Results 11 to 20 of about 11,870,254 (353)
Critical Growth Phases for Adult Shortness [PDF]
American Journal of Epidemiology, 2000 Previous growth studies have not explored how different growth phases-the fetal, infancy, childhood, and puberty phases-interact with each other in the development of adult shortness. In this paper, the authors attempt to describe the importance of each growth phase for adult shortness and the effect of growth in one phase on other, subsequent phases ...
Zhong‐Cheng Luo, Johan Karlberg
openalex +6 more sources
Nonlocal problems at nearly critical growth [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2015 We study the asymptotic behavior of solutions to the nonlocal nonlinear equation $(- _p)^s u=|u|^{q-2}u$ in a bounded domain $ \subset{\mathbb R}^N$ as $q$ approaches the critical Sobolev exponent $p^*=Np/(N-ps)$. We prove that ground state solutions concentrate at a single point $\bar x\in \overline $ and analyze the asymptotic behavior for ...
S. Mosconi, M. Squassina
semanticscholar +6 more sources
Critical transitions and perturbation growth directions [PDF]
Physical Review E, 2017 Critical transitions occur in a variety of dynamical systems. Here, we employ quantifiers of chaos to identify changes in the dynamical structure of complex systems preceding critical transitions. As suitable indicator variables for critical transitions, we consider changes in growth rates and directions of covariant Lyapunov vectors. Studying critical
Nahal Sharafi +5 more
openaire +5 more sources
Concentrating solutions for a fractional Kirchhoff equation with critical growth [PDF]
Nonlinear Fractional Schrödinger Equations in R^N, 2018 In this paper we consider the following class of fractional Kirchhoff equations with critical growth: ( ε 2 s a + ε 4 s − 3 b ∫ R 3 | ( − Δ ) s 2 u | 2 d x ) ( − Δ ) s u + V ( x ) u = f ( u ) + | u | 2 s ∗ − 2 u in R 3 , u ∈ H s ( R 3 ) , u > 0 in R 3 ...
V. Ambrosio
semanticscholar +1 more source
Electronic Research Archive, 2022 In this article, we study the following bi-nonlocal Kirchhoff-Schr$ \ddot{\mathrm{o}} $dinger-Poisson system with critical growth: $ \begin{equation*} \begin{cases} -\left( \int_{\Omega}|\nabla u|^2dx\right)^r\Delta u+\phi u = u^5+\lambda\left ...
Guaiqi Tian , Hongmin Suo , Yucheng An
doaj +1 more source
Semiclassical states for Choquard type equations with critical growth: critical frequency case [PDF]
Nonlinearity, 2017 In this paper we are interested in the existence of semiclassical states for the Choquard type equation −ε2Δu+V(x)u=∫RNG(u(y))|x−y|μdyg(u)inRN, where 0 < μ < N, N ⩾ 3, ɛ is a positive parameter and G is the primitive of g which is of critical growth due ...
Yanheng Ding, Fashun Gao, Minbo Yang
semanticscholar +1 more source
W1,p versus C1: The nonsmooth case involving critical growth
Bulletin of Mathematical Sciences, 2020 In this paper, we study a class of generalized and not necessarily differentiable functionals of the form J(u) =∫ΩG(x,∇u)dx −∫Ωj1(x,u)dx −∫∂Ωj2(x,u)dσ with functions j1: Ω × ℝ → ℝ, j2: ∂Ω × ℝ → ℝ that are only locally Lipschitz in the second ...
Yunru Bai +3 more
doaj +1 more source
Electronic Research Archive, 2023 In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: $ \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\int_{\Omega}|\nabla_{H} u|^{p}d\xi)\Delta_{H, p}u-\mu\phi |u|^{p-2}u} =
Shujie Bai +2 more
doaj +1 more source
Finance and Growth: A Critical Survey* [PDF]
Economic Record, 2006 We present a survey of the finance‐growth nexus that raises a number of qualifications to the standard interpretation. We investigate doubts regarding empirical consensus and we consider the prevalence of cross‐section econometrics as dominant in shaping the present theoretical consensus.
openaire +4 more sources
Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with critical exponent. More precisely, we consider \begin{equation*} \begin{cases} \Delta^2u - \left(1 +
Sihua Liang, Binlin Zhang
doaj +1 more source