Results 61 to 70 of about 3,840,200 (275)
Bounded and large radially symmetric solutions for some (p,q)-Laplacian stationary systems
Electronic Journal of Differential Equations, 2012 This article concerns radially symmetric positive solutions of second-order quasilinear elliptic systems. In terms of the growth of the variable potential functions, we establish conditions such that the solutions are either bounded or blow up at ...
Adel Ben Dkhil, Noureddine Zeddini
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Positive solutions of the diophantine equation
International Journal of Mathematics and Mathematical Sciences, 1982 Integral solutions of x3+λy+1−xyz=0 are observed for all integral λ. For λ=2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ=1.
W. R. Utz
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Positive Solutions of Superlinear Elliptic Equations
Journal of Functional Analysis, 1999 Let \(\Omega\subset \mathbb{R}^N\) be a bounded convex domain with smooth boundary \(\Omega\) and \(f: \mathbb{R}^+\to \mathbb{R}\) be a locally Lipschitz continuous function with \(f(0)\geq 0\). The elliptic problems \[ -\Delta u= f(u),\quad u>0,\quad x\in\Omega,\quad u= 0,\quad x\in\partial\Omega;\tag{1} \] and \[ -\Delta u=\lambda f(u),\quad u>0 ...
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
Bounded positive solutions of Schrödinger equations
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Positive solutions to sublinear elliptic problems
Colloquium Mathematicum, 2019 Let $L$ be a second order elliptic operator $L$ with smooth coefficients defined on a domain $ $ in $\mathbb{R}^d $, $d\geq3$, such that $L1\leq 0$. We study existence and properties of continuous solutions to the following problem \begin{equation}\label{00} Lu= (\cdot,u),% & \hbox{in $ $; in the sens of distribution;} \\ \end{equation} in $ ,$
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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
Existence of positive solutions for systems of bending elastic beam equations
Electronic Journal of Differential Equations, 2012 This article discusses the existence of positive solutions for systems of bending elastic beam equations. In mechanics, the problem describes the deformations of two elastic beams in equilibrium state, whose two ends are simply supported.
Ping Kang, Zhongli Wei
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