Results 91 to 100 of about 1,008,634 (300)

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

Optimal local Hölder index for density states of superprocesses with (1+ β)-branching mechanism [PDF]

, 2010
For $0 0$ holds: the density function is locally Hölder continuous if $d = 1$ and $\alpha > 1 + \beta$, but locally unbounded otherwise.
Leonid Mytnik, Fleischmann, Klaus, Klaus Fleischmann, Vitali Wachtel, Wachtel, Vitali, Mytnik, Leonid   +5 more
core   +1 more source

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

Aging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss, Alexis C. Wardell, Allison M. Deal, Kirsten A. Nyrop, Allison Ross, Yara G. Abdou, Jeffrey D. Aldrich, Lisa A. Cary, E. Claire Dees, Katherine E. Reeder‐Hayes, Emily M. Ray, Natalia Mitin, Denis Tsygankov   +12 more
wiley   +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

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

Infinite dimensional quasi continuity, path continuity and ray continuity of functions with fractional regularity [PDF]

, 2001
We prove for functions in Sobolev spaces in Lp of fractional order r over infinite dimensional spaces (p,r)-quasi continuity yields path (r2−1p)-Hölder continuity if pr>2 and ray (r−1p)-Hölder continuity if pr>1. We also present applications to the quasi
Hu, Jihui, Jihui Hu, Jiagang Ren, Ren, Jiagang   +3 more
core   +1 more source

Onasemnogene Abeparvovec in Type I Spinal Muscular Atrophy: 24‐Month Follow‐Up From the Italian Registry

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Onasemnogene abeparvovec (OA) is an AAV9‐based gene therapy for spinal muscular atrophy type I (SMA I). Real‐world outcomes show increased response variability compared to clinical trials, and follow‐up data beyond 12–18 months are limited.
Marika Pane, Giorgia Coratti, Chiara Cutrì, Antonio Varone, Riccardo Masson, Adele D'Amico, Valeria Sansone, Sonia Messina, Federica Ricci, Chiara Ticci, Claudio Bruno, Caterina Agosto, Francesca Benedetti, Antonella Pini, Sabrina Siliquini, Massimiliano Filosto, Alberto Zambon, Ilaria Bitetti, Maria Rosaria Manna, Claudia Dosi, Riccardo Zanin, Stefano Parravicini, Roberto De Sanctis, Giulia Stanca, Michela Catteruccia, Michele Tosi, Irene Mizzoni, Emilio Albamonte, Valentina Franchino, Maria Sframeli, Ilaria Cavallina, Elena Procopio, Michele Sacchini, Simone Morando, Noemi Brolatti, Federica Trucco, Gaia Scarpini, Elena Briganti, Beatrice Berti, Concetta Palermo, Daniela Leone, Stefano C. Previtali, Eugenio Mercuri, the ITASMAC working group   +43 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

Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants

Annals of Clinical and Translational Neurology, EarlyView.
Multiple Sclerosis Relapse Activity After Ozanimod Discontinuation in DAYBREAK Trial Participants. ABSTRACT Objective Return of disease activity is expected when patients discontinue disease‐modifying therapy (DMT) for multiple sclerosis (MS). Some MS DMTs are associated with higher‐than‐expected disease activity (rebound) after discontinuation.
Ralf Gold, Krzysztof W. Selmaj, Regina Berkovich, Jeffrey A. Cohen, Giancarlo Comi, Eva K. Havrdová, James K. Sheffield, Hetal Desai, Chun‐Yen Cheng, Jon V. Riolo, Andrew Thorpe, Erik DeBoer, Bruce A. C. Cree   +12 more
wiley   +1 more source