On infinite versions of the prisoner problem [PDF]
arXivWe investigate some versions of the famous 100 prisoner problem for the infinite case, where there are infinitely many prisoners and infinitely many boxes with labels. In this case, many questions can be asked about the admissible steps of the prisoners, the constraints they have to follow and also about the releasing conditions.
arxiv
Computational Simulations of Metal–Organic Frameworks to Enhance Adsorption Applications
Advanced Materials, EarlyView.This review highlights the significance of molecular simulations in expanding the understanding of metal–organic frameworks (MOFs) and improving their gas adsorption applications. The historical development and implementation of molecular simulations in the MOF field are given, high‐throughput computational screening studies used to unlock the ...
Hilal Daglar +3 more
wiley +1 more source
Infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems [PDF]
arXiv, 2015 In this paper, we mainly consider the existence of infinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systems $\ddot{u}-L(t)u+W_u(t,u)=0$, where $L(t)$ is not necessarily positive definite and the growth rate of potential function $W$ can be in $(1,3/2)$. Using the variant fountain theorem, we obtain the existence
arxiv
Infinitely many large energy solutions of superlinear Schrodinger-Maxwell equations
Electronic Journal of Differential Equations, 2012 In this article we study the existence of infinitely many large energy solutions for the superlinear Schrodinger-Maxwell equations $$displaylines{ -Delta u+V(x)u+ phi u=f(x,u) quad hbox{in }mathbb{R}^3,cr -Delta phi=u^2, quad hbox{in }mathbb{R}^3, }
Lin Li, Shang-Jie Chen
doaj
INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES [PDF]
, 2002 Pasquale Candito
openalex +1 more source
Materials, Structure, and Interface of Stretchable Interconnects for Wearable Bioelectronics
Advanced Materials, EarlyView.Stretchable interconnects are one of the fundamental components in achieving robust wearable devices, but their importance is often overlooked. This review highlights their importance and provides insightful information on various materials, configurations, and manufacturing approaches being studied for interconnects.
Yue Li +3 more
wiley +1 more source
Infinitely Many Normalized Solutions for a Quasilinear Schrödinger Equation
The Journal of Geometric AnalysisIn this paper, we are concerned with a quasilinear Schrodinger equation with well-known Berestycki--Lions nonliearity. The existence of infinitely many normalized solutions is obtained via a minimax argument.
Yang, Xianyong, Zhao, Fukun
openaire +2 more sources
Synthetic Aspects and Characterization Needs in MOF Chemistry – from Discovery to Applications
Advanced Materials, EarlyView.Overcoming the challenges of phase discovery, synthesis optimization and scale‐up, characterization, and computational studies is essential to accelerate the large‐scale application of MOFs. Life‐cycle analyses and techno‐economic analyses need to be performed to realistically assess their potential for industrial relevance.
Bastian Achenbach +4 more
wiley +1 more source
Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions [PDF]
arXivRegarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and provide examples satisfying those criteria that have uncountably many unstable perturbations.
arxiv
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Advanced Materials, EarlyView.Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman +3 more
wiley +1 more source