Results 41 to 50 of about 3,081 (308)

A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain

, 2009
The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce, Natalia Kopteva, Kopteva, Natalia, R. Bruce Kellogg   +3 more
core   +1 more source

Chiral Phase Change Nanomaterials

Advanced Functional Materials, EarlyView.
This work demonstrates reversible, non‐volatile phase transitions in chiral Ge2${\rm Ge}_2$Sb2${\rm Sb}_2$Te5${\rm Te}_5$ (GST) nanohelices for high‐speed optical modulation of chirality and dynamic control of the state of polarization (SOP). The chiral nanostructures are fabricated using a highly directional, wafer‐scale physical vapor deposition ...
Joshua A. Burrow, Md Shah Alam, Riad Yahiaoui, Evan M. Smith, Ryan Laing, Jules Gardener, Thomas A. Searles, Piyush J. Shah, Shivashankar Vangala, Joshua R. Hendrickson, Andrew M. Sarangan, Imad Agha   +11 more
wiley   +1 more source

Application of Ibuprofen Sodium Dihydrate for Thermochemical Energy Storage

Advanced Functional Materials, EarlyView.
Ibuprofen sodium dihydrate is introduced as a durable organic salt hydrate for low‐temperature thermochemical energy storage, operating within 60°C–110°C with high energy density. At the material level, it delivers ∼99.9% cycling efficiency over 150 cycles without deliquescence, enabled by a dual energy‐storage mechanism coupling dehydration and phase ...
Kavin Chakravarthy Thangaraj, Hannah F. Chang, Shannon J. Lee, Mark E. Bowden, J. David Bazak, Vaithiyalingam Shutthanandan, Venkateshkumar Prabhakaran, Xiao Zhang, David M. Reed, Ajay S. Karakoti, Vijayakumar Murugesan   +10 more
wiley   +1 more source

The Dirichlet problem for fully nonlinear degenerate elliptic equations with a singular nonlinearity [PDF]

, 2019
We investigate the homogeneous Dirichlet problem in uniformly convex domains for a large class of degenerate elliptic equations with singular zero order term.
Galise G., Birindelli I.
core   +1 more source

Twin Crystal Moiré Metasurfaces for Crossing Flat‐Band Transport

Advanced Functional Materials, EarlyView.
This study introduces twin crystal moiré metasurfaces, breaking in‐plane symmetry to enable reconfigurable acoustic wave manipulation. By adjusting the twin angle and interlayer twist angle, various combinations of hyperbolic, flat bands, and elliptic states can be synthesized in the system.
Shida Fan, Chenglin Han, Kuan He, Chadi Ellouzi, Yunlong Wang, Li‐Qun Chen, Jie Sun, Zhaodong Xu, Chen Shen, Tianzhi Yang   +9 more
wiley   +1 more source

Octonions and Singular Solutions of Hessian Elliptic Equations [PDF]

Geometric and Functional Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nadirashvili, Nikolai, Vlăduţ, Serge
openaire   +1 more source

Schrödinger operators with δ and δ′-potentials supported on hypersurfaces

, 2013
Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir, Behrndt, Jussi, Langer, Matthias   +2 more
core   +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

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  

NONLINEAR ELLIPTIC EQUATIONS WITH SINGULAR REACTION

Osaka Journal of Mathematics, 2016
We study a nonlinear elliptic equation with a singular term and a continuous perturbation. We look for positive solutions. We prove three multiplicity theorems producing at least two positive solutions. The first multiplicity theorem concerns equations driven by a nonhomogeneous in general differential operator.
Papageorgiou, Nikolaos S, Smyrlis, George   +1 more
openaire   +3 more sources