• Journal of the Korean Mathematical Society
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• v.57 no.6
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• pp.1347-1372
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• 2020

We study bifurcation for the following fractional Schrödinger equation $$\{\left.\begin{eqnarray}(-{\Delta})^su+V(x)u&=&{\lambda}f(u)&&{\text{in}}\;{\Omega}\\u&>&0&&{\text{in}}\;{\Omega}\\u&=&0&&{\hspace{32}}{\text{in}}\;{\mathbb{R}}^n{\backslash}{\Omega}\end{eqnarray}\right$$ where 0 < s < 1, n > 2s, Ω is a bounded smooth domain of ℝⁿ, (-∆)^s is the fractional Laplacian of order s, V is the potential energy satisfying suitable assumptions and λ is a positive real parameter. The nonlinear term f is a positive nondecreasing convex function, asymptotically linear that is $\lim_{t{\rightarrow}+{\infty}}\;{\frac{f(t)}{t}}=a{\in}(0,+{\infty})$. We discuss the existence, uniqueness and stability of a positive solution and we also prove the existence of critical value and the uniqueness of extremal solutions. We take into account the types of Bifurcation problem for a class of quasilinear fractional Schrödinger equations, we also establish the asymptotic behavior of the solution around the bifurcation point.

• Rapid Communication in Photoscience
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• v.2 no.1
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• pp.34-37
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• 2013

Two novel antenna complexes of $Eu^{III}$ with 1-naphthoic acid (NA) as primary ligand and two aromatic N-donor ligands namely N-hexyl-N-(pyridin-2-yl) pyridin-2-amine (1) and 4-((dipyridin-2-ylamino)methyl)benzoic acid (2) have been synthesized and characterized by various spectroscopic techniques. The room-temperature (298 K) photoluminescence spectrum of $Eu^{III}$ complexes composed of typical line like emissions, assigned to transitions between the first excited state $^5D_0$ to the $^7F_J$ (J = 0-4), resulting in red emission along with the residual emission from the 1-naphthoic acid moiety in the blue region. The determined CIE color coordinate value for the complex 2 is (x = 0.36, y = 0.34), which is in white region.

• Communications of the Korean Mathematical Society
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• v.38 no.1
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• pp.137-151
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• 2023

In this paper we prove the existence of nontrivial weak solutions to the boundary value problem -G₁u = u³ + f(x, y, u) in Ω, u ≥ 0 in Ω, u = 0 on ∂Ω, where Ω is a bounded domain with smooth boundary in ℝ³, G₁ is a Grushin type operator, and f(x, y, u) is a lower order perturbation of u³ with f(x, y, 0) = 0. The nonlinearity involved is of critical exponent, which differs from the existing results in [11, 12].

• International Journal of Industrial Entomology and Biomaterials
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• v.11 no.1
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• pp.49-55
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• 2005

Two BC1 group, c108 $\times$ (p50 $\times$ c108) and p50 $\times$ (p50 $\times$ c108), one group of F$_{2}$ progeny, (p50 $\times$ c108) F$_{2}$ ,and 3 SSR markers, F10539, FlO626 and FlO618 were used to test the hereditary properties of SSR markers in silkworm. FI0539, FlO626 were proved to be linkage, and FlO618 was proved to be independent to those two markers. According to Mendel's law, the recombinant value between F10539, FlO626 was calculated in all of these groups, and they were 8.55$\%$ (c108BC1), 8.02$\%$ (p50BC1) and 7.81 $\%$ (F$_{2}$) respectively. There was dominant difference among the crossing-over value using paired-samples tests by SPSS 10.0 software. This research proved that SSR markers were co-dominant in B. mori too, and F 2 progeny could be used to construct SSR linkage map although B. mori lacked of crossing over in females.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.13 no.12
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• pp.1011-1016
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• 2000

The (1-x)MgTi $O_3$-xSrTi $O_3$(x=0.02~0.08) ceramics were fabricated by the conventional mixed oxide method. The sintering temperature and time were 125$0^{\circ}C$~1375$^{\circ}C$ and 2hours. The structure and microwave dielectric properties were investigated with sintering temperature and composition ratio. From the X-ray diffraction patterns, the cubic SrTi $O_3$and hexagonal MgTi $O_3$structures were coexisted in the (1-x)MgTi $O_3$-xSrTi $O_3$(x=0.02~0.08) ceramics. The dielectric constant($\varepsilon$$_{r}$) was increased and the temperature coefficient of resonant frequency($\tau$$_{f}$)was decreased with addition of SrTi $O_3$. The temperature coefficient of resonant frequency($\tau$$_{f}$) was gradually varied from negative value to positive value with increasing SrTi $O_3$. In the case of 0.96MgTi $O_3$-0.04SrTi $O_3$ceramics sintered at 130$0^{\circ}C$, the dielectric constant, quality factor and temperature coefficient of resonant frequency were 20.5, 5918(at 7.33GHz) and +10ppm/$^{\circ}C$, respectively.y.y.y.

• Korean Journal of Radiology
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• v.22 no.6
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• pp.959-969
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• 2021

Objective: This study aimed to evaluate the role of preoperative two-dimensional (2D) shear wave elastography (SWE) in assessing the stages of liver fibrosis in patients with suspected biliary atresia (BA) and compared its diagnostic performance with those of serum fibrosis biomarkers. Materials and Methods: This study was approved by the ethical committee, and written informed parental consent was obtained. Two hundred and sixteen patients were prospectively enrolled between January 2012 and October 2018. The 2D SWE measurements of 69 patients have been previously reported. 2D SWE measurements, serum fibrosis biomarkers, including fibrotic markers and biochemical test results, and liver histology parameters were obtained. 2D SWE values, serum biomarkers including, aspartate aminotransferase to platelet ratio index (APRi), and other serum fibrotic markers were correlated with the stages of liver fibrosis by METAVIR. Receiver operating characteristic (ROC) curves and area under the ROC (AUROC) curve analyses were used. Results: The correlation coefficient of 2D SWE value in correlation with the stages of liver fibrosis was 0.789 (p < 0.001). The cut-off values of 2D SWE were calculated as 9.1 kPa for F1, 11.6 kPa for F2, 13.0 kPa for F3, and 15.7 kPa for F4. The AUROCs of 2D SWE in the determination of the stages of liver fibrosis ranged from 0.869 to 0.941. The sensitivity and negative predictive value of 2D SWE in the diagnosis of ≥ F3 was 93.4% and 96.0%, respectively. The diagnostic performance of 2D SWE was superior to that of APRi and other serum fibrotic markers in predicting severe fibrosis and cirrhosis (all p < 0.005) and other serum biomarkers. Multivariate analysis showed that the 2D SWE value was the only statistically significant parameter for predicting liver fibrosis. Conclusion: 2D SWE is a more effective non-invasive tool for predicting the stage of liver fibrosis in patients with suspected BA, compared with serum fibrosis biomarkers.

• Journal of Nutrition and Health
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• v.35 no.2
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• pp.229-236
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• 2002

Cataracts are the leading cause of blindness worldwide and are characterized by increased opacity of the lens that significantly diminishes visual acuity. It has been suggested that increased risk of lens opacities are associated with age, exposure to sunlight, diabetes, smoking, and poor nutrition. Antioxidant nutrients have born demonstrated to protect the lens membrane and protein against damage due to oxidative stress. The purpose of this study was to investigate the antioxidant system in the blood of cataract patients. The status of the blood antioxidant system was evaluated based on the levels of antioxidant vitamins and minerals as well as glutathione peroxidase (GSH-Px) and malondialdehyde (M7A) activity in 34 patients with cataracts (17 male and 17 female) and 45 control subjects (20 male and 25 female). After adjusting for age, the results showed significantly lower levels of antioxidant vitamins such as lycopene (M : p < 0.05, F: p < 0.01), zeaxanthin (F: p < 0.01), ${\gamma}$-tocopherol (F: p < 0.01) and ascorbic arid (M: p < 0.05) in the cataract patients than in the control subjects. In contrast, the concentration of cryptoxanthin (F : p < 0.07) showed a significantly higher value in the cataract patients. The serum level of the antioxidant mineral Zn (M : p < 0.01) was found to be significantly lower in the cataract patients while the ratio of cu/zn appeared significantly higher (M : p < 0.05). Significantly higher (M : p < 0.01, F: p < 0.05) concentrations of MDA in serum was found in the cataract patients as compared to the control subjects. GSH-Px activity was significantly lower (F: p < 0.05) in 71e cataract patients. In conclusion, the antioxidant system may play an important roll in cataract creation. Further studies are needed to clarify the mechanisms underlying these findings and to establish preventive measures with an emphasis on antioxidant nutrition for cataract patients.

• Carbon letters
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• v.4 no.4
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• pp.185-191
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• 2003

Two types of carbon fiber based high modulus- and isotropic-pitch were exposed to isothermal oxidation in air and $CO_2$ gas and the weight change was measured by TGA apparatus. The kinetic equation was introduced $f=1-{\exp}(-at^b)$ and the constant b was obtained in the range of 1.02~1.68 for the isotropic fiber and obtained 0.91~1.93 for the high modulus fiber respectively. In considering the effect of the atmosphere for isothermal oxidation, the value of the constant b obtained in the carbon dioxide was higher than that obtained in the air. Therefore, it was found that the pitch based carbon fiber shows sigmoidal characteristic when it is oxidized in the carbon dioxide. In addition, it was also found that $k_f = 0.5$, which was reaction constant at f = 0.5, was a very useful parameter for evaluation of the oxidation reactivity of pitch based carbon fibers. According to the consideration, it is suggested that the conversion-time curves of the pitch based carbon fibers are correlated by normalized equation $f=1-{\exp}(-A{\tau}^B)$, where ${\tau}=t/t_f= 0.5$.

• Journal of the Korean Ceramic Society
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• v.23 no.4
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• pp.1-10
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• 1986

The crystallization behaviour and the machinability of mica glass-ceramics with the content of F1 were studied. The material was made from the $K_2O-MgO-Al_2O_3-B_2O_3-SiO_2-F$ glasses by the heattreatment at 80$0^{\circ}C$-110$0^{\circ}C$ where the content of F-1 was changed in the range from 1, 3wt% to 6.1wt%. X-ray diffraction phase analysis and optical observation were adopted to study the crystallization behaviour. The machinability was measured by a manual sawing test and MOR. The crystal phases of these glass-ceramics identified by XRD were chondrodite fluoborite and norbergite at low temperature but fluorophlogopite at high temperature. The crystallization of glasses containing 1.3wt% -2.5wt% F-1 were predominately controlled by surface crystallization while the crystallization of glasses containing 3.8 wt% -6.1wt% F-1 were controlled by volume crystallization. Among the test the best machinability and strength value were obtained from those specimens contained fluoride 4.2wt% -4.4wt% and when the heattreatment was performed at 95$0^{\circ}C$-110$0^{\circ}C$ for 2 hours.

• KSBB Journal
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• v.21 no.6 s.101
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• pp.422-427
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• 2006

The culture media from Fomitopsis pinicola were extracted by methanol and examined growth inhibition against Helicobacter pylori. The culture media from 8 days fermentation of F. pinicola showed maximum inhibition activity on H. pylori in 0.25 mg as MIC value. The highest activity against H. pylori by MHCS agar diffusion medium by Fp-P1 in 22.7 mm ID among 3 peaks from methanol fraction of 8 days culture media of Fomitopsis pinicola which purified by ion-exchange chromatography. The Fp-P1 from DEAE-Sephadex A-25 have been analysed by TLC as Fp-T1, Fp-T2 and Fp-T3 by ninhydrin staining. Fp-T3 (Rf value : 0.67) was higher activity against H. pylori in 14.4 mm ID. Fp-T3 was identified as single band by HPLC and TLC. It was assumed to aminosugar by BioLC analysis and TLC staining.