Results 91 to 100 of about 5,593 (259)

Three solutions for singular p-Laplacian type equations

Electronic Journal of Differential Equations, 2008
In this paper, we consider the singular $p$-Laplacian type equation $$displaylines{ -hbox{div}(|x|^{-eta} a(x, abla u)) =lambda f(x,u),quad hbox{in }Omega,cr u=0,quad hbox{on }partialOmega, }$$ where ...
Huiwen Yan, Di Geng, Zhou Yang
doaj  

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

Eigenvalue problems with \(p\)-Laplacian operators

Electronic Journal of Differential Equations, 2014
Summary: We study eigenvalue problems with the \(p\)-Laplacian operator: \[ -(|y'|^{p-2} y')'= (p-1)(\lambda\rho(x)- q(x))|y|^{p-2} y\quad\text{on }(0,\pi_p), \] where \(p>1\) and \(\pi_p\equiv 2\pi/(p\sin(\pi/p))\). We show that if \(\rho\equiv 1\) and \(q\) is single-well with transition point \(a= \pi_p/2\), then the second Neumann eigenvalue is ...
openaire   +2 more sources

Association Between Deep Gray Matter Iron Deposition Dysregulation and Cognitive Performance in Type 2 Diabetes Mellitus Patients: A Quantitative Susceptibility Mapping Study

Journal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background Type 2 diabetes (T2DM) heightens cognitive impairment risk, yet the mechanisms remain unclear. Hyperglycemia‐induced iron dysregulation in deep gray matter (DGM) nuclei may be a crucial mechanism. Purpose To investigate DGM iron deposition in T2DM using Quantitative Susceptibility Mapping (QSM) and determine its association with ...
Kun Wang, Jiahe Wang, Ziyu Diao, Xin Tan, Shijun Qiu, Jie An   +5 more
wiley   +1 more source

A Dirichelet–Neumann m-point BVP with a p-Laplacian-like operator

Nonlinear Analysis: Theory, Methods & Applications, 2005
The authors are concerned with the existence of solutions of the m-point boundary value problem \[ (\phi(u'))'=f(t,u,u'),\quad t\in (a,b),\quad u(a)=0,\quad \theta (u'(b))=\sum_{i=1}^{m-2}\alpha_i\theta (u'(\xi_i)), \] where \(\phi\) and \(\theta\) are odd increasing homeomorphisms from \(\mathbb R\) onto \(\mathbb R\) with \(\phi(0)=\theta(0)=0\), \(f:
García-Huidobro, Marta, Gupta, Chaitan P., Manásevich Tolosa, Raúl   +2 more
openaire   +5 more sources

Autonomous Velocity Encoding (VENC) Selection Improves Precision of Quantitative Flow Measurement

Journal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background The optimal velocity encoding limit (VENC) in phase contrast MRI is subject‐specific because it depends on peak flow rate and the presence of flow jets. Currently, VENC is set manually with limited prior knowledge of the peak velocity. Setting the correct VENC might improve measurement precision or shorten scan times.
Pierre Daudé, Rajiv Ramasawmy, Christine Mancini, Dominique Franson, Sunggun Lee, Anastasia Tsakirellis, W. Patricia Bandettini, Ahsan Javed, Kelvin Chow, Adrienne E. Campbell‐Washburn   +9 more
wiley   +1 more source

Existence Results for $\aleph$-Caputo Fractional Boundary Value Problems with $p$-Laplacian Operator

Journal of New Theory
This study delves into the investigation of positive solutions for a specific class of $\aleph$-Caputo fractional boundary value problems with the inclusion of the p-Laplacian operator. In this research, we use the theory of the fixed point theory within
Özlem Batit Özen
doaj   +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

On a Reverse Estimate for Hodge Decompositions of p-Laplacian Type Operators

Journal of Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Landesman–Lazer type conditions for a system of p-Laplacian like operators

Journal of Mathematical Analysis and Applications, 2007
The authors consider the periodic boundary value problem with a \(\Phi\)-Laplacian operator \[ \Phi(u')'=f(t,u,u'),\;\;\;u(0)=u(T),\tag{1} \] where \(\Phi\) is a (strictly monotone, coercive) homeomorphism of \(\mathbb R^N\) and the vector field \(f\) satisfies some condition of Landesman-Lazer type.
Amster, P., De Nápoli, P.
openaire   +3 more sources