Results 61 to 70 of about 1,519 (300)

Higher-Order Energy Expansions and Spike Locations

, 2004
We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
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

On the Dirichlet Problem For Degenerate Elliptic Equations

Publications of the Research Institute for Mathematical Sciences, 1987
In this paper a class of linear and degenerate elliptic problems is considered: the operator is uniformly elliptic in a neighbourhood of a domain of \({\mathbb{R}}\) but it degenerates in a very precise form on an interior part of it. A suitable associated weighted Sobolev space is introduced; this allows to describe and solve uniquely the ...
openaire   +3 more sources

Local Gradient Estimates for Degenerate Elliptic Equations [PDF]

Advanced Nonlinear Studies, 2016
Abstract This paper is focused on the local interior W 1 , ∞
Hoang, Luan, Nguyen, Truyen, Phan, Tuoc
openaire   +2 more sources

Existence results for a class of semilinear degenerate elliptic equations [PDF]

, 2003
summary:We prove existence results for the Dirichlet problem associated with an elliptic semilinear second-order equation of divergence form.
Bonafede, Salvatore
core   +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

Necessary and sufficient conditions for Hölder continuity of solutions of degenerate Schrödinger operators

Le Matematiche, 1997
In this paper it is studied the Hoelder-continuity of solutions of a linear degenerate elliptic equation of the form        (∗)          -Sum_ {i, j =1}^n    (a_{i j} u_{x_i} )_{x_j} + V u = 0.It is proved that the solutions of (∗) are Hoelder-continuous
Carmela Vitanza, Pietro Zamboni
doaj  

On the Dirichlet Problem to Elliptic Equation, the Order of which Degenerates at the Axis of a Cylinder

Mathematical Modelling and Analysis, 2017
In this article, an elliptic equation, which type degenerates (either weakly or strongly) at the axis of 3-dimensional cylinder, is considered. The statement of a Dirichlet type problem in the class of smooth functions is given and, subject to the type ...
Stasys Rutkauskas
doaj   +1 more source

A class of quasilinear degenerate elliptic problems

, 2003
We establish the existence of solutions for a class of quasilinear degenerate elliptic equations. The equations in this class satisfy a structure condition which provides ellipticity in the interior of the domain, and degeneracy only on the boundary ...
Čanić, Sunčica, Sunčica Čanić, Kim, Eun Heui, Eun Heui Kim   +3 more
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