Results 141 to 150 of about 36,594 (305)

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, Kseniia, Burger, Martin   +3 more
openaire   +6 more sources

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

Steklov problems involving the p(x)-Laplacian

Electronic Journal of Differential Equations, 2014
Under suitable assumptions on the potential of the nonlinearity, we study the existence and multiplicity of solutions for a Steklov problem involving the p(x)-Laplacian. Our approach is based on variational methods.
Ghasem A. Afrouzi, Armin Hadjian, Shapour Heidarkhani   +2 more
doaj  

EXISTENCE OF PERIODIC SOLUTIONS FOR A GENERAL CLASS OF p-LAPLACIAN EQUATIONS [PDF]

, 2011
Yong-In Kim
openalex   +1 more source

Dynamic boundary conditions with noise for an energy balance model coupled to geophysical flows

Mathematische Nachrichten, EarlyView.
Abstract This paper investigates a Sellers‐type energy balance model coupled to the primitive equations by a dynamic boundary condition with and without noise on the boundary. It is shown that this system is globally strongly well‐posed both in the deterministic setting for arbitrary large data in W2(1−1/p),p$W^{2(1-\nicefrac {1}{p}),p}$ for p∈[2,∞)$p \
Gianmarco Del Sarto, Matthias Hieber, Tarek Zöchling   +2 more
wiley   +1 more source

A SHOCK LAYER ARISING AS THE SOURCE TERM COLLAPSES IN THE P(X)-LAPLACIAN EQUATION

, 2020
S. N. Antont︠s︡ev, И. В. Кузнецов, Sergey Sazhenkov   +2 more
openalex   +1 more source

Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek, Zineb Sabbagh   +3 more
wiley   +1 more source

(p,q)-Laplacian elliptic systems at resonance

Electronic Journal of Differential Equations, 2016
We show the existence of weak solutions for a class of (p,q)-Laplacian elliptic systems at resonance, under certain Landesman-Lazer-type conditions by using critical point theorem.
Zeng-Qi Ou
doaj  

Asymptotic behavior of even-order damped differential equations with p-Laplacian like operators and deviating arguments [PDF]

, 2016
Qingmin Liu, Martin Böhner, Said R. Grace, Tongxing Li   +3 more
openalex   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source