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Xiaoqing Dong,Jingping Rao,Donald J. Huber,Xiaoxiao Chang,Fucun Xin 한국원예학회 2012 Horticulture, Environment, and Biotechnology Vol.53 No.4
Changes in surface wax composition of ‘Red Fuji’ apple (Malus domestica Borkh. ‘Red Fuji’) during development and during storage at 0 ± 1℃ after 1-methylcyclopropene (1-MCP) treatments were studied by the means of gas chromatography -mass spectrometry. Total wax increased during fruit development. During the storage at 0 ± 1℃, total waxes declined, and the decline was significantly delayed in 1-MCP–treated fruit. Total waxes were chromatographically separated into nonpolar and polar components. Nonacosane was the most abundant nonpolar wax, comprising 95% of total hydrocarbons. Polar wax components were comprised of nonacosan-10-ol (29%) and nonacosan-10-one (16%), along with a series of fatty acids and derivatives. Distinct patterns of wax changes were observed. Nonacosane, heptacosane and nonacosene increased during the development and decreased over seven months of fruit storage at 0 ± 1℃. Declines were delayed or slightly suppressed in 1-MCP–treated fruit. By contrast, nonacosan-10-ol, nonacosan-10-one, and 9, 12-octadecadienoic acid showed variable accumulation trends during the development but significant increases during storage that were strongly suppressed in 1-MCP–treated fruit. The association of wax changes with ethylene production and the responses to 1-MCP indicate that ethylene strongly influences wax composition in ‘Red Fuji’ apple fruit.
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EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS
Chang, Yanxun,Zhang, Xiaoxiao Korean Mathematical Society 2021 대한수학회지 Vol.58 No.3
Let G = (V, E) be a connected locally finite and weighted graph, ∆<sub>p</sub> be the p-th graph Laplacian. Consider the p-th nonlinear equation -∆<sub>p</sub>u + h|u|<sup>p-2</sup>u = f(x, u) on G, where p > 2, h, f satisfy certain assumptions. Grigor'yan-Lin-Yang [24] proved the existence of the solution to the above nonlinear equation in a bounded domain Ω ⊂ V. In this paper, we show that there exists a strictly positive solution on the infinite set V to the above nonlinear equation by modifying some conditions in [24]. To the m-order differential operator 𝓛<sub>m,p</sub>, we also prove the existence of the nontrivial solution to the analogous nonlinear equation.
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