achieving R2 = 0.985 and reducing computational requirements by 78. ABSTRACT This paper
Soumaya Hadj Salah, Aymen Ochi, Sonia Bezi   +2 more
wiley   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian

Journal of Function Spaces and Applications, 2013
We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut ...
Ya-ling Li, Shi-you Lin
doaj   +1 more source

Discrete Laplacian Operator and Its Applications in Signal Processing

IEEE Access, 2020
Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj   +1 more source