Results 161 to 170 of about 31,755,712 (367)

Existence of solutions to nonlocal elliptic equations with discontinuous terms

open access: yesElectronic Journal of Differential Equations, 2012
In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation $$displaylines{ -[M(|u|^{p}_{1,p})]^{1,p}Delta_{p}u = f(x,u) quadhbox{in } Omega , cr u = 0 quadhbox{on } partialOmega , }$$ where ...
Francisco Julio S. A. Correa   +1 more
doaj  

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon   +12 more
wiley   +1 more source

Existence and concentration of positive bound states for Schrodinger-Poisson systems with potential functions

open access: yesElectronic Journal of Differential Equations, 2015
In this article we study the existence and concentration behavior of bound states for a nonlinear Schrodinger-Poisson system with a parameter $\varepsilon>0$.
Patricia L. Cunha
doaj  

The Diverse Neuromuscular Spectrum of VPS13A Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective VPS13A disease (chorea‐acanthocytosis) is a rare neurodegenerative disorder caused by biallelic variants in VPS13A, typically presenting with hyperkinetic movement disorders, while neuromuscular signs are often mild. The aim of the project was to investigate the frequency and severity of neuromuscular impairment in VPS13A disease ...
Anne Buchberger   +16 more
wiley   +1 more source

Existence of standing waves for Schrodinger equations involving the fractional Laplacian

open access: yesElectronic Journal of Differential Equations, 2017
We study a class of fractional Schrodinger equations of the form $$ \varepsilon^{2\alpha}(-\Delta)^\alpha u+ V(x)u = f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $\varepsilon$ is a positive parameter, $0 < \alpha < 1$, $2\alpha < N$, $(-\Delta ...
Everaldo S. de Medeiros   +2 more
doaj  

The Impact of Tilburg Frailty on Poststroke Fatigue in First‐Ever Stroke Patients: A Cross‐Sectional Study With Unified Measurement Tools and Improved Statistics

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Poststroke fatigue (PSF) and frailty share substantial overlap in their manifestations, yet previous research has yielded conflicting results due to the use of heterogeneous frailty assessment tools. Objective To evaluate the independent impact of frailty on PSF using a unified measurement system (Tilburg Frailty Indicator, TFI ...
Chuan‐Bang Chen   +6 more
wiley   +1 more source

Variational Methods and Critical Point Theory 2013

open access: yesAbstract and Applied Analysis, 2013
M. Victoria Otero-Espinar   +3 more
doaj   +1 more source

Multiple solutions for perturbed non-local fractional Laplacian equations

open access: yesElectronic Journal of Differential Equations, 2013
In article we consider problems modeled by the non-local fractional Laplacian equation $$\displaylines{ (-\Delta)^s u=\lambda f(x,u)+\mu g(x,u) \quad\text{in } \Omega\cr u=0 \quad\text{in } \mathbb{R}^n\setminus \Omega, }$$ where $s\in (0,1)$ is ...
Massimiliano Ferrara   +2 more
doaj  

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