Results 41 to 50 of about 946,958 (320)
Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings [PDF]
, 2015 In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded ...
Choi, Woocheol, Seok, Jinmyoung
core
Bayesian Estimation Improves Prediction of Outcomes After Epilepsy Surgery
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT We estimated the statistical power of studies predicting seizure freedom after epilepsy surgery. We extracted data from a Cochrane meta‐analysis. The median power across all studies was 14%. Studies with a median sample size or less (n ≤ 56) and a statistically significant result exaggerated the true effect size by a factor of 5.4, while the ...
Adam S. Dickey +4 more
wiley +1 more source
Infinitely many solutions at a resonance
Electronic Journal of Differential Equations, 2000 We use bifurcation theory to show the existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems in one dimension.
Philip Korman, Yi Li
doaj
Advanced Functional Materials, EarlyView.The layer‐by‐layer (LbL) assembly of coordination solids, enabled by the surface‐mounted metal‐organic framework (SURMOF) platform, is on the cusp of generating the organic counterpart of the epitaxy of inorganics. The programmable and sequential SURMOF protocol, optimized by machine learning (ML), is suited for accessing high‐quality thin films of ...
Zhengtao Xu +2 more
wiley +1 more source
Infinitely Many Solutions for a Robin Boundary Value Problem
International Journal of Differential Equations, 2010 By combining the embedding arguments and the variational methods, we obtain infinitely many solutions for a class of superlinear elliptic problems with the Robin boundary value under weaker conditions.
Aixia Qian, Chong Li
doaj +1 more source
Advanced Functional Materials, EarlyView.HKUST‐1/TiO2 composite materials show a very high photocatalytic hydrogen evolution rate which increases as a function of the irradiation time until reaching a plateau and even surpasses the performance of the 1%Pt/TiO2 material after three photocatalytic cycles.
Alisha Khan +9 more
wiley +1 more source
Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
Advances in Nonlinear Analysis, 2022 In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}.
Li Gui-Dong, Li Yong-Yong, Tang Chun-Lei
doaj +1 more source
INFINITELY MANY SOLUTIONS FOR A ZERO MASS SCHRÖDINGER-POISSON-SLATER PROBLEM WITH CRITICAL GROWTH
The Journal of Applied Analysis and Computation, 2019 In this paper, we are concerned with the following SchrödingerPoisson-Slater problem with critical growth: −∆u+ (u ? 1 |4πx| )u = μk(x)|u| u+ |u|u in R. We use a measure representation concentration-compactness principle of Lions to prove that the (PS)c ...
Liu Yang, Zhisu Liu
semanticscholar +1 more source
Light‐Controlled Reversible Coassembly of Hybrid Functional Nanostructures
Advanced Functional Materials, EarlyView.Light‐responsive hybrid nanostructures are formed by coassembling azobenzene‐ and PAH‐functionalized nanoparticles through reversible an tunable π interactions. The system enables tunable coupling between distinct components such as gold and magnetite or carbon nanotubes, producing switchable optical and magnetic properties under light and magnetic ...
Michal Sawczyk +5 more
wiley +1 more source
Existence results for fully nonlinear equations in radial domains
, 2016 We consider the fully nonlinear problem \begin{equation*} \begin{cases} -F(x,D^2u)=|u|^{p-1}u & \text{in $\Omega$}\\ u=0 & \text{on $\partial\Omega$} \end{cases} \end{equation*} where $F$ is uniformly elliptic, $p>1$ and $\Omega$ is either an annulus or ...
Galise, Giulio +2 more
core +1 more source