Results 71 to 80 of about 4,696,970 (248)

The critical exponent for fast diffusion equation with nonlocal source

Boundary Value Problems, 2019
This paper considers the Cauchy problem for fast diffusion equation with nonlocal source ut=Δum+(∫Rnuq(x,t)dx)p−1qur+1 $u_{t}=\Delta u^{m}+ (\int_{\mathbb{R}^{n}}u^{q}(x,t)\,dx )^{\frac{p-1}{q}}u^{r+1}$, which was raised in [Galaktionov et al.
Chunxiao Yang, Linghua Kong, Yingxue Wu, Qing Tian   +3 more
doaj   +1 more source

Global Rather Than Vertical‐Selective Saccadic Abnormalities in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To test whether vertical saccades are preferentially affected in Progressive Supranuclear Palsy (PSP). Methods PSP patients (n = 24) were compared to age‐matched controls (n = 94) and two degenerative groups (Alzheimer's disease, n = 20; Lewy body disease, n = 50).
Duy Duan Nguyen, Mark Paine, Soohyun Lee, Amir Fazlollahi, Baibin (Ben) Wang, John D. O'Sullivan, Peter J. Nestor   +6 more
wiley   +1 more source

The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation

Mathematics
In this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
doaj   +1 more source

Two critical localization lengths in the Anderson transition on random graphs

Physical Review Research, 2020
We present a full description of the nonergodic properties of wave functions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We find that they are characterized by two critical localization lengths: the
I. García-Mata, J. Martin, R. Dubertrand, O. Giraud, B. Georgeot, G. Lemarié   +5 more
doaj   +1 more source

Diffuse MRI Edema Predicts Relapse in Cerebral Amyloid Angiopathy–Related Inflammation

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To identify MRI predictors of relapse and quantify relapse and mortality risk in cerebral amyloid angiopathy–related inflammation (CAA‐RI). A secondary objective was to assess the association between mycophenolate mofetil use and relapse risk. Methods We performed a retrospective cohort study of 36 patients with CAA‐RI treated at the
G. Abbas Kharal, Gowtham Yerneni, Kim J. Griffin, Nicolas Thompson, Ken Uchino, Irene Katzan, Dolora Wisco, Abeer Farrag, Jayashree Sundarajan, Andrew Russman, M. Shazam Hussain   +10 more
wiley   +1 more source

Serostatus‐Specific Prognostic Profiles and Phenotype‐Dependent Therapeutic Windows in Autoimmune Encephalitis: A Multicenter Cohort Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background While autoimmune encephalitis (AE) outcomes vary, serostatus‐specific prognostic determinants and institutional clustering effects remain poorly characterized. We aimed to delineate the distinct prognostic architecture of AE, identifying serostatus‐specific risk factors and potential therapeutic windows.
Xiaohong Tang, Jingxian Wang, Kaixin Zhu, Zhen Zhang, Liao Wu, Wei Wang, Chang Li, Qingyun Li, Hao Li, Jinghua Chen, Zhangxu Lian, Bin Liu, Tengfei Liu, Chunmei Wen, Nuan Wang, Sen Qun, Lishun Xiao, Qingwei Lai   +17 more
wiley   +1 more source

Development of a Disease Activity Index for the Assessment of VEXAS Syndrome (VEXAS‐DAI)

Arthritis Care &Research, EarlyView.
Objective Vacuoles, E1 enzyme, X‐linked, autoinflammatory, somatic syndrome (VEXAS) syndrome is characterized by a complex spectrum of inflammatory and hematologic manifestations. Clinical research to identify effective therapies is urgently needed but is hindered by the lack of validated outcome measures.
Kevin Byram, Heřman Mann, Danielle Hammond, Onima Chowdhury, Sinisa Savic, Yohei Kirino, Carmelo Gurnari, Maël Heiblig, Thibault Comont, Arsène Mekinian, Mrinal M. Patnaik, Lachelle D. Weeks, Gary Ho, Adam Al‐Hakim, Scott Goldberg, Marcela A. Ferrada, Sophie Georgin‐Lavialle, Peter C. Grayson, Emma M. Groarke, Bhavisha Patel, Megan Sullivan, Sarah A. Buckley, Bryan G. Harder, Raman Garcha, David B. Beck, Matthew J. Koster   +25 more
wiley   +1 more source

Mapping the Social Network Structure and Composition of Black Individuals With Rheumatic and Musculoskeletal Conditions

Arthritis Care &Research, EarlyView.
Objective Our objective was to describe the social networks of Black individuals with rheumatic and musculoskeletal conditions and understand the clustering of health‐related behaviors to inform future community‐based, peer‐led interventions. Methods We used an adapted Personal Network Survey for Clinical Research (PERSNET) to map the personal social ...
Taussia Boadi, Amar Dhand, Leah Santacroce, Neil Pillai, Komel Safdar, Mia T. Chandler, Ariel Childs, Monica Crespo‐Bosque, Gina Curry, Mary Dollear, Alice Eggleston, Daniel Erickson, Dieufort Fleurissaint, Denice Garrett, Gail Granville, Tyler Green, Magdalena Hamielec, Elena Losina, Karen Mancera‐Cuevas, Mary Ann Nelson, Chisa Nosamiefan, Bisola Ojikutu, Tonya S. Roberson, Mary Beth Son, Marie Jacques Toussaint, Michael York, Rosalind Ramsey‐Goldman, Candace H. Feldman   +27 more
wiley   +1 more source

Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight

Electronic Journal of Differential Equations, 2016
In this article we consider the problem $$\displaylines{ -\hbox{div}\big(p(x)\nabla u\big)=|u|^{2^{*}-2}u+\lambda f\quad \text{in }\Omega \cr u=0 \quad \text{on }\partial\Omega }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^N$, We study ...
Mohammed Bouchekif, Ali Rimouche
doaj  

Infinitely many solutions to quasilinear Schrödinger equations with critical exponent

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
doaj   +1 more source