Results 71 to 80 of about 164,762 (278)

On logarithmic Hölder continuity of mappings on the boundary

Annales Fennici Mathematici, 2022
We study mappings satisfying the so-called inverse Poletsky inequality. Under integrability of the corresponding majorant, it is proved that these mappings are logarithmic Hölder continuous in the neighborhood of the boundary points. In particular, the indicated properties hold for homeomorphisms whose inverse satisfy the weighted Poletsky inequality.
openaire   +4 more sources

Prognostic Implications of Sleep Architecture for Patients Admitted to the Intensive Care Unit With Status Epilepticus

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Status epilepticus (SE) is associated with significant mortality. Sleep architecture may reflect normal brain function. Impaired sleep architecture is associated with poorer outcomes in numerous conditions. Here we investigate the association of sleep architecture in continuous EEG (cEEG) with survival in SE.
Ran R. Liu, Marcus C. Ng, Gavin P. Winston, Sabrina Schaly, Garima Shukla, Lysa Boissé Lomax   +5 more
wiley   +1 more source

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  

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

Some properties of a kind of generalized Teodorescu operator in Clifford analysis

Journal of Inequalities and Applications, 2016
First, a kind of generalized Teodorescu operator which is related to the k-regular functions are defined. Then the boundedness and the Hölder continuity of the generalized Teodorescu operator are discussed.
Liping Wang
doaj   +1 more source

Development of a Prediction Model for Progression Risk in High‐Grade Gliomas Based on Habitat Radiomics and Pathomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu, Yuxi Gong, Weilin Xu, Xingjian Sun, Gefei Jiang, Lei Qiu, Kexin Shi, Mengxing Wu, Yinjiao Fei, Jinling Yuan, Jinyan Luo, Yurong Li, Yuandong Cao, Minhong Pan, Shu Zhou   +14 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  

Holder continuity of the steepest descent direction for multiobjective optimization

, 2018
The aim of this manuscript is to characterize the continuity properties of the multiobjective steepest descent direction for smooth objective functions. We will show that this direction is Holder continuous with optimal exponent 1/2. In particular, this direction fails to be Lipschitz continuous even for polynomial objectives.
openaire   +2 more sources

Remote Assessment of Ataxia Severity in SCA3 Across Multiple Centers and Time Points

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Spinocerebellar ataxia type 3 (SCA3) is a genetically defined ataxia. The Scale for Assessment and Rating of Ataxia (SARA) is a clinician‐reported outcome that measures ataxia severity at a single time point. In its standard application, SARA fails to capture short‐term fluctuations, limiting its sensitivity in trials.
Marcus Grobe‐Einsler, Vivian Maas, Arian Taheri Amin, Jennifer Faber, Tamara Schaprian, Katharina Hill, Matthis Synofzik, Lisa H. Graf, Heike Jacobi, Manuela Lima, Ana F. Ferreira, Bart P. van de Warrenburg, Ilse H. J. Willemse, Dagmar Timmann, Andreas Thieme, Paola Giunti, Hector Garcia‐Moreno, Magda M. Santana, Jeannette Hübener‐Schmid, Elin H. Davies, Thomas Klockgether   +20 more
wiley   +1 more source

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