Combined effects of changing-sign potential and critical nonlinearities in Kirchhoff type problems
Electronic Journal of Differential Equations, 2016 In this article, we study the existence and multiplicity of positive solutions for a class of Kirchhoff type problems involving changing-sign potential and critical growth terms.
Gao-Sheng Liu, Liu-Tao Guo, Chun-Yu Lei
doaj
Reduced Muscular Carnosine in Proximal Myotonic Myopathy—A Pilot 1H‐MRS Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Myotonic dystrophy type 2 (proximal myotonic myopathy, PROMM) is a progressive multisystem disorder with muscular symptoms (proximal weakness, pain, myotonia) and systemic manifestations such as diabetes mellitus, cataracts, and cardiac arrhythmias.
Alexander Gussew +11 more
wiley +1 more source
Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
doaj
Infinitely many solutions for a critical p(x)-Kirchhoff equation with Steklov boundary value
AIMS MathematicsIn this paper, we aim to tackle the questions of existence and multiplicity of solutions of the $ p(x) $-Kirchhoff problem involving critical exponent and the Steklov boundary value.
Khaled Kefi +3 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Myasthenia gravis (MG) is an autoimmune disorder characterized by antibody‐mediated complement activation. Efgartigimod, a neonatal Fc receptor (FcRn) antagonist, is approved for treating generalized MG (gMG). However, its modulatory effects on upstream innate and adaptive immune cells remain largely unexplored.
Lei Jin +11 more
wiley +1 more source
Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
wiley +1 more source
Existence and concentration of solutions for a p-laplace equation with potentials in R^N
Electronic Journal of Differential Equations, 2010 We study the p-Laplace equation with Potentials $$ -hbox{div}(| abla u|^{p-2} abla u)+lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $$ $uin W^{1,p}(mathbb{R}^N)$, $xin mathbb{R}^N$ where $2leq p$, $p<q<p^{*}$. Using a concentration-compactness principle
Mingzhu Wu, Zuodong Yang
doaj
The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, Part 2
, 1985 Pierre-Louis Lions
openalex +2 more sources
The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem [PDF]
, 2018 Julián Fernández Bonder +2 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
wiley +1 more source