Results 61 to 70 of about 10,181,115 (247)

Infinitely many sign-changing solutions for a Schrödinger equation

Advances in Difference Equations, 2011
We study a superlinear Schrödinger equation in the whole Euclidean space ℝn. By using a suitable sign-changing critical point, we prove that the problem admits infinitely many sign-changing solutions, under weaker conditions.
Qian Aixia
doaj  

Limits to the Hall Effect and Other Nonreciprocal Effects in Three‐Dimensional Metamaterials

Advanced Materials, EarlyView.
Comprehensive and fundamental bounds on nonreciprocal effects in three‐dimensional metamaterials are derived. They reveal that the effective Hall mobility cannot exceed the largest constituent mobility, that, under certain conditions, the Verdet constant cannot be enhanced, and that, for constituents with Hall coefficients of the same sign, the largest
Christian Kern, Graeme W. Milton
wiley   +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

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source

Analysis of an elliptic system with infinitely many solutions

Advances in Nonlinear Analysis, 2017
We consider the elliptic system Δ⁢u=up⁢vq${\Delta u\hskip-0.284528pt=\hskip-0.284528ptu^{p}v^{q}}$, Δ⁢v=ur⁢vs${\Delta v\hskip-0.284528pt=\hskip-0.284528ptu^{r}v^{s}}$ in Ω with the boundary conditions ∂⁡u/∂⁡η=λ⁢u${{\partial u/\partial\eta}=\lambda u}$, ∂⁡
Cortázar Carmen, Elgueta Manuel, García-Melián Jorge   +2 more
doaj   +1 more source

Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian

Journal of Inequalities and Applications, 2019
In the paper, we consider the following hemivariational inequality problem involving the fractional Laplacian: {(−Δ)su+λu∈α(x)∂F(x,u)x∈Ω,u=0x∈RN∖Ω, $$ \textstyle\begin{cases} (-\Delta )^{s}u+\lambda u\in \alpha (x) \partial F(x,u) & x \in \varOmega ...
Lijing Xi, Yuying Zhou
doaj   +1 more source

Infinitely many solutions for a Dirichlet problem involving the p-Laplacian

, 2010
The existence of infinitely many solutions for an autonomous elliptic Dirichlet problem involving the p-Laplacian is investigated. The approach is based on variational methods.
Giovanni Molica Bisci, Bonanno G, Molica Bisci G, Gabriele Bonanno   +3 more
core   +2 more sources

Infinitely many solutions for non-local problems with broken symmetry

Advances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella, De Nápoli Pablo L., Salvatore Addolorata   +2 more
doaj   +1 more source

Recent Progress in the Phase‐Controlled Synthesis of Ruthenium Nanocrystals for Catalytic Applications

Advanced Materials, EarlyView.
Template effect and kinetic control enable crystal‐phase engineering of Ru nanocrystals, granting access to either metastable fcc‐Ru or stable hcp‐Ru with distinct surface structures, thermal stabilities, and catalytic behaviors. Moreover, the hcp‐Ru can further serve as an epitaxial template to direct Pd and Rh nanocrystals into the metastable hcp ...
Jianlong He, Zhiqi Wang, Jiaqi Guan, Younan Xia   +3 more
wiley   +1 more source

Infinitely many solutions for a Dirichlet boundary value problem depending on two parameters [PDF]

, 2013
In this paper, using Ricceri's variational principle, we prove the existence of infinitely many weak solutions for a Dirichlet doubly eigenvalue boundary value ...
Afrouzi, Ghasem A., Hadjian, Armin
core   +1 more source