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THE GLOBAL EXISTENCE AND BEHAVIOR OF RADIAL SOLUTIONS OF A NONLINEAR p-LAPLACIAN TYPE EQUATION WITH SINGULAR COEFFICIENTS

  • Hikmat El Baghouri;Arij Bouzelmate
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.2
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    • pp.333-360
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    • 2024
  • This paper is concerned with the radial solutions of a nonlinear elliptic equation ∆pu + |x|𝑙1 |u|q1-1 u + |x|𝑙2 |u|q2-1 u = 0, x ∈ ℝN, where p > 2, N ≥ 1, q2 > q1 ≥ 1, -p < 𝑙2 < 𝑙1 ≤ 0 and -N < 𝑙2 < 𝑙1 ≤ 0. We prove the existence of global solutions, we give their classification and we present the explicit behavior of positive solutions near the origin and infinity.

Saccharomyces cerevisiae partially to completely ameliorates the adverse effects of aflatoxin on the in vitro rumen fermentation of buffalo diet

  • Singh, Ram;Koo, Jin Su;Park, Sungkwon;Balasubramanian, Balamuralikrishnan
    • Korean Journal of Agricultural Science
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    • v.48 no.1
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    • pp.73-81
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    • 2021
  • The current study investigated how Saccharomyces cerevisiae ameliorates the adverse effects of aflatoxin on in vitro rumen fermentation. In this study, five groups (T1: Control [basal feed]; T2: T1 + 300 ppb aflatoxin B1 [AFB1] and T3, T4, and T5: T2 with 0.05, 0.1, and 0.2% of S. cerevisiae, respectively) were prepared and incubated in vitro. The results revealed that truly degradable dry matter (TDDM), gas production (GP), microbial biomass production (MBP), truly degradable organic matter (TDOM), partitioning factor (PF), total volatile fatty acids (TVFA), acetate (A), propionate (P) and butyrate (B) values in the control group (T1) were higher (p < 0.05) than those of the AFB1 fed group (T2). The A : P ratio in the control group (T1) was reduced (p < 0.05) when compared to that of the T2 group. The TDDM, TDOM, GP, TVFA, A, P, and B values of T3, T4, and T5 improved with the increasing levels of S. cerevisiae; however, the values of group T5 were lower (p < 0.05) than that of the control. The values of MBP, A : P ratio and PF in group T5 were statistically similar to that of the control. It was concluded that the inclusion of S. cerevisiae (0.05 to 0.20%) to the AFB1 (300 ppb) contaminated feed partially to completely ameliorated the adverse effects of AFB1 on the in vitro rumen fermentation parameters.

Monte Carlo Simulations and DFT Studies of the Structural Properties of Silicon Oxide Clusters Reacting with a Water Molecule

  • Jisu Lee;Gyun-Tack Bae
    • Journal of the Korean Chemical Society
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    • v.67 no.5
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    • pp.333-338
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    • 2023
  • In this study, the H2O reaction with SiO clusters was investigated using ab initio Monte Carlo simulations and density functional theory calculations. Three chemistry models, PBE1/DGDZVP (Model 1), PBE1/DGDZVP (Si atom), and aug-cc-pVDZ (O and H atoms), (Model 2) and PBE1/aug-cc-pVDZ (Model 3), were used. The average bond lengths, as well as the relative and reaction energies, were calculated using Models 1, 2, and 3. The average bond lengths of Si-O and O-H are 1.67-1.75 Å and 0.96-0.97 Å, respectively, using Models 1, 2, and 3. The most stable structures were formed by the H transfer from an H2O molecule except for Si3O3-H2O-1 cluster. The Si3O3 cluster with H2O exhibited the lowest reaction energy. In addition, the Bader charge distributions of the SinOn and (SiO)n-H2O clusters with n = 1-7 were calculated using Model 1. We determined that the reaction sites between H2O and the SiO clusters possessed the highest fraction of electrons.

Influence of various concentrations of aflatoxin B1 on in vitro rumen fermentation of a buffalo diet

  • Singh, Ram;Park, Sungkwon;Koo, Jin Su;Balasubramanian, Balamuralikrishnan
    • Korean Journal of Agricultural Science
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    • v.47 no.1
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    • pp.131-138
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    • 2020
  • The aim of this study was to evaluate the effect of aflatoxin B1 (AFB1) on in vitro rumen fermentation at various dose levels of 0 (T1), 100 (T2), 200 (T3), and 300 (T4) ppb in a wheat straw-based buffalo diet. The results show that the truly degradable dry matter, truly degradable organic matter, gas production, microbial biomass production and partitioning factor values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The total volatile fatty acids, acetate, propionate, and butyrate values in the control group (T1) were higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor value in the control group (T1) was higher (p < 0.05) than those of the T2, T3, and T4 groups. The partitioning factor values of the T2 and T3 groups were higher (p < 0.05) than that of the T4 group. There was no significant variation in the partitioning factor value between the T2 and T3 group. The acetate : propionate (A : P) ratio in the control group (T1) was lower (p < 0.05) than those of the T2, T3, and T4 groups. The A : P ratio in the T2 group was lower (p < 0.05) than those of the T3 and T4 groups. It was concluded that different levels of AFB1 contamination in feed significantly affect the in vitro rumen fermentation characteristics. Thus, these findings could help to determine the influences of AFB1 in a wheat straw-based buffalo diet. Additionally, it is necessary to manage AFB1 contamination in ruminants.

Nanocomposite Electrode Materials Prepared from Pinus roxburghii and Hematite for Application in Supercapacitors

  • SHRESTHA, Dibyashree
    • Journal of the Korean Wood Science and Technology
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    • v.50 no.4
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    • pp.219-236
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    • 2022
  • Wood-based nanocomposite electrode materials were synthesized for application in supercapacitors by mixing nanostructured hematite (Fe2O3) with highly porous activated carbon (AC) produced from the wood-waste of Pinus roxburghii. The AC was characterized using various instrumental techniques and the results showed admirable electrochemical properties, such as high surface area and reasonable porosity. Firstly, AC was tested as an electrode material for supercapacitors and it showed a specific capacitance of 59.02 Fg-1 at a current density of 1 Ag-1, cycle life of 84.2% after 1,000 cycles (at a current density of 3 Ag-1), and energy density of 5.1 Wh/kg at a power density of 135 Wkg-1. However, when the AC was composited with different ratios of Fe2O3 (1:1, 2:1, and 1:2), there was an overall improvement in its electrochemical performance. Among the 3 ratios, 2:1 (AC:Fe2O3) had the best specific capacitance of 102.42 Fg-1 at 1 Ag-1, cycle life of 94.4% capacitance after 1,000 cycles (at a current density of 3 Ag-1), and energy density of 8.34 Wh/kg at a power density of 395.15 Wkg-1 in 6 M KOH electrolyte in a 3-electrode experimental setup with a high working voltage of 1.55 V. Furthermore, when Fe2O3 was doubled, 1:2 (AC:Fe2O3), the electrochemical capacitive performance of the electrode twisted and deteriorated due to either the accumulation of Fe2O3 particles within the composite or higher bulk resistance value of pure Fe2O3.

The Effect of Calcination/reduction Condition Over Ru/TiO2 on the NH3-SCO Reaction Activity (소성/환원 조건이 Ru/TiO2의 NH3-SCO 반응활성에 미치는 영향)

  • Shin, Jung Hun;Hong, Sung Chang
    • Applied Chemistry for Engineering
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    • v.31 no.1
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    • pp.108-114
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    • 2020
  • In this study, NH3-selective catalytic oxidation (SCO) efficiencies according to calcination/reduction conditions were compared when preparing various Ru[1]/TiO2 catalysts. The Ru[1]/TiO2 red catalyst had better NH3 conversion and NH3 to N2 conversion than those of Ru[1]/TiO2 cal. Physico-chemical properties of Ru[1]/TiO2 catalysts were confirmed by Brunauer Emmett Teller (BET), X-ray diffraction (XRD), transmission electron microscope (TEM), X-ray photoelectron spectroscopy (XPS) and temperature programmed reduction (H2-TPR) analyses, and the properties were shown to affect the dispersion and surface adsorption oxygen species (Oβ) ratio of the active metal.

The effect of Al2O3 on the isokom temperatures in soda-lime glass (소다석회유리에서 Al2O3가 isokom 온도에 미치는 영향)

  • Kang, Seung Min;Kim, Chang-sam
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.32 no.3
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    • pp.103-106
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    • 2022
  • The effect of Al2O3 on isokom temperatures in soda-lime glass is estimated by comparing calculated isokom temperatures using viscosity model proposed by Lakatos. Substitution of SiO2 with Al2O3 by 0.5 mol% raises the isokom temperatures by 3.1, 3.3, 3.6 and 7.2℃ at the viscosity of log η = 12.3, 10, 6.6 and 1 (Pa·s), respectively. Meanwhile, replacing 0.5 mol% of CaO with Al2O3 raises the isokom temperatures by 1.6, 2.3, 4.1 and 17.7℃ at the viscosity of log η = 12.3, 10, 6.6 and 1 (Pa·s), respectively.

Dielectric and Piezoelectric Properties of Pb(Zr1/2Ti1/2)O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3 System (Pb(Zr1/2Ti1/2O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3계의 유전 및 압전 특성)

  • Lee, Hyeung-Gyu;Kang, Hyung-Won;Choi, Ji-Hyun
    • Journal of the Korean Ceramic Society
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    • v.42 no.10 s.281
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    • pp.698-702
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    • 2005
  • Dielectric and Piezoelectric properties of complex perovskite 0.92Pb($Zr_{1/2}Ti_{1/2})O_{3}-(0.08-x)Pb(Cu_{1/3}Nb_{2/3})O_{3}-xPb(Mn_{1/3}Nb_{2/3})O_{3}(0{\leq}x{\leq}0.080$) (PZT-PCN-PMN) system were investigated as a function of PMN content. With the increase of PMN content of the sintered specimens, tetragonal phase was coexisted with rhombohedral phase, the dielectric constant was decreased, mechanical quality factor ($Q_{m}$) was inceased, and optimal sintering temperature was increased up to 1050$^{\circ}C$. For the composition of x = 0.064 sintered at 1050$^{\circ}C$ for 2 h, 1939 of maximum mechanical quality factor ($Q_{m}$), 57$\%$ of electromechanical coupling factor ($k_{p}$), and 1100$^{\circ}C$ of dielectric constant, 0.37$\% $ of dielectric loss (tan $\delta$) were obtained.

Effects of GA3 Dipping Treatment on the Spike Growth and Fruit Quality at Harvest of 'Campbell Early' Grapevine ('캠벨얼리' 포도의 화수(花穗) 생장과 과실품질에 미치는 GA3의 영향)

  • Lee, Y.C.;Moon, B.W.;Nam, K.W.;Moon, Y.J.
    • Journal of Practical Agriculture & Fisheries Research
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    • v.15 no.1
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    • pp.85-93
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    • 2013
  • This study has been conducted to investigate the effect of GA3 solution dipping treatment after 1 days full bloom on spike growth and fruit quality at harvest of 'Campbell Early' grapevine. The fruit cluster growth(weight, length, width) and fruit stalk(diameter, length) at harvest were increased significantly by GA3 10 mg·L-1 solution dipping treatment compared to control and another concentration. The berry growth (berry No, weight, length, diameter) at harvest showed no difference by treatment GA3 concentration different. Spike weight was increased by GA3 5, 10, 20, mg·L-1 treatment compared to control, but no difference GA3 40 mg·L-1 treatment. The degree of compact berry, bloom, skin color and SSC at harvest by GA3 solution dipping treatment were not significantly different from those of control. but increased seedlessness induction by GA3 10 mg·L-1 treatment. The occurrence percent of berry cracking by GA3 5, 10, 20, 40 mg·L-1 treatment significantly decreased. The bitter rot of berry harvest showed no difference by treatment GA3 concentration different. Total spike length was increased by GA3 5, 10 mg·L-1 treatment compared to control and GA3 20, 40 mg·L-1 treatment. The spike length of 1st from 15th to position increased by GA3 10 mg·L-1 treatment.

Electrochemical Performance of LiMn2O4 Cathodes in Zn-Containing Aqueous Electrolytes

  • Kamenskii, Mikhail A.;Eliseeva, Svetlana N.;Volkov, Alexey I.;Kondratiev, Veniamin V.
    • Journal of Electrochemical Science and Technology
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    • v.13 no.2
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    • pp.177-185
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    • 2022
  • Electrochemical properties of LiMn2O4 cathode were investigated in three types of Zn-containing electrolytes: lithium-zinc sulfate electrolyte (1M ZnSO4 / 2M Li2SO4), zinc sulfate electrolyte (2MZnSO4) and lithium-zinc-manganese sulfate electrolyte (1MZnSO4 / 2MLi2SO4 / 0.1MMnSO4). Cyclic voltammetry measurements demonstrated that LiMn2O4 is electrochemically inactive in pure ZnSO4 electrolyte after initial oxidation. The effect of manganese (II) additive in the zinc-manganese sulfate electrolyte on the electrochemical performance was analyzed. The initial capacity of LiMn2O4 is higher in presence of MnSO4 (140 mAh g-1 in 1 M ZnSO4 / 2 M Li2SO4 / 0.1 M MnSO4 and 120 mAh g-1 in 1 M ZnSO4 / 2MLi2SO4). The capacity increase can be explained by the electrodeposition of MnOx layer on the electrode surface. Structural characterization of postmortem electrodes with use of XRD and EDX analysis confirmed that partially formed in pure ZnSO4 electrolyte Zn-containing phase leads to fast capacity fading which is probably related to blocked electroactive sites.