Results 51 to 60 of about 84,584,312 (256)

Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems

Electronic Journal of Differential Equations, 2012
The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, two, or three solutions ...
Gabriele Bonanno, Elisabetta Tornatore
doaj  

Infinitely many solutions for a Neumann elliptic system with ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ), q(\cdot ))$ -Laplacian type operator

Boundary Value Problems
This paper is concerned with a system of nonlinear elliptic equations driven by ( p ( ⋅ ) , q ( ⋅ ) ) $(p(\cdot ), q(\cdot ))$ -Laplacian type operators with variable exponents, subject to homogeneous Neumann boundary conditions.
Ahmed Ahmed, Khaled Kefi
doaj   +1 more source

Engineered Nanotopography to Modulate Growth and Signaling of Neuronal Networks

Advanced Functional Materials, EarlyView.
This study examines the interaction between neurons and nanoscale topographies on engineered substrates. Neurons cultured on nanowires, nanopillars and nanoneedles exhibit enhanced neurite outgrowth, form more organized neuronal circuits, and display improved synaptic connectivity, compared to flat substrates.
Hao Nguyen Tran, Kalyan Shobhana, Zlatan Trifunovic, Dan Smith, Michael Stuiber, Chennupati Jagadish, Mirella Dottori, Andrea J. O'Connor, Vini Gautam   +8 more
wiley   +1 more source

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

Advanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

Embedded Direct Ink Writing of Thermoset and Elastomeric Polymers via Frontal Polymerization

Advanced Functional Materials, EarlyView.
Embedded frontal polymerization direct ink writing (FP‐DIW) combines frontal ring‐opening metathesis polymerization with embedded 3D printing to decouple deposition from curing. A yield‐stress support bath stabilizes low‐viscosity inks, while on‐demand thermal initiation enables controlled front propagation. This approach expands the accessible feature
Mohammad Tanver Hossain, Yun Seong Kim, Pallab Layak, Pranav Krishnan, Young bum Lee, Minjiang Zhu, Shubh Singh, Philippe H. Geubelle, Paul V. Braun, Jeffery W. Baur, Nancy R. Sottos, Sameh H. Tawfick, Randy H. Ewoldt   +12 more
wiley   +1 more source

Gluing approximate solutions of minimum type on the Nehari manifold

Electronic Journal of Differential Equations, 2001
In the last decade or so, variational gluing methods have been widely used to construct homoclinic and heteroclinic type solutions of nonlinear elliptic equations and Hamiltonian systems.
Yanyan Li, Zhi-Qiang Wang
doaj  

Optimized Schwarz methods for Maxwell's equations [PDF]

, 2009
Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita, Gerardo-Giorda, L., Dolean, Victorita, Gerardo-Giorda, Luca, Gander, M.J., Gander, Martin Jakob, Gander, Martin   +6 more
core   +1 more source

Bioinspired Hydrogels with Broadly Programmable Mechanics for Soft‐Tissue Interfaces

Advanced Functional Materials, EarlyView.
Sea cucumber‐inspired gelatin hydrogels are formed by directional freezing and mechanically programmed through subsequent ionic treatment. Multiscale characterization and modeling link ion‐regulated chain interactions to directional load transfer within the aligned hierarchical architecture.
Youchao Teng, TzuChun Chung, Katpady Akhil Tantry, Siyu Wu, Jing Tian, Yunqi Cui, Lanyu Li, Yongzan Zhou, Zhilei Zhang, Zhe Su, Gaili Cao, Kun‐Wei Yeh, Ruipeng Li, Xianghui Xiao, Adam F. G. Leontowich, Yuan‐Yu Hsueh, Zhao Pan, Kam C. Tam, Badri Narayanan, Song Li, Yimin. A. Wu   +20 more
wiley   +1 more source

Uncertainty quantification and weak approximation of an elliptic inverse problem [PDF]

, 2011
We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium. Mathematically the problem is to find the diffusion coefficient for a linear uniformly elliptic partial differential equation ...
Worthington, Claire, Robinson, Stewart, Davis, Neil D., Radnor, Zoe, Cooke, Matthew W, Burgess, Nicola, Cooke, Matthew, M. Dashti, Davies, Neil, Dashti, M., A. M. Stuart, Masoumeh Dashti (4463344), Worthington, Claire H, A M Stuart (13396491), Stuart, A. M.   +14 more
core   +2 more sources

Drop‐on‐Demand Printed Negative Dielectric Anisotropy Liquid Crystal Droplets for Adaptive Complex Beam Manipulation and Assessment

Advanced Functional Materials, EarlyView.
Printed negative‐dielectric‐anisotropy liquid‐crystal droplets enable multidimensional full‐vectorial optical‐field sensing across polarization, phase, and wavelength, while also generating tunable skyrmionic‐like complex optical fields. ABSTRACT Adaptive manipulation of vectorial optical fields is important for optical metrology, imaging, and ...
Jinge Guo, Xuke Qiu, Runchen Zhang, Qihao Han, Liangyu Deng, Yishun Lu, Zimo Zhao, Mengmeng Li, Waqas Kamal, Junseok Ma, Yongge Ma, Steve J. Elston, Alfonso A. Castrejón‐Pita, Stephen M. Morris, Chao He   +14 more
wiley   +1 more source