Drought-Tolerant Bacteria and Arbuscular Mycorrhizal Fungi Mitigate the Detrimental Effects of Drought Stress Induced by Withholding Irrigation at Critical Growth Stages of Soybean (Glycine max, L.) [PDF]
MicroorganismsConsidering current global climate change, drought stress is regarded as a major problem negatively impacting the growth of soybeans, particularly at the critical stages R3 (early pod) and R5 (seed development).
Aya Ahmed Nader +3 more
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Automated Method to Determine Two Critical Growth Stages of Wheat: Heading and Flowering. [PDF]
Front Plant Sci, 2017 Recording growth stage information is an important aspect of precision agriculture, crop breeding and phenotyping. In practice, crop growth stage is still primarily monitored by-eye, which is not only laborious and time-consuming, but also subjective and
Sadeghi-Tehran P +3 more
europepmc +2 more sources
Advances in Nonlinear Analysis, 2018 In this paper, we concern ourselves with the following Kirchhoff-type equations:
Xu Li-Ping, Chen Haibo
doaj +2 more sources
Normalized Ground State Solutions of Nonlinear Schrödinger Equations Involving Exponential Critical Growth [PDF]
Journal of Geometric Analysis, 2022 We are concerned with the following nonlinear Schrödinger equation: $$\begin{aligned} \begin{aligned} {\left\{ \begin{array}{ll} -\Delta u+\lambda u=f(u) \ \ \textrm{in}\ \mathbb {R}^{2},\\ u\in H^{1}(\mathbb {R}^{2}),~~~ \int _{\mathbb {R}^2}u^2dx=\rho ,
Xiaojun Chang, Man Liu, Duokui Yan
semanticscholar +1 more source
Parametric superlinear double phase problems with singular term and critical growth on the boundary [PDF]
Mathematical methods in the applied sciences, 2021 In this paper, we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth.
Ángel Crespo-Blanco +2 more
semanticscholar +1 more source
Multiple solutions of Kirchhoff type equations involving Neumann conditions and critical growth
AIMS Mathematics, 2021 In this paper, we consider a Neumann problem of Kirchhoff type equation \begin{equation*} \begin{cases} \displaystyle-\left(a+b\int_{\Omega}|\nabla u|^2dx\right)\Delta u+u= Q(x)|u|^4u+\lambda P(x)|u|^{q-2}u, &\rm \mathrm{in}\ \ \Omega ...
Jun Lei, Hongmin Suo
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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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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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Fractional NLS equations with magnetic field, critical frequency and critical growth [PDF]
Manuscripta mathematica, 2016 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.
Binlin Zhang, M. Squassina, Zhang Xia
semanticscholar +2 more sources
AIMS Mathematics, 2022 In this article, we deal with the following fractional $ p $-Kirchhoff type equation $ \begin{equation*} \begin{cases} M\left( \int_{\mathbb{R}^{N}}\int_{\mathbb{R}^{N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy\right)(-\Delta)_p^su=\frac{|u|^{p_\alpha ...
Zusheng Chen , Hongmin Suo, Jun Lei
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