Results 61 to 70 of about 896,852 (317)
Electronic Journal of Differential Equations, 2018 In this article we study the perturbed fractional Schrodinger equation involving oscillatory terms $$\displaylines{ (-\Delta)^{\alpha} u+u =Q(x)\Big(f(u)+\epsilon g(u)\Big), \quad x\in \mathbb{R}^N\cr u\geq 0, }$$ where $\alpha\in (0, 1)$ and $N>
Chao Ji, Fei Fang
doaj
Multiple Solutions of Singular Perturbation Problems [PDF]
SIAM Journal on Mathematical Analysis, 1972 Under certain conditions on $g(x,u)$ we establish the existence and asymptotic behavior for small $\varepsilon > 0$ of multiple asymptotic solutions of the nonlinear boundary value problem \[ \begin{gathered} \varepsilon u'' + u' - g(x,u) = 0,\quad 0 0, \hfill \\ u'(1) + bu(1) = B > 0,\quad b > 0.
openaire +3 more sources
Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
Steady-state solutions for Schrodinger equations in photonic lattice
Electronic Journal of Differential Equations, 2018 In this article, we study a nonlinear Schrodinger equation arising in optics. Firstly we prove the existence of multiple solutions of this equation. Secondly, we consider a nonlinear Schrodinger system which is intimately related to the Schrodinger ...
Wen-Long Li
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source
Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter
Advances in Nonlinear Analysis, 2012 The homogeneous Dirichlet problem for an elliptic equation with p-Laplacian and concave-convex reaction term depending on a parameter is investigated.
Marano Salvatore A. +1 more
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FEBS Letters, EarlyView.In this study, we present the structure of AcrIE8.1, a previously uncharacterized anti‐CRISPR protein that inhibits the type I‐E CRISPR‐Cas system. Through a combination of structural and biochemical analyses, we demonstrate that AcrIE8.1 directly binds to the Cas11 subunit of the Cascade complex to inhibit the CRISPR‐Cas system.
Young Woo Kang, Hyun Ho Park
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An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
FEBS Letters, EarlyView.This study identifies a gene encoding a transmembrane protein, MIC, which contributes to the reduction of shoot Fe content observed in plants under elevated CO2. MIC is a putative Fe transporter localized to the Golgi and endosomal compartments. Its post‐translational regulation in roots may represent a potential target for improving plant nutrition ...
Timothy Mozzanino +7 more
wiley +1 more source
Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
Advances in Nonlinear Analysis, 2020 The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity.
Wang Fuliang, Hu Die, Xiang Mingqi
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How does framing influence preference for multiple solutions to societal problems? [PDF]
PLoS One, 2023 Wu JS, Kremen C, Zhao J.
europepmc +1 more source