Results 151 to 160 of about 1,542,295 (301)

A logarithmic uncertainty principle for functions with radial symmetry

Proceedings of the Edinburgh Mathematical Society
AbstractIn this paper, we prove a new uncertainty principle for functions with radial symmetry by differentiating a radial version of the Stein–Weiss inequality. The difficulty is to prove the differentiability in the limit of the best constant that unlike the general case it is not known.
Jacopo Bellazzini, Matteo Nesi
openaire   +4 more sources

Deterministic hBN Bubbles as a Versatile Platform for Studies on Single‐Photon Emitters

Advanced Functional Materials, EarlyView.
Single‐photon emitters (SPEs) in hBN are promising for quantum technologies; however, in exfoliated samples their activation is required, limiting reproducibility of previous studies. This work introduces a large‐area MOVPE‐grown hBN platform that hosts SPEs without prior activation.
Piotr Tatarczak, Tomasz Fąs, Jan Pawłowski, Aleksandra Krystyna Dąbrowska, Jan Suffczyński, Mateusz Tokarczyk, Piotr Wróbel, Andrzej Wysmołek, Johannes Binder   +8 more
wiley   +1 more source

Symmetries and covering maps for the minimal tension string on AdS 3 × S 3 × T 4

Journal of High Energy Physics
This paper considers a recently-proposed string theory on AdS 3 × S 3 × T 4 with one unit of NS-NS flux (k = 1). We discuss interpretations of the target space, including connections to twistor geometry and a more conventional spacetime interpretation ...
N. M. McStay, R. A. Reid-Edwards
doaj   +1 more source

Intermediate Resistive State in Wafer‐Scale Vertical MoS2 Memristors Through Lateral Silver Filament Growth for Artificial Synapse Applications

Advanced Functional Materials, EarlyView.
In MOCVD MoS2 memristors, a current compliance‐regulated Ag filament mechanism is revealed. The filament ruptures spontaneously during volatile switching, while subsequent growth proceeds vertically through the MoS2 layers and then laterally along the van der Waals gaps during nonvolatile switching.
Yuan Fa, Milan Buttberg, Ke Ran, Rana Walied Ahmad, Dennis Braun, Lukas Völkel, Jimin Lee, Sofía Cruces, Bart Macco, Bárbara Canto, Holger Lerch, Thorsten Wahlbrink, Holger Kalisch, Michael Heuken, Andrei Vescan, Joachim Mayer, Zhenxing Wang, Ilia Valov, Stephan Menzel, Max C. Lemme   +19 more
wiley   +1 more source

Weighted eigenvalue problems for the p-Laplacian with weights in weak Lebesgue spaces

Electronic Journal of Differential Equations, 2011
We consider the nonlinear eigenvalue problem $$ -Delta_p u= lambda g |u|^{p-2}u,quad uin mathcal{D}^{1,p}_0(Omega) $$ where $Delta_p$ is the p-Laplacian operator, $Omega$ is a connected domain in $mathbb{R}^N$ with $N>p$ and the weight function $g$
T. V. Anoop
doaj  

Liouville theorems for $p$-Laplace equations with critical Hardy–Hénon exponents

Comptes Rendus. Mathématique
This paper is concerned with possibly sign-changing solutions to the critical $p$-Laplace equation $-\Delta _p u = \vert {x}\vert ^\alpha \vert {u}\vert ^{p^*_\alpha -2}u$ in $\Omega $, $u=0$ on $\partial \Omega $, where $1-p$, $p^*_\alpha =\frac{(N ...
Le, Diem Hang T., Le, Phuong
doaj   +1 more source

Bio‐Inspired Molecular Events in Poly(Ionic Liquids)

Advanced Functional Materials, EarlyView.
Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
wiley   +1 more source

Radial Symmetry of Positive Solutions of Nonlinear Elliptic Equations

Journal of Differential Equations, 1999
Three results concerning the radial symmetry and asymptotic behaviour at \(x=\infty\) of positive solutions of \[ \Delta u = \varphi(\mid x\mid)u^{\lambda}, \quad x\in \mathbb{R}^n \] and \(|x|\) large are presented. Here \(\lambda>1\) and \(\varphi(r)\) is positive and continuous for \(r\) large. There are three cases which are separately analysed: (I)
openaire   +1 more source

Fluorine‐Free Soft Nanocomposites for High‐Speed Liquid Impact Repellence

Advanced Functional Materials, EarlyView.
Fluorine‐free soft nanocomposite coatings are developed using silicone oil‐mediated mechanical‐stiffness control, enabling ‘dry’ liquid‐repellent surfaces that resist high‐speed water jet impacts up to ∼60 m/s. By tuning nanoparticle loading and oil content, the coatings also achieve >90% optical transparency, amphiphobicity with impact resistance to ...
Priya Mandal, Vikramjeet Singh, Rohit Gupta, Prasenjit Kabi, Manish K. Tiwari   +4 more
wiley   +1 more source

Asymptotic behavior of singular solutions to semilinear fractional elliptic equations

Electronic Journal of Differential Equations, 2014
In this article we study the asymptotic behavior of positive singular solutions to the equation $$ (-\Delta)^{\alpha} u+u^p=0\quad\text{in } \Omega\setminus\{0\}, $$ subject to the conditions $u=0$ in $\Omega^c$ and $\lim_{x\to0}u(x)=\infty ...
Guowei Lin, Xiongjun Zheng
doaj