Results 81 to 90 of about 946,958 (320)

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

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

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  

Mimicking Block Copolymer Self‐Assembly with One‐Pot Synthesized Polyphosphoester Gradient Copolymers

Advanced Functional Materials, EarlyView.
Degradable Polyphosphoester (PPE) gradient copolymers (GCPs) are synthesized via one‐pot copolymerization. We show that GCPs self‐assemble into nanostructures like polymersomes, effectively mimicking the behavior of traditional BCPs. The gradient strength is key, with softer gradients favoring micelles.
Suna Azhdari, Timo Rheinberger, Ulrich Mansfeld, Yorick Post, Jürgen Linders, Olga Koshkina, André H. Gröschel, Frederik R. Wurm   +7 more
wiley   +1 more source

Programmable In‐Situ Interactions Between Resins and Photopolymerized Structures for Seamlessly Integrated Optical Manufacturing of Microlenses

Advanced Functional Materials, EarlyView.
This study presents a dynamic interaction between liquid resins and photopolymerized structures enabled by an in situ light‐writing setup. By controlling a three‐phase interface through localized photopolymerization, which provides physical confinement for the remaining uncured resin regions, the approach establishes a programmable pathway that ...
Kibeom Kim, Sangmin Oh, Kahyun Hur, Hyesung Cho   +3 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  

CSG: A new stochastic gradient method for the efficient solution of structural optimization problems with infinitely many states [PDF]

, 2020
Lukas Pflug, Niklas Bernhardt, Max Grieshammer, Michael Stingl   +3 more
openalex   +1 more source

Infinitely many solutions for a class of superquadratic fractional Hamiltonian systems

, 2018
Applying a variant fountain theorem, we prove the existence of infinitely many solutions for a class of fractional Hamiltonian systems { tD∞(−∞D t u)(t)+L(t)u(t) = ∇W (t,u(t)), t ∈ R u ∈ Hα (R, RN), where tD∞ and −∞D t are the Liouville-Weyl fractional ...
M. Timoumi
semanticscholar   +1 more source

Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries

Advanced Functional Materials, EarlyView.
Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du, Kaidi Zhang, Liang Wang, Di Zhao, Mengqing Hu, Mingli Li, Ming Zhou, Zhenzhen Wu, Mengyang Dong, Bo Fu, Porun Liu, Yun Wang, Hongxia Wang, Yuantong Gu, Lei Zhang   +14 more
wiley   +1 more source

Infinitely many solutions to quasilinear Schrödinger equations with critical exponent

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This paper is concerned with the following quasilinear Schrödinger equations with critical exponent: \begin{equation*}\label{eqS0.1} - \Delta _p u+ V(x)|u|^{p-2}u - \Delta _p(|u|^{2\omega}) |u|^{2\omega-2}u = a k(x)|u|^{q-2}u+b |u|^{2\omega p^{*}-2}
Li Wang, Jixiu Wang, Xiongzheng Li
doaj   +1 more source