Results 11 to 20 of about 1,868,596 (269)
Multi-bump solutions for the magnetic Schrödinger–Poisson system with critical growth
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we are concerned with the following magnetic Schrödinger–Poisson system \begin{align*} \begin{cases} -(\nabla+i A(x))^{2}u+(\lambda V(x)+1)u+\phi u=\alpha f(\left | u\right |^{2})u+\vert u\vert^{4}u,& \text{ in }\mathbb{R}^{3}, \\ -\Delta \
Chao Ji +2 more
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Positive solutions of a Kirchhoff–Schrödinger--Newton system with critical nonlocal term
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper deals with the following Kirchhoff–Schrödinger–Newton system with critical growth \begin{equation*} \begin{cases} \displaystyle-M\left(\int_{\Omega}|\nabla u|^2dx\right)\Delta u=\phi |u|^{2^*-3}u+\lambda|u|^{p-2}u, &\rm \mathrm{in ...
Ying Zhou +3 more
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Advanced Nonlinear Studies, 2021 We study the asymptotic profile, as ℏ→0{\hbar\rightarrow 0}, of positive solutions ...
Cassani Daniele, Wang Youjun
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the following Schrödinger–Poisson system \begin{equation*} \begin{cases} -\Delta u+u+\mu \phi u=\lambda f(x,u)+u^5\quad & \mbox{in }\mathbb{R}^3,\\ -\Delta \phi=\mu u^2\quad & \mbox{in }\mathbb{R}^3, \end{cases} \end{equation ...
Yiwei Ye
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Slip Line Growth as a Critical Phenomenon
Physical Review Letters, 2009 We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up undergoes a second order non-equilibrium phase transition as a function of stress, which can be characterized by ...
Fabio Leoni, Stefano Zapperi
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Activins Are Critical Modulators of Growth and Survival [PDF]
Molecular Endocrinology, 2003 AbstractActivins βA and βB (encoded by Inhba and Inhbb genes, respectively) are related members of the TGF-β superfamily. Previously, we generated mice with an Inhba knock-in allele (InhbaBK) that directs the expression of activin βB protein in the spatiotemporal pattern of activin βA. These mice were small and had shortened life spans, both influenced
Chester W, Brown +3 more
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Concentration results for a magnetic Schrödinger-Poisson system with critical growth
Advances in Nonlinear Analysis, 2020 This paper is concerned with the following nonlinear magnetic Schrödinger-Poisson type ...
Liu Jingjing, Ji Chao
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Growth and the public sector: a critique of the critics [PDF]
European Journal of Political Economy, 1999 Abstract In a recent review article, Agell et al. (ALO) [Agell, J., Lindh, T., Ohlsson, H., 1997. Growth and the public sector: a critical review essay. European Journal of Political Economy 13, 33–52.] claim that theoretical and empirical evidence does not allow any conclusion on whether there is a relationship between the rate of economic growth ...
Fölster, Stefan, Henrekson, Magnus
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Complexity and Criticality in Laplacian Growth Models [PDF]
Europhysics Letters (EPL), 1993 7pages.
Guinea, F., Pla, O., Louis, E.
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Open MathematicsIn this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
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