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
europepmc +2 more sources
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
Nonlocal problems at critical growth in contractible domains [PDF]
arXiv, 2015 We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.
S. Mosconi, N. Shioji, M. Squassina
arxiv +3 more sources
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, 2016 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 ...
MOSCONI, SUNRA JOHANNES NIKOLAJ +1 more
openaire +6 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: $$\begin{aligned} \begin{aligned} {\left\{ \begin{array}{ll} -\Delta u+\lambda u=f(u) \ \ \textrm{in}\ \mathbb {R}^{2},\\ u\in H^{1}(\mathbb {R}^{2}),~~~ \int _{\mathbb {R}^2}u^2dx=\rho ,
Xiaojun Chang, Man Liu, Duokui Yan
semanticscholar +1 more source
Parametric superlinear double phase problems with singular term and critical growth on the boundary [PDF]
Mathematical methods in the applied sciences, 2021 In this paper, we study quasilinear elliptic equations driven by the double phase operator along with a reaction that has a singular and a parametric superlinear term and with a nonlinear Neumann boundary condition of critical growth.
Ángel Crespo-Blanco +2 more
semanticscholar +1 more source
Multiple solutions of Kirchhoff type equations involving Neumann conditions and critical growth
AIMS Mathematics, 2021 In this paper, we consider a Neumann problem of Kirchhoff type equation \begin{equation*} \begin{cases} \displaystyle-\left(a+b\int_{\Omega}|\nabla u|^2dx\right)\Delta u+u= Q(x)|u|^4u+\lambda P(x)|u|^{q-2}u, &\rm \mathrm{in}\ \ \Omega ...
Jun Lei, Hongmin Suo
doaj +1 more source
A planar Schrödinger–Newton system with Trudinger–Moser critical growth
Calculus of Variations and Partial Differential Equations, 2023 In this paper, we focus on the existence of positive solutions to the following planar Schrödinger–Newton system with general critical exponential growth $$\begin{aligned} \left\{ \begin{array}{ll} -\Delta {u}+u+\phi u =f(u)&{} \text{ in }\,\,\mathbb {R}^
Zhisu Liu, V. Rǎdulescu, Jianjun Zhang
semanticscholar +1 more source