Results 1 to 10 of about 15,065,596 (394)
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 +5 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
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
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 +3 more sources
Slip Line Growth as a Critical Phenomenon
Physical Review Letters, 2009 We study the growth of slip line in a plastically deforming crystal by numerical simulation of a double-ended pile-up model with a dislocation source at one end, and an absorbing wall at the other end. In presence of defects, the pile-up undergoes a second order non-equilibrium phase transition as a function of stress, which can be characterized by ...
Fabio Leoni, Stefano Zapperi
openaire +4 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
Probabilistic aspects of critical growth-fragmentation equations [PDF]
Advances in Applied Probability, 2015 The self-similar growth-fragmentation equation describes the evolution of a medium in which particles grow and divide as time proceeds, with the growth and splitting of each particle depending only upon its size.
J. Bertoin, A. Watson
semanticscholar +5 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
Ground states for a fractional scalar field problem with critical growth [PDF]
Differential and Integral Equations, 2016 We prove the existence of a ground state solution for the following fractional scalar field equation $(-\Delta)^{s} u= g(u)$ in $\mathbb{R}^{N}$ where $s\in (0,1), N> 2s$,$ (-\Delta)^{s}$ is the fractional Laplacian, and $g\in C^{1, \beta}(\mathbb{R ...
V. Ambrosio
semanticscholar +3 more sources
Critical Point in Self-Organized Tissue Growth
Physical Review Letters, 2018 5 pages, 3 ...
Benjamin M. Friedrich +8 more
openaire +8 more sources