Results 141 to 150 of about 1,008,634 (300)

Vector-valued Morrey's embedding theorem and Holder continuity in parabolic problems

Electronic Journal of Differential Equations, 2011
If $Isubset mathbb{R}$ is an open interval and $Omega subset mathbb{R}^N$ an open subset with $partial Omega $ Lipschitz continuous, we show that the space $W^{1,p}(I,L^q (Omega ))cap L^p(I,W^{1,q}(Omega ))$ is continuously embedded in $C^{0,frac{1 ...
Patrick J. Rabier
doaj  

Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications

, 2000
Ren J, Röckner M. Ray Hölder-continuity for fractional Sobolev spaces in infinite dimensions and applications. Probability Theory and Related Fields. 2000;117(2):201-220.We prove Hölder-continuity on rays in the direction of vectors in the (generalized ...
Röckner, Michael, Ren, Jiagang
core   +1 more source

Evaluation of Dried Plasma Spot‐Based Quantification of Glial Fibrillary Acidic Protein as a Disease‐Associated Biomarker in Neuromyelitis Optica Spectrum Disorder

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate the diagnostic accuracy of glial fibrillary acidic protein (GFAP) measured in dried plasma spots versus conventional plasma‐ and serum‐GFAP testing for assessment of disease severity in aquaporin‐4 immunoglobulin G–positive neuromyelitis optica spectrum disorder (AQP4‐IgG+ NMOSD).
Felix Wohlrab, Evelyn Alvarez, Roua Hamdi, Bingqing Zhang, Hayeun Ji, Niyati Jhaveri, Patrick Schindler, Pedro Sanchez, Pia S. Sperber, Tanja Schmitz‐Hübsch, Frederike C. Oertel, Nisa Vorasoot, Najib Kissani, Falko Böhringer, Jens Kuhle, Anne‐Katrin Pröbstel, Xiao‐Jun Ma, Péter Körtvelyessy, Patrick Waters, Friedemann Paul   +19 more
wiley   +1 more source

Regularity of minimizers for double phase functionals of borderline case with variable exponents

Advances in Nonlinear Analysis
The aim of this article is to study regularity properties of a local minimizer of a double phase functional of type ℱ(u)≔∫Ω(∣Du∣p(x)+a(x)∣Du∣p(x)log(e+∣Du∣))dx,{\mathcal{ {\mathcal F} }}\left(u):= \mathop{\int }\limits_{\Omega }({| Du| }^{p\left(x)}+a ...
Ragusa Maria Alessandra, Tachikawa Atsushi   +1 more
doaj   +1 more source

Weaker forms of continuity [PDF]

, 1972
This paper is concerned with a study of various weaker forms of continuity. The definitions originated in [1], [2], and [4] . In Chapter I, the definitions of several types of continuity are given and examples are given to show that these are actually ...
Keith, Martha Allred, NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

The Comprehensive Live Cell‐Based Cytotoxicity Assay for Monitoring Disease Activity and Guiding Rescue Therapy in Acute Attacks of NMOSD

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neuromyelitis optica spectrum disorder (NMOSD) is a devastating neurological disease that lacks serological biomarkers that can accurately reflect disease activity. We established a live cell‐based assay (LCBA) using serum with endogenous complement to quantify the overall cytotoxicity, offering a novel functional tool for monitoring
Xiaona Xu, Jie Ding, Yupeng Du, Guibao Luo, Jinming Li, Rui Liu, Xiaoyi Xu, Xiao Li, Minshu Li, Wei Jiang, Chunsheng Yang   +10 more
wiley   +1 more source

Data‐Driven SuStaIn Model of Disability Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether ordinal Subtype and Stage Inference (SuStaIn) applied to routine ALSFRS‐R item scores can identify reproducible disability progression patterns in amyotrophic lateral sclerosis (ALS) and provide clinically meaningful staging.
Giammarco Milella, Veria Vacchiano, Vittorio Velucci, Stefano Zoccolella, Rocco Liguori, Giovanni Defazio   +5 more
wiley   +1 more source

Boundary‐Dependent Sleep–Wake Dysregulation in Idiopathic Hypersomnia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Idiopathic hypersomnia (IH) presents with excessive daytime sleepiness (EDS) despite apparently preserved nocturnal sleep, challenging traditional models of hypersomnolence based on sleep loss or fragmentation. We aimed to test the hypothesis that EDS in IH reflects excessive stabilization of the sleep state, consistent with ...
Samantha Mombelli, Karine Lacourse, Hélène Blais, Anne‐Sophie Deshaies‐Rugama, Cynthia Thompson, Alex Desautels, Jacques Montplaisir, Milan Nigam, Christophe Moderie, Boshra Khajehpiri, Catherine Duclos, Jean Marc Lina, Julie Carrier, Nadia Gosselin   +13 more
wiley   +1 more source

Mucocutaneous Disease Activity and Damage Accrual in Systemic Lupus Erythematosus: Analyses From the Asia‐Pacific Lupus Collaboration Longitudinal Cohort Study

Arthritis Care &Research, EarlyView.
Objective This research article aims to describe the prevalence, associations, and health‐related quality of life (HRQoL) impact of mucocutaneous features of systemic lupus erythematosus (SLE). Methods Data from the Asia‐Pacific Lupus Collaboration cohort were analyzed (2013–2021).
Amanda M. Saracino, Yanjie Hao, Dylan Hansen, Yi‐Hsing Chen, Alberta Hoi, Vera Golder, Jiacai Cho, Aisha Lateef, Worawit Louthrenoo, Laniyati Hamijoyo, Shue Fen Luo, Yeong‐Jian Jan Wu, Sandra Navarra, Leonid Zamora, Chak Sing Lau, Shirley Chan, Zhanguo Li, Hai‐hong Yao, Sargunan Sockalingam, B. M. D. B. Basnayake, Yasuhiro Katsumata, Masayoshi Harigai, Zhuoli Zhang, Jun Kikuchi, Yuko Kaneko, Tsutomu Takeuchi, Madelynn Chan, Sang‐Cheol Bae, Fiona Goldblatt, Sean O'Neill, Geraldine Hassett, Kristine Ng, Nicola Tugnet, Mark Sapsford, Yih Jia Poh, Michael Tee, Cherica Tee, Naoaki Ohkubo, Yoshiya Tanaka, Rangi Kandane‐Rathnayake, Eric Morand, Shereen Oon, Mandana Nikpour   +42 more
wiley   +1 more source

Effects of Causal Beliefs About Gout on Public Views About Gout Management: A Randomized Experimental Study

Arthritis Care &Research, EarlyView.
Objective Despite well‐described biologic causes, the public views unhealthy lifestyle choices as the primary cause of gout. This study investigated how causal beliefs about gout influence the public's views about its management. Methods In a randomized study, 201 members of the public viewed one of two 2‐minute videos about gout.
Rachel Murdoch, Borislav Mihov, Anne Horne, Keith J. Petrie, Gregory D. Gamble, Lachlan Fleck, Nicola Dalbeth   +6 more
wiley   +1 more source