Results 21 to 30 of about 16,071,502 (380)
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
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Asymptotic analysis for fourth order Paneitz equations with critical growth [PDF]
, 2011 We investigate fourth order Paneitz equations of critical growth in the case of $n$-dimensional closed conformally flat manifolds, $n \ge 5$. Such equations arise from conformal geometry and are modelized on the Einstein case of the geometric equation ...
Hebey, Emmanuel, Robert, Frédéric
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Fractional NLS equations with magnetic field, critical frequency and critical growth [PDF]
Manuscripta mathematica, 2017 The paper is devoted to the study of singularly perturbed fractional Schrödinger equations involving critical frequency and critical growth in the presence of a magnetic field.
Zhang Binlin, M. Squassina, Zhang Xia
semanticscholar +2 more sources
Shape of an elastica under growth restricted by friction [PDF]
, 2018 We investigate the quasi-static growth of elastic fibers in the presence of dry or viscous friction. An unusual form of destabilization beyond a critical length is described. In order to characterize this phenomenon, a new definition of stability against
Horváth, Marcell G. +2 more
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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
Critical telomerase activity for uncontrolled cell growth [PDF]
Physical Biology, 2016 The lengths of the telomere regions of chromosomes in a population of cells are modelled using a chemical master equation formalism, from which the evolution of the average number of cells of each telomere length is extracted. In particular, the role of the telomere-elongating enzyme telomerase on these dynamics is investigated.
Wesch, Neil L +2 more
openaire +3 more sources
Understanding Homogeneous Nucleation in Solidification of Aluminum by Molecular Dynamics Simulations [PDF]
, 2017 Homogeneous nucleation from aluminum (Al) melt was investigated by million-atom molecular dynamics (MD) simulations utilizing the second nearest neighbor modified embedded atom method (MEAM) potentials.
Baskes, Michael I. +2 more
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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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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
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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
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