Results 1 to 10 of about 1,780,435 (267)

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

Advances in Nonlinear Analysis, 2022
In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
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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 ...
Luo, ZC, Karlberg, J
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Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group

Advanced Nonlinear Studies, 2022
This article is devoted to the study of the combined effects of logarithmic and critical nonlinearities for the Kirchhoff-Poisson system −M∫Ω∣∇Hu∣2dξΔHu+μϕu=λ∣u∣q−2uln∣u∣2+∣u∣2uinΩ,−ΔHϕ=u2inΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-M\left(\mathop ...
Pucci Patrizia, Ye Yiwei
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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
Sharafi, N., Timme, M., Hallerberg, S.
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Facilitating Posttraumatic Growth After Critical Illness [PDF]

American Journal of Critical Care, 2020
The theory of posttraumatic growth arose from accounts of various trauma survivors experiencing not only distress but also growth and change. An intensive care unit admission is an unplanned, sudden, and traumatic experience, and many survivors have posttraumatic stress that can lead to posttraumatic stress disorder.
Abigail C, Jones, Rachel, Hilton, Blair, Ely, Lovemore, Gororo, Valerie, Danesh, Carla M, Sevin, James C, Jackson, Leanne M, Boehm   +7 more
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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
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Existence of positive solutions for a class of $p$-Laplacian type generalized quasilinear Schrödinger equations with critical growth and potential vanishing at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we study the existence of positive solutions for the following generalized quasilinear Schrödinger equation \begin{equation*} -\operatorname{div}(g^p(u)|\nabla u|^{p-2}\nabla u)+g^{p-1}(u)g'(u)|\nabla u|^p+V(x)|u|^{p-2}u =K(x)f(u)+Q(x)g(u)|
Zhen Li
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Normalized solutions for critical Schrödinger equations involving (2,q)-Laplacian [PDF]

Opuscula Mathematica
In this paper, we consider the following critical Schrödinger equation involving \((2,q)\)-Laplacian: \[\begin{cases} -\Delta u-\Delta_{q} u=\lambda u+\mu |u|^{\gamma-2}u+|u|^{2^*-2}u \quad\text{in }\mathbb{R}^N, \\ \int_{\mathbb{R}^N} |u|^{2}dx=a^2,\end{
Lulu Wei, Yueqiang Song
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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, Leszek Gasiński, Patrick Winkert, Shengda Zeng   +3 more
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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, Burlock, Laura J, Gooding, Robert J   +2 more
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