Results 91 to 100 of about 824,119 (290)
Decaying positive entire solutions of the $p$-Laplacian [PDF]
Czechoslovak Mathematical Journal, 1995 The paper deals with the problem \[ \text{div}(|\nabla u|^{p- 2}\nabla u)+ f(x, u, \nabla u)= 0 \] in \(\mathbb{R}^N\), where \(1< p< N\), \(N\geq 3\). The author employes the classical Schauder fixed point theorem and the subsolution-supersolution technique for the \(p\)-Laplacian.
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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
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Radial Symmetry of Entire Solutions of a Biharmonic Equation with Supercritical Exponent
Advanced Nonlinear Studies, 2019 Necessary and sufficient conditions for a regular positive entire solution u of a biharmonic ...
Guo Zongming, Wei Long
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On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation [PDF]
, 2022 Devendra Kumar, Azza Alghamdi
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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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Entire solutions of quasilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 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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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
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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]
, 2011 Nicholas D. Alikakos
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A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.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
Entire solutions of singular elliptic equations
Journal of Mathematical Analysis and Applications, 1989 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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