Results 31 to 40 of about 617,396 (323)

CSF Levels of NPTX2 Are Associated With Less Brain Atrophy Over Time in Cognitively Unimpaired Individuals

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Introduction Neuronal pentraxin 2 (NPTX2) is a synaptic protein involved in synaptic plasticity and regulation of neuronal excitability. Lower baseline cerebrospinal fluid (CSF) NPTX2 levels have been shown to be associated with an earlier onset of mild cognitive impairment (MCI), a pre‐dementia syndrome, even after CSF Alzheimer's Disease (AD)
Juan P. Vazquez, Corinne Pettigrew, Yuxin Zhu, Claire Anderson, Guray Erus, Christos Davatzikos, Michael Miller, Abhay Moghekar, Sungtaek Oh, Chan‐Hyun Na, Marilyn Albert, Paul Worley, Anja Soldan   +12 more
wiley   +1 more source

A-priori estimates for stationary mean-field games

Networks and Heterogeneous Media, 2012
In this paper we establish a new class of a-priori estimates for stationary mean-field games which have a quasi-variational structure.In particular we prove $W^{1,2}$ estimates for the value function $u$ and that the players distribution $m$ satisfies ...
Diogo A. Gomes, Gabriel E. Pires, Héctor Sánchez-Morgado   +2 more
doaj   +1 more source

On convergence of schemes of finite element method of high accuracy for the equation of heat and moisture transfer

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary equation of moisture transfer of Aller are constructed and investigated. The increased order of accuracy is achieved through special sampling
D. Utebaev, G.Kh. Utepbergenova, K.O. Tleuov   +2 more
doaj   +1 more source

A priori error estimates for the optimal control of laser surface hardening of steel [PDF]

, 2010
A priori error estimates for the optimal control of laser surface hardening of ...
Amiya K, Gupta Nupur, Nataraj Neela, Neela Nataraj A. K. Pani, Nupur Gupta, Pani Amiya K   +5 more
core   +1 more source

Singular quasilinear elliptic systems in $\mathbb{R}^N$

, 2018
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point ...
Marano, S. A., Marino, G., Moussaoui, A.
core   +1 more source

Weighted cscK metrics (I): A priori estimates

Journal of Functional Analysis
There was a mistake in Lemma 5.5 and Lemma 5.6 where an important term in the estimates was wrongly neglected. We corrected them.
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili   +2 more
openaire   +3 more sources

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin, Haocheng Yang, Feng Liu, Sihao Lin, Junru Hu, Jian Wang, Yulan Gou   +6 more
wiley   +1 more source

The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient

Mathematics
In this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is −Δpu=β|∇u|q+f in Ω, u=0 on ∂Ω, where Ω is a bounded open subset of RN, N≥2 ...
Angelo Alvino, Vincenzo Ferone, Anna Mercaldo   +2 more
doaj   +1 more source

The complex Hessian quotient flow on compact Hermitian manifolds

AIMS Mathematics, 2022
In this paper, we consider the parabolic Hessian quotient equation on compact Hermitian manifolds. By setting up a priori estimates of the admissible solutions, we prove the long-time existence of the solution to the parabolic Hessian quotient equation ...
Jundong Zhou , Yawei Chu
doaj   +1 more source

A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains [PDF]

, 2013
We investigate quantitative properties of the nonnegative solutions $u(t,x)\ge 0$ to the nonlinear fractional diffusion equation, $\partial_t u + {\mathcal L} (u^m)=0$, posed in a bounded domain, $x\in\Omega\subset {\mathbb R}^N$ with $m>1$ for $t>0$. As
Bonforte, Matteo, Vázquez, Juan Luis
core