Results 91 to 100 of about 20,082 (264)

Homological eigenvalues of graph p-Laplacians

Journal of Topology and Analysis, 2023
Inspired by persistent homology in topological data analysis, we introduce the homological eigenvalues of the graph [Formula: see text]-Laplacian [Formula: see text], which allows us to analyze and classify non-variational eigenvalues. We show the stability of homological eigenvalues, and we prove that for any homological eigenvalue [Formula: see text]
openaire   +2 more sources

Population Pharmacokinetics and Detection Times of Betamethasone After Intravenous, Intramuscular, and Intranasal Jet Administration of Betamethasone Sodium Phosphate in Horses

Drug Testing and Analysis, EarlyView.
Betamethasone concentrations in 20 horses from Japan and Germany following IV, IM, and INJ administration of betamethasone phosphate were analyzed using population pharmacokinetic modeling. For IV administration of 0.04 mg/kg q24 h, IPC and IUC were 0.012 and 0.31 ng/mL, respectively; the IUC approximated the IFHA urine ISL (0.20 ng/mL).
Taisuke Kuroda, Marc Machnik, Mario Thevis, Yohei Minamijima, Gary Ngai‐Wa Leung, Motoi Nomura, Fumiaki Mizobe, Yuhiro Ishikawa, Kazuhiro Kamiya, Pierre‐Louis Toutain   +9 more
wiley   +1 more source

Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian

Nonlinear Analysis, 2015
In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
doaj   +1 more source

Brain‐wide magnetic resonance imaging analysis of neurobehavioral comorbidities in temporal lobe epilepsy

Epilepsia, EarlyView.
Abstract Objective In temporal lobe epilepsy (TLE), patients often present with neurobehavioral comorbidities encompassing affective and cognitive difficulties. Whereas the latter have been related to atypical connectivity of mesiotemporal and frontotemporal circuits, the brain basis of affective symptoms remains incompletely understood.
Fatemeh Fadaie, Benoit Caldairou, Boris C. Bernhardt, Andrea Bernasconi, Neda Bernasconi   +4 more
wiley   +1 more source

Prüfer transformation for the \(p\)-Laplacian

Electronic Journal of Differential Equations, 2010
Summary: Prüfer transformation is a useful tool for studying second-order ordinary differential equations. There are many possible extensions of the original Prüfer transformation. We focus on a transformation suitable for study of boundary value problems for the \(p\)-Laplacian in the resonant case.
Jiri Benedikt, Petr Girg
openaire   +2 more sources

Hypergraph p-Laplacians and Scale Spaces

Journal of Mathematical Imaging and Vision
AbstractThe aim of this paper is to revisit the definition of differential operators on hypergraphs, which are a natural extension of graphs in systems based on interactions beyond pairs. In particular, we focus on the definition of Laplacian and p-Laplace operators for oriented and unoriented hypergraphs, their basic properties, variational structure,
Fazeny, Ariane, Tenbrinck, Daniel, Lukin, Kseniaa, Burger, Martin   +3 more
openaire   +7 more sources

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source

A two‐stage model for precise identification and Gleason grading of clinically significant prostate cancer: a hybrid approach

Journal of Medical Radiation Sciences, Volume 72, Issue 1, Page 93-105, March 2025.
This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou, Xuechun Wang, Fen Ma, Xulun Liu, Chunyue Jiao, Zhen Kang, Jingjing Cui, Yang Zhang, Yan Xie, Lei Chen, Ronghua Tian   +10 more
wiley   +1 more source

Origin of the \(p\)-Laplacian and A. Missbach

Electronic Journal of Differential Equations, 2018
Summary: We describe the historical process of derivation of the \(p\)-Laplace operator from a nonlinear Darcy law and the continuity equation. The story begins with nonlinear flows in channels and ditches. As the nonlinear Darcy law we use the power law discovered by \textit{O.
Jiri Benedikt, Petr Girg, Lukas Kotrla, Peter Takac   +3 more
openaire   +2 more sources

Traveling Fronts for (q,r)$(q, r)$‐Relativistic Operators: Existence and Asymptotic Properties

Mathematische Nachrichten, EarlyView.
ABSTRACT A new reaction–diffusion model governed by a (q,r)$(q, r)$‐relativistic type diffusion, generalizing the p$p$‐relativistic one and encompassing singular and/or degenerate diffusivity, is introduced. In the monostable case, some existence results for (decreasing) fronts are then provided, exploiting the study of a suitable two‐point problem ...
Pavel Drábek, Maurizio Garrione, Michaela Zahradníková   +2 more
wiley   +1 more source