Results 111 to 120 of about 10,711,362 (360)
Entire solutions to reaction diffusion equations
, 2017 In this paper, we first use the super-sub solution method to prove the local exponential asymptotic stability of some entire solutions to reaction diffusion equations, including the bistable and monostable cases. In the bistable case, we not only obtain the similar asymptotic stability result given by Yagisita in 2003, but also simplify his proof.
Wang, Yang, Li, Xiong
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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.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
Entire solutions for a nonlinear differential equation
Electronic Journal of Differential Equations, 2011 In this article, we study the existence of solutions to the differential equation $$ f^n(z)+P(f)= P_1e^{h_1}+ P_2e^{h_2}, $$ where $ngeq 2$ is an positive integer, f is a transcendental entire function, $P(f)$ is a differential polynomial in f of ...
Jianming Qi, Jie Ding, Taiying Zhu
doaj
A necessary and sufficient condition for radial property of positive entire solutions of $Δ^2 u+u^{-q}=0$ in $\mathbf{R}^3$ [PDF]
, 2019 Tiến-Tài Nguyễn
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National-scale 1-m resolution land-cover mapping for the entire China based on a low-cost solution and open-access data [PDF]
, 2023 Zhuohong Li, Wei He, Hongyan Zhang
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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
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Almost entire solutions of the Burgers equation
Electronic Journal of Differential Equations, 2018 We consider Burgers equation on the whole x-t plane. We require the solution to be classical everywhere, except possibly over a closed set S of potential singularities, which is (a) a subset of a countable union of ordered graphs of differentiable
Nicholas D. Alikakos, Dimitrios Gazoulis
doaj
Existence of entire radial solutions to a class of quasilinear elliptic equations and systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, by a monotone iterative method and the Arzèla-Ascoli theorem, we obtain the existence of entire positive radial solutions to the following quasilinear elliptic equations \[\operatorname{div}(\phi_1(|\nabla u|) \nabla u)+a_1(|x|) \phi_1 ...
Song Zhou
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Entire and meromorphic solutions for systems of the differential difference equations [PDF]
, 2022 Hong Yan Xu, Hongli Li, Xin Ding
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