Results 91 to 100 of about 900,353 (303)
Entire Solution of a Singular Semilinear Elliptic Problem
Journal of Mathematical Analysis and Applications, 1996 Betrachtet wird die singuläre semilineare elliptische Gleichung \[ \Delta u+ p(x)u^{-\gamma} = 0\quad \text{für} \quad x\in \mathbb{R}^n,\;\gamma>0,\;n\geq 3 \] mit einer homogenen Dirichletschen Randbedingung. Gilt \(p(x)>0\) für \(x\in\mathbb{R}^n\) und \(\int^\infty_0 t \varphi (t)dt0\) auf \(\overline \Omega\) [\textit{A. C. Lazer} und \textit{P. J.
Lair, Alan V., Shaker, Aihua W.
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On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial [PDF]
, 2009 summary:We prove a theorem on the growth of nonconstant solutions of a linear differential equation. From this we obtain some uniqueness theorems concerning that a nonconstant entire function and its linear differential polynomial share a small entire ...
Li, Xiao-Min +3 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi +6 more
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A second-order slip model for arbitrary accomodation at the wall
, 2011 This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece.
Gibelli, L +1 more
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Remarks on entire solutions for two fourth order elliptic problems
, 2016 International audienceWe are interested in entire solutions for the semilinear biharmonic equation $\Delta^{2}u=f(u)$ in ${\mathbb R}^N$, where $f(u)=e^{u}$ or $-u^{-p}\ (p>0)$. For the exponential case, we prove that for the polyharmonic problem $\Delta^
Ye, Dong, Lai, Baishun
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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
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Regenerative Therapy, 2019 Preventing the contamination of processed cells is required for achieving reproducible manufacturing. A droplet is one of the potential causes contamination in cell manufacturing.
Yuuki Ogawa +5 more
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Nonexistence of radial entire solutions of elliptic systems
Journal of Differential Equations, 2003 The author considers the quasi-variational ordinary differential system \[ [\nabla G(u,u')]'- \nabla_u G(u,u')+ Q(t, u,u')= f(t,u) \] on \(J= (T,\infty)\), \(T\geq 0\), where \(\nabla= \nabla_u\) denotes the gradient operator with respect to the second variable of the function \(G\).
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Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation
, 2014 We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core
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
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