Results 101 to 110 of about 1,150,426 (301)

On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider weak solutions to nonlinear elliptic systems with non-differentiable coefficients which principal parts are split into linear and nonlinear ones. Assuming that the nonlinear part $g(x,u,z)$ is equipped by sub-linear growth in $z$ only for big
Josef Daněček, Eugen Viszus
doaj   +1 more source

Towards Nonlinearity: The p-Regularity Theory

Entropy
We present recent advances in the analysis of nonlinear problems involving singular (degenerate) operators. The results are obtained within the framework of p-regularity theory, which has been successfully developed over the past four decades. We illustrate the theory with applications to degenerate problems in various areas of mathematics, including ...
Ewa M. Bednarczuk, Olga Brezhneva, Krzysztof Lesniewski, Agnieszka Prusinska, Alexey Tret'yakov   +4 more
openaire   +3 more sources

Machine Learning‐Driven Design of Multicomponent Bone Inorganic Matrix Mimicking Scaffolds for Osteogenesis Enhanced by Neurogenesis

Advanced Science, EarlyView.
Schematic illustration of development of experimental datasets and algorithm models, screening and preparation of the scaffolds and their applications in vivo. ABSTRACT Bone defects require materials with osteogenic, neurogenic, and angiogenic activity, yet designing such materials within high‐dimensional compositional spaces remains challenging. Here,
Kunlu Lin, Ying Yang, Chuyao Zhou, Hanyue Mao, Zhiquan Zhang, Libangxi Liu, Xiaoying Yu, Haoming Liu, Long Liu, Xiaoyan Wang   +9 more
wiley   +1 more source

MetaboSense: An Integrated Quantum Dot‐Mediated Aptamer Assay and Modular Microfluidic Platform for Continuous In‐Line Monitoring of Lung Metabolism During Ex Vivo Perfusion

Advanced Science, EarlyView.
MetaboSense is a first‐of‐its‐kind microfluidic platform enabling continuous, in‐line monitoring of glucose and lactate during ex vivo lung perfusion. Combining a quantum dot–mediated aptamer assay with mixing, depletion, and optofluidic detection modules, it achieves 60–s temporal resolution and shows strong agreement with standard blood gas analyzers,
Sanjana Srikant, Pouyan Keshavarz Motamed, Thomas Borrillo, Lielle Ronen, Gabriel Siebiger, Guillermo Garza, Hesam Abouali, Md Fahim Al Fattah, Ines Jaber, Dayan Ban, Marcelo Cypel, Mingyao Liu, Shaf Keshavjee, Andrew T. Sage, Mahla Poudineh   +14 more
wiley   +1 more source

Nonlinear elliptic equations and Gauss measure

Le Matematiche, 2006
We prove existence and regularity results for weak solutions to nonlinear elliptic equations.
Giuseppina Di Blasio, Filomena Feo
doaj  

A regularity theorem for fully nonlinear maximally subelliptic PDE [PDF]

We prove a sharp interior regularity theorem for fully nonlinear maximally subelliptic PDE in non-isotropic Sobolev spaces adapted to maximally subelliptic operators.
Memana, Gautam Neelakantan
core  

Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing

Advanced Science, EarlyView.
An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang, Rui Wang, Bo Lu, Ming‐Liang Song, Yu‐Yi Chen, Kuo Han, Xin‐Jie Feng, Bin Sun, Yao‐Guang Cao, Xiao‐Yu Yan, Shi‐Chun Yang   +10 more
wiley   +1 more source

Regularity on the interior for the gradient of weak solutions to nonlinear second-order elliptic systems

Electronic Journal of Differential Equations, 2013
We consider weak solutions to the Dirichlet problem for nonlinear elliptic systems. Under suitable conditions on the coefficients of the systems we obtain everywhere H"older regularity on the interior for the gradients of weak solutions.
Josef Danecek, Eugen Viszus
doaj  

Perceived Time Shapes Physical Fatigue Accumulation and Its Neural Oscillatory Correlates

Advanced Science, EarlyView.
Can a clock change the course of physical fatigue? By covertly manipulating the clock calibration during repeated isometric contractions, we showed that perceived time shapes fatigue accumulation and frontal oscillatory dynamics. While fatigue accumulation was only reduced when the clock was slowed down, frontal oscillatory dynamics followed perceived ...
Pierre‐Marie Matta, Julien Duclay, Robin Baurès, Andrea Alamia   +3 more
wiley   +1 more source

Heteroatom‐Mediated Covalent Organic Framework Membranes With Nitrogen‐Enriched Nanochannels for Efficient Desalination

Advanced Science, EarlyView.
Heteroatom precursor engineering serves as a molecular‐level strategy to tailor hydrazide monomer reactivity and diffusion kinetics, enabling controlled assembly of highly crystalline COF membranes with ultramicroporous channels. The nitrogen‐enriched nanochannels deliver high water/ion selectivity via simultaneous water transport acceleration and ion ...
Guishan Hu, Muning Chen, Yunqiu Zhou, Yu Zhen, Miaomiao Tian, Yatao Zhang, Jingwei Hou, Junyong Zhu, Yong Wang   +8 more
wiley   +1 more source