Results 71 to 80 of about 420,413 (259)

A Family of High Continuity Subdivision Schemes Based on Probability Distribution

Mehran University Research Journal of Engineering and Technology, 2019
Subdivision schemes are famous for the generation of smooth curves and surfaces in CAGD (Computer Aided Geometric Design). The continuity is an important property of subdivision schemes.
Muhammad Asghar, Muhammad Javed Iqbal, Ghulam Mustafa   +2 more
doaj  

Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group

Advances in Nonlinear Analysis, 2018
We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation.
Wang Jialin, Manfredi Juan J.
doaj   +1 more source

Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level

Aging and Cancer, EarlyView.
This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
wiley   +1 more source

Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions

Demonstratio Mathematica
We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains.
Eddine Nabil Chems, Repovš Dušan D.
doaj   +1 more source

Continuity of solutions to the $G$-Laplace equation involving measures

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We establish local continuity of solutions to the $G$-Laplace equation involving measures, i.e., \begin{align*} -\text{div}\ \bigg(\frac{g(|\nabla u|)}{|\nabla u|}\nabla u\bigg)=\mu,\end{align*} where $\mu$ is a nonnegative Radon measure satisfying $\mu (
Yan Zhang, Jun Zheng
doaj   +1 more source

Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

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, Vanessa Vallejo, Mónica Povedano Panadés, Orla Hardiman, Véronique Danel‐Brunaud, Senda Ajroud‐Driss, Philippe Couratier, Jeremy Shefner, Anna Gokey, Mike DiCesare, Erin Lennox, Jens Praestgaard, Lucie Brujin, Peggy Allred, Ram Miller   +14 more
wiley   +1 more source

Unraveling 4‐Phenylbutyrate's Therapeutic Role in SLC6A1 Disorders: Pharmacochaperoning Over HDAC Inhibition

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, Karishma Randhave, Ekta Anand, Ziang (Debbie) Song, Wangzhen Shen, Jing‐Qiong Kang   +5 more
wiley   +1 more source

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, Haley McQuown, Jihyun Park, Samuel J. Teener, Ian F. Webber‐Davis, Andrew D. Carter, Dae‐Gyu Jang, Eva L. Feldman, Stephen A. Goutman, Benjamin J. Murdock   +9 more
wiley   +1 more source

Regularity for the solutions of double obstacle problems involving nonlinear elliptic operators in the Heisenberg group

Le Matematiche, 2001
We study the Hölder continuity of the homogeneous gradient of the weak solutions of double obstacle problems involving nonlinear elliptic operators in the Heisenberg group.
Silvana Marchi
doaj  

Doubling measure and regularity to K-quasiminimizers of double-phase energy

Advances in Nonlinear Analysis
We consider an integral functional involving the double-phase operator in a metric measure space equipped with a doubling measure. On the basis of suitable hypotheses on the function governing the phase changes, we design a unifying approach to establish
Cen Jinxia, Vetro Calogero, Zeng Shengda
doaj   +1 more source