Results 61 to 70 of about 764,891 (332)
Infinitely many nonradial singular solutions of $Δu+e^u=0$ in $\mathbb{R}^N\backslash\{0\}$, $4\le N\le 10$ [PDF]
Proceedings of the Royal Society of Edinburgh, Section: A
Mathematics, 148 (2018), 133--147, 2015 We construct countably infinitely many nonradial singular solutions of the problem \[ \Delta u+e^u=0\ \ \textrm{in}\ \ \mathbb{R}^N\backslash\{0\},\ \ 4\le N\le 10 \] of the form \[ u(r,\sigma)=-2\log r+\log 2(N-2)+v(\sigma), \] where $v(\sigma)$ depends only on $\sigma\in \mathbb{S}^{N-1}$.
arxiv +1 more source
, 1993 The exact general evolution of circular strings in $2+1$ dimensional de Sitter spacetime is described closely and completely in terms of elliptic functions.
A.L. Larsen +12 more
core +1 more source
Advanced Engineering Materials, EarlyView.This study explores aerosol jet‐printed (AJP) surface roughness, its effects on the performance of microwave electronics, and its process contributors. First, an electromagnetic model is vetted for AJP's unique roughness signature. Simulations are built which show process‐induced roughness is as significant as conductor resistivity in driving microwave
Christopher Areias, Alkim Akyurtlu
wiley +1 more source
Infinitely many solutions for Kirchhoff type problems [PDF]
Differential Equations & Applications, 2013 This paper is devoted to the study of infinitely many solutions for a class of Kirchhoff type problems on a bounded domain. Based on the Fountain Theorem of Bartsch, we obtain the multiplicity results, which unify and sharply improve the recent results of He and Zou [X. He, W.
openaire +2 more sources
Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles
, 2016 It is conjectured that for every pair $(\ell,m)$ of odd integers greater than 2 with $m \equiv 1\; \pmod{\ell}$, there exists a cyclic two-factorization of $K_{\ell m}$ having exactly $(m-1)/2$ factors of type $\ell^m$ and all the others of type $m^{\ell}
Merola, Francesca, Traetta, Tommaso
core +1 more source
Impacts of Device Geometry and Layout on Temperature Profile during Large‐Area Photonic Curing
Advanced Engineering Materials, EarlyView.The study investigates how gate geometry affects peak curing temperature during photonic curing of solution‐processed indium zinc oxide thin‐film transistors. Using 3D simulations and experimental validation, it reveals that larger gate areas and smaller aspect ratios increase curing temperature and thus improve transistor performance. Findings provide
Yasir Fatha Abed +3 more
wiley +1 more source
Infinitely many solutions for resonance elliptic systems
Comptes Rendus. Mathématique, 2014 Abstract In this note, we study a class of resonance gradient elliptic systems and obtain infinitely many nontrivial solutions by using critical point theory.
Lin Li, Chun-Lei Tang
openaire +2 more sources
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley +1 more source
Advanced Functional Materials, EarlyView.Mesenchymal stem cell‐derived nanoghosts (MSC‐NGs) mimic naturally secreted extracellular vesicles (MSC‐EVs) in structure and physicochemical properties but can be synthesized at more translatable yields. As osteogenic agents, MSC‐NGs demonstrate superior outcomes compared to MSC‐EVs.
Antoine Karoichan +4 more
wiley +1 more source
Some remark on the existence of infinitely many nonphysical solutions to the incompressible Navier-Stokes equations [PDF]
arXiv, 2018 We prove that there exist infinitely many distributional solutions with infinite kinetic energy to the incompressible Navier-Stokes equations in $ \mathbb{R}^2 $. We prove as well the existence of infinitely many distributional solutions for Burgers equation in $ \mathbb{R} $.
arxiv