Results 121 to 130 of about 10,711,362 (360)
Entire solutions of quasilinear elliptic equations
The author studies the entire solutions of non-homogeneous quasilinear elliptic equations for which the following two may serve as typical examples: \[ \begin{aligned} \Delta_pu\equiv \text{div}(|Du|^{p-2}Du) &=f(u), \quad p>1,\;x\in\mathbb R^n, \tag{1}\\ \text{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) &=f(u), \quad x\in\mathbb R^n.
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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
On the Transcendental Entire Solutions of a Certain Differential Equation and Fixed Points [PDF]
Tiantian Shen, Weiran Lü, Guangxue Chu
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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
wiley +1 more source
Order and hyper-order of entire solutions of linear differential equations with entire coefficients
In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1}( z)f^{( k-1) }+dots+A_{1}( z) f'+A_{0}(z) f=0, $$ where $A_{0}( z) ,dots, A_{k-1}(z)$ are entire functions with $A_{0}(z) otequiv 0$. We will show that
Benharrat Belaidi, Karima Hamani
doaj
ON RADIAL OSCILLATION OF ENTIRE SOLUTIONS TO NONHOMOGENEOUS ALGEBRAIC DIFFERENTIAL EQUATIONS [PDF]
Guowei Zhang
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Entire solutions of singular elliptic equations
This paper is concerned with the existence and asymptotic properties of solutions to the singular elliptic equation \[ -\Delta u=f(x)u^{- \lambda},\quad \lambda >0. \] It is assumed that f is positive and locally \(\alpha\)-Hölder continuous in \(R^ n\).
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An intracellular transporter mitigates the CO2‐induced decline in iron content in Arabidopsis shoots
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
A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
wiley +1 more source
A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system Δu - W_u (u) = 0 [PDF]
Nicholas D. Alikakos
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