Results 101 to 110 of about 164,762 (278)
Hölder Continuity of Local Minimizers
Journal of Mathematical Analysis and Applications, 1999 The authors study the regularity of local minimizers \(u\in W^1_{p,\text{loc}}(\Omega)\), \(p> 1\), \(\Omega\) open in \(\mathbb{R}^n\), of the variational integral \[ J[u]= \int_\Omega F(x,u,\nabla u) dx \] with integrand \(F\) of the form \((\nu>0,\;0\leq \mu\leq 1)\) \[ F(x,u,z)= \nu(\mu+|z|^2)^{{p\over 2}}+ f(x,u,z), \] \(f\) being convex in \(z ...
Cupini G., Fusco N., Petti R.
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A Systematic Comparison of Alpha‐Synuclein Seed Amplification Assays for Increasing Reproducibility
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Seed amplification assays (SAAs) enable ultrasensitive detection of misfolded α‐synuclein across biofluids and tissues. Yet, heterogeneity in protocols limits cross‐study comparability and clinical translation. Here, we review α‐synuclein SAA methods and their performance across various biological matrices.
Manuela Amaral‐do‐Nascimento +3 more
wiley +1 more source
Bruno Pini Mathematical Analysis SeminarWith this note, we aim at drawing a short, coherent, and compact guide of the state-of-the-art on the theory of basic regularity, such as local boundedness, local Hölder continuity, Harnack estimates and some of their consequences, in the context of ...
Bashayer Majrashi, Vincenzo Vespri
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller +14 more
wiley +1 more source
Hölder classes relative to degenerate elliptic operators as interpolation spaces
Le Matematiche, 1998 The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of ...
Ugo Gianazza, Vincenzo Vespri
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The Small Time Asymptotics of SPDEs with Reflection
Abstract and Applied Analysis, 2014 We study stochastic partial differential equations with singular drifts and with reflection, driven by space-time white noise with nonconstant diffusion coefficients under periodic boundary conditions.
Juan Yang, Jianliang Zhai, Qing Zhou
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Variants in SLC6A1, encoding the GABA transporter 1 (GAT‐1), cause epilepsy, autism spectrum disorder, and developmental delay via loss of GABA uptake, impaired trafficking, and ER retention. We previously found that 4‐Phenylbutyrate (PBA), an FDA‐approved drug, restores GABA uptake and reduces seizures in SLC6A1‐related disorders ...
Melissa B. DeLeeuw +5 more
wiley +1 more source
Electronic Journal of Differential Equations, 2019 In this article, we study the continuity of the Lyapunov exponent of discrete analytic Jacobi operators with the skew-shift mapping. We prove that the Lyapunov exponent is weak Holder continuous in E for any Diophantine frequency in the large coupling
Kai Tao
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Holder continuity for the ring $Q$-homeomorphisms with respect to $p$-modulus
, 2013 in ...
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Peripheral Neutrophil Activation and Extracellular Trap Formation in Amyotrophic Lateral Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.Markers of neutrophil activation are increased in plasma during ALS, and markers of NET formation associate with ALS survival. ABSTRACT Objectives Peripheral neutrophil levels in amyotrophic lateral sclerosis (ALS) inversely correlate with survival, suggesting a role for neutrophils in disease progression.
Lillia A. Baird +9 more
wiley +1 more source