Results 31 to 40 of about 11,751,266 (377)
Agglomeration and Growth in the NEG: A Critical Assessment [PDF]
, 2007 This chapter is divided into two parts. In the first part we review the main results of a typical "New Economic Geography and Growth" (NEGG) model (Baldwin and Martin, 2003) and assess the contribution of this literature to the issue of long-run income gaps between countries.
Cerina, F., Pigliaru, F.
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Complexity and Criticality in Laplacian Growth Models [PDF]
Europhysics Letters (EPL), 1993 7pages.
Enrique Louis, O. Pla, Francisco Guinea
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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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Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth
Advances in Nonlinear Analysis, 2018 We are concerned with the existence of ground states and qualitative properties of solutions for a class of nonlocal Schrödinger equations. We consider the case in which the nonlinearity exhibits critical growth in the sense of the Hardy–Littlewood ...
D. Cassani, Jianjun Zhang
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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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A class of semipositone p-Laplacian problems with a critical growth reaction term [PDF]
Advances in Nonlinear Analysis, 2016 We prove the existence of ground state positive solutions for a class of semipositone p-Laplacian problems with a critical growth reaction term. The proofs are established by obtaining crucial uniform C1,α a priori estimates and by concentration ...
K. Perera, R. Shivaji, Inbo Sim
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Ground states for a fractional scalar field problem with critical growth [PDF]
Differential and Integral Equations, 2016 We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
V. Ambrosio
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Electronic Journal of Differential Equations, 2021 In this article, we study a class of critical fractional Schrodinger-Poisson system with two perturbation terms. By using variational methods and Lusternik-Schnirelman category theory, the existence of ground state and two nontrivial solutions are ...
Lintao Liu, Kaimin Teng
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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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Ground state solutions for a fractional Schrödinger equation with critical growth [PDF]
Asymptotic Analysis, 2016 In this paper we investigate the existence of nontrivial ground state solutions for the following fractional scalar field equation \begin{align*} (-\Delta)^{s} u+V(x)u= f(u) \mbox{ in } \mathbb{R}^{N}, \end{align*} where $s\in (0,1)$, $N> 2s$, $(-\Delta)^
V. Ambrosio, G. Figueiredo
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