Results 101 to 110 of about 111,413 (237)

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

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  

Periodic Solutions for Duffing Equations with a p-Laplacian-Like Operator

Computers & Mathematics with Applications, 2006
The authors state a theorem on the existence of a \(T\)-periodic solution to \[ (\phi(u'))'+g(u)=p(t,u,u')\tag{1} \] where \(\phi\), \(g\) and \(p\) are continuous functions; \(\phi \) is an increasing homeomorphism of \({\mathbb R}\) such that for some \(p>1\) and positive constants \(m_1,\,m_2\) we have \[ m_1| y| ^{p-1}\leq| \varphi(y)| \leq m_2| y|
Wang, Youyu, Ge, Weigao
openaire   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Some bifurcation results for a class of $p$-Laplacian like operators

Differential and Integral Equations, 1997
Let us consider the boundary value problem \[ \begin{aligned} -\operatorname {div} \big (A(|\nabla u|)\nabla u\big)&=g\big (|x|,u,\lambda \big)\text{ in }\Omega ,\\ u&=0\text{ on }\partial \Omega , \end{aligned} \tag{1} \] where \(\Omega =B(0,R)\), \(R>0\) is the ball of radius \(R\) in \(\mathbb R^N\) and \(A\), \(g\) are continuous functions ...
García-Huidobro, M., Manásevich, R., Schmitt, K.   +2 more
openaire   +3 more sources

Maximal regularity and Hardy spaces

, 2007
In this work, we consider the Cauchy problem for $u' - Au = f$ with $A$ the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain.
Auscher, Pascal, Bernicot, Frédéric, Zhao, Jiman   +2 more
core   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Advancing Quantitative Susceptibility Mapping With 2.5D Diffusion Models for Rapid Intracranial Hemorrhage Quantification

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong, Yang Gao, Feng Liu, Derek Emery, Ken Butcher, Alan H. Wilman, Hongfu Sun   +6 more
wiley   +1 more source

Clinicopathological characteristics of patients with inoperable non‐small cell lung cancer harboring circulating NRF2 pathway mutations

The Journal of Pathology, EarlyView.
Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen, Satu Tiainen, Jouni Kujala, Linnea Muhonen, Ponnuswamy Mohanasundaram, Tuomas Tikkanen, Ina Pöhner, Tommi Patinen, Simone Adinolfi, Juha P Väyrynen, Päivi Auvinen, Arto Mannermaa, Petri Pölönen, Tuomas Rauramaa, Anna‐Liisa Levonen   +14 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