Results 51 to 60 of about 11,643 (311)

Bounds and compactness for solutions of second-order elliptic equations

Electronic Journal of Differential Equations, 2012
In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.
Carlos C. Aranda
doaj  

Coating Artificial Spider Silk Fiber with Magnetic FeCo: An Effective Strategy for Creating a Flexible Magneto‐Responsive Material

Advanced Functional Materials, EarlyView.
An original method is presented for producing artificial spider silk fibers with magnetic and magnetomechanical responsiveness, which consists in coating them with a nanometer‐thick layer of FeCo alloy by sputtering deposition. The challenge of combining organic materials and inorganic magnetic nanostructures is addressed, thus taking a step forward ...
Filippo Lanaro, Federico Spizzo, Gabriele Greco, Benjamin Schmuck, Anna Rising, Lucia Del Bianco   +5 more
wiley   +1 more source

On the Phragmén–Lindelöf principle for second-order elliptic equations

Journal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

On second order elliptic and parabolic equations of mixed type

Journal of Functional Analysis, 2017
It is known that solutions to second order uniformly elliptic and parabolic equations, either in divergence or nondivergence (general) form, are Hölder continuous and satisfy the interior Harnack inequality. We show that even in the one-dimensional case ($x\in R^1$), these properties are not preserved for equations of mixed divergence-nondivergence ...
Chen, Gong, Safonov, Mikhail
openaire   +3 more sources

Second-order boundary estimates for solutions to singular elliptic equations

Electronic Journal of Differential Equations, 2009
Let $Omegasubset R^N$ be a bounded smooth domain. We investigate the effect of the mean curvature of the boundary $partialOmega$ in the behaviour of the solution to the homogeneous Dirichlet boundary value problem for the singular semilinear equation
Claudia Anedda
doaj  

3D Printing Innovations in Polymeric Porous and Patterned Architecture

Advanced Functional Materials, EarlyView.
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil, Sri Vaishnavi Thummalapalli, Clarissa Westover, Arunachalam Ramanathan, M. Taylor Sobzcak, Roumika Patil, Qixuan Xiang, Tiantian Li, Sui Yang, Timothy E. Long, Hongyue Sun, Xianqiao Wang, Yang Liu, Kenan Song   +13 more
wiley   +1 more source

Homogenization of elastic plate equation∗

Mathematical Modelling and Analysis, 2018
We are interested in general homogenization theory for fourth-order elliptic equation describing the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. Such theory is well-developed for second-order elliptic problems,
Krešimir Burazin, Jelena Jankov, Marko Vrdoljak   +2 more
doaj   +1 more source

Vacuum Formed Spherical Triboelectric Architecture Overcoming Direction Constraints for 3D‐Omnidirectional Ultrasonic Energy Receiving

Advanced Functional Materials, EarlyView.
First vacuum formed spherical triboelectric converter for 3D‐omnidirectional ultrasonic energy receiving, with configurable DC or pulse outputs for versatile applications. ABSTRACT Ultrasound‐driven triboelectric nanogenerators (UD‐TENGs) have emerged as promising ultrasonic energy converters for underwater and biomedical applications.
Yanqin Huang, Mengjie Qin, Zixuan He, Xu Yang, Wenjie Chen, Siya Zhou, Qiyuan Zhang, Zhangwei Wang, Yicheng Wang, Yonghong Cheng, Daniel M. Mulvihill, Sandy Cochran, Qingshen Jing   +12 more
wiley   +1 more source

Some auxiliary estimates for solutions to non-uniformly degenerate second-order elliptic equations

Вестник Самарского университета: Естественнонаучная серия
We consider a class of second order elliptic equations in divergence form with non-uniform exponential degeneracy. The method used is based on the fact that the degeneracy rates of the eigenvalues of the matrix ||aij(x)||(function λi(x)) are not the ...
Sarvan T. Huseynov, Mushfig J. Aliyev
doaj   +1 more source

Natural Biomaterials for Osteochondral Repair: From Source to Strategy

Advanced Healthcare Materials, EarlyView.
Biological origin‐guided overview of natural biomaterials and therapeutic strategies for osteochondral tissue engineering. The circular diagram categorizes representative materials and strategies into plant/algae‐derived, microbial‐derived, animal‐derived, and human‐derived sources, centered on an osteochondral defect repair model.
Hengyu Liu, Hanyang Zhang, Wenbo Yang, Hao Chen, Jincheng Wang, Fei Chang   +5 more
wiley   +1 more source