Results 91 to 100 of about 36,100 (302)

A weighted networked eco-epidemiological model with nonlinear $ p\, $-Laplacian

AIMS Mathematics
This paper investigates a eco-epidemiological model with a graph $ p\, $-Laplacian $ (p\geq 2) $. We first overcome the difficulties caused by the nonlinearity of the $ p\, $-Laplacian and show the existence and uniqueness of the global solution to the ...
Ling Zhou, Guoqing Ding, Zuhan Liu
doaj   +1 more source

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   +5 more sources

Leveraging Compressed Sensing and Radiomics for Robust Feature Selection for Outcome Prediction in Personalized Ultra‐Fractionated Stereotactic Adaptive Radiotherapy

Advanced Intelligent Systems, EarlyView.
A compressed sensing (CS)‐based feature selection method is proposed to select the most informative elements in the radiomic features extracted from medical images of personalized ultra‐fractionated stereotactic adaptive treatment. The CS‐based approach is able to simplify the feature selection process and enhance the accuracy and robustness of a ...
Yajun Yu, Steve Jiang, Robert Timmerman, Hao Peng   +3 more
wiley   +1 more source

Eigenvalue problems with p-Laplacian operators

Electronic Journal of Differential Equations, 2014
In this article, 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 $\pi_{p}\equiv 2\pi/(p\sin(\pi/p))$.
Yan-Hsiou Cheng
doaj  

Competing anisotropic and Finsler ( p , q ) $(p,q)$ -Laplacian problems

Boundary Value Problems
The aim of this paper is to prove the existence of generalized variational solutions for nonlinear Dirichlet problems driven by anisotropic and Finsler Laplacian competing operators.
Dumitru Motreanu, Abdolrahman Razani
doaj   +1 more source

Next Generation Modeling of Glioblastoma Progression: Diffusing Through Time and Brain

Annalen der Physik, EarlyView.
Glioblastoma (GBM) is a fatal brain tumor that will inevitably recur following surgical resection. Early mathematical tumor growth models used the reaction‐diffusion equation to describe the proliferation and invasion of tumor spread. However, with increasingly advanced neuroimaging technology, diffusion tensor imaging data has more recently been ...
Francesca M. Cozzi, Yizhou Wan, Swati Jain, Curtis Holliman, Roxanne C. Mayrand, Stephen J. Price   +5 more
wiley   +1 more source

Multiple Solutions for Partial Discrete Dirichlet Problems Involving the p-Laplacian

Mathematics, 2020
Due to the applications in many fields, there is great interest in studying partial difference equations involving functions with two or more discrete variables.
Sijia Du, Zhan Zhou
doaj   +1 more source

Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems

Annalen der Physik, EarlyView.
A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam, Zhuo Bin Siu, Md. Saddam Hossain Razo, Mansoor B.A. Jalil   +3 more
wiley   +1 more source

Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
doaj   +1 more source

On critical points of p harmonic functions in the plane

Electronic Journal of Differential Equations, 1994
$ 1 < p < infty $, in the unit disk and equal to a polynomial $ P $ of positive degree on the boundary of this disk, then $ abla u $ has at most deg$P - 1$ zeros in the unit disk.
John L. Lewis
doaj