Results 91 to 100 of about 12,047 (285)

INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS

Taiwanese Journal of Mathematics, 2015
In this paper, we deal with the existence of infinitely many solutions for a class of sublinear Schrodinger equation $$ \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \ \ \ \ x\in {\mathbb{R}}^{N},\\ u\in H^{1}({\mathbb{R}}^{N}). \end{array} \right. $$ Under the assumptions that $\inf_{{\mathbb{R}}^{N}}V(x) >0$ and $f(x,
Chen, Jing, Tang, X. H.
openaire   +2 more sources

Artificial Intelligence‐Assisted Workflow for Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling

Advanced Materials, EarlyView.
AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll, Ivan Pinto‐Huguet, Enzo Rotunno, Thomas Galvani, Catalina Coll, Payam Habibzadeh Kavkani, Maria Chiara Spadaro, Yann‐Michel Niquet, Martin Børstad Eriksen, Sara Martí‐Sánchez, Georgios Katsaros, Giordano Scappucci, Peter Krogstrup, Giovanni Isella, Andreu Cabot, Gonzalo Merino, Pablo Ordejón, Stephan Roche, Vincenzo Grillo, Jordi Arbiol   +19 more
wiley   +1 more source

Infinitely many solutions for a class of Kirchhoff-type equations

Open Mathematics
In this article, we consider a class of Kirchhoff-type equations: −a+b∫Ω∣∇u∣2dxΔu=f(x,u),x∈Ω,u=0,x∈∂Ω.\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle \int }\limits_{\Omega }{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=f\left(x,u),\hspace{1.0em}& x ...
Zhou Qin, Zeng Jing
doaj   +1 more source

Energetic Offset in Organic Solar Cells‐ Importance, Confusion and Outlook

Advanced Materials, EarlyView.
Energetic offsets in organic solar cells (OSCs) remain a subject of debate due to measurement‐ and lab‐dependent discrepancies. This Perspective clarifies the physical origins of these variations and identifies temperature‐dependent electro‐optical methods as a reliable approach to obtain consistent offset values.
Nakul Jain, Xian'e Li, Mats Fahlman, Olle Inganäs, Koen Vandewal, Feng Gao   +5 more
wiley   +1 more source

Infinitely many solutions for Kirchhoff-type problems depending on a parameter

Electronic Journal of Differential Equations, 2016
In this article, we study a Kirchhoff type problem with a positive parameter $\lambda$, $$\displaylines{ -K\Big( \int_{\Omega }|\nabla u|^{2}dx\Big) \Delta u=\lambda f(x,u) , \quad \text{in } \Omega , \cr u=0, \quad \text{on } \partial \Omega , }$
Juntao Sun, Yongbao Ji, Tsung-fang Wu
doaj  

Infinitely many solutions for a Hénon-type system in hyperbolic space

Advances in Difference Equations, 2020
This paper is devoted to studying the semilinear elliptic system of Hénon type {−ΔBNu=K(d(x))Qu(u,v),−ΔBNv=K(d(x))Qv(u,v),u,v∈Hr1(BN),N≥3, $$ \textstyle\begin{cases} -\Delta _{\mathbb{B}^{N}}u= K(d(x))Q_{u}(u,v), \\ -\Delta _{\mathbb{B}^{N}}v= K(d(x))Q_ ...
Patrícia Leal da Cunha, Flávio Almeida Lemos   +1 more
doaj   +1 more source

LEAD: Literature Enhanced Ab Initio Discovery of Nitride Dusting Layers for Enhanced Tunnel Magnetoresistance and Lower Resistance Magnetic Tunnel Junctions

Advanced Materials, EarlyView.
Magnetic tunnel junctions (MTJs) using MgO tunnel barriers face challenges of high resistance‐area product and low tunnel magnetoresistance (TMR). To discover alternative materials, Literature Enhanced Ab initio Discovery (LEAD) is developed. The LEAD‐predicted materials are theoretically evaluated, showing that MTJs with dusting of ScN or TiN on ...
Sabiq Islam, William S. Rogers, Chen‐Yu Hu, Ming‐Yuan Song, Xinyu Bao, Shehrin Sayed, Jean Anne C. Incorvia   +6 more
wiley   +1 more source

Large‐Area 2D Metasurface‐Based Triboelectric E‐Skin Arrays: Contact & Proximity Tactile Mapping with Broadband Acoustic Readouts

Advanced Materials, EarlyView.
Metasurface‐engineered NC‐TENG arrays integrate tactile pressure mapping, non‐contact gesture sensing, and acoustic signal readouts in one ultrathin module, and outperforms pristine PDMS in terms of electrical output and real‐time spatial mapping for next‐gen wearables.
Injamamul Arief, Swagato Sarkar, Anik Kumar Ghosh, Osvalds Verners, Kamal Kumar Meena, Su‐Hyeong Lee, Soosang Chae, Tobias A. F. König, Beate Krause, Andreas Fery, Mehmet Sait Özer, Anindya Nag, Amit Das   +12 more
wiley   +1 more source

Existence of infinitely many solutions for fourth-order equations depending on two parameters

Electronic Journal of Differential Equations, 2017
By using variational methods and critical point theory, we establish the existence of infinitely many classical solutions for a fourth-order differential equation. This equation has nonlinear boundary conditions and depends on two real parameters.
Armin Hadjian, Maryam Ramezani
doaj  

Actuation of Cell Layers in Three Dimensions

Advanced Materials, EarlyView.
ABSTRACT The alignment of fibers and cells in living tissues affect their mechanical properties and functionality. In this context, one can draw an analogy between tissues and nematic liquid crystal elastomers. We explore this analogy by growing fibroblasts on 2D‐patterned substrates and observing the contraction of cell sheets upon detachment from the
Kirsten Endresen, Aniruddh Murali, Birte C. Geerds, Grecia M. Valenzuela Portillo, Maria Bloksgaard, Daniel J.G. Pearce, Francesca Serra   +6 more
wiley   +1 more source