• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1411-1429
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• 2016

We consider the nite volume element method for elliptic problems using isoparametric bilinear elements on quadrilateral meshes. A gradient recovery method is presented by using the patch interpolation technique. Based on some superclose estimates, we prove that the recovered gradient $R({\nabla}u_h)$ possesses the superconvergence: ${\parallel}{\nabla}u-R({\nabla}u_h){\parallel}=O(h^2){\parallel}u{\parallel}_3$. Finally, some numerical examples are provided to illustrate our theoretical analysis.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.4
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• pp.725-733
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• 2011

The characteristic connection is a good substitute for the Levi-Civita connection, especially in studying non-integrable geometries. Unfortunately, not every geometric structure has the characteristic connection. In this paper we consider the space $U(3)/(U(1){\times}U(1){\times}U(1))$ with an almost Hermitian structure and prove that it has a geometric structure admitting the characteristic connection.

• Fashion & Textile Research Journal
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• v.9 no.6
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• pp.658-662
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• 2007

It has been well known that mushroom polysaccharide extracts have superoxide and hydroxyl radical scavenging activities. So we studied the efficacy and anti-oxidative effect of mushroom(Auricularia auricula U.) in rats treated with water and ethanol extracts of Auricularia auricula U after inducing dryness of skin by the application of detergent. The results of the research for of the efficacy and anti-oxidative effect Auricularia auricula U. are as follows thats. Weight gain and feed intake in animals treated with water extracts and ethanol extracts are significantly higher(p<0.05) than animal treated with detergent. Animals treated with water extracts of Auricularia auricula U. compared to animals treated with ethanol extracts have the higher HDL-cholesterol levels in the blood and the lower LDL-cholesterol levels in the blood. SOD-like activity of the ethanol extracts of Auricularia auricula U. was $27.39{\pm}1.61%$ at 2000ppm.

• Bulletin of the Korean Mathematical Society
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• v.53 no.6
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• pp.1805-1821
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• 2016

In this paper, we are concerned with the nonlinear elliptic equations of the p(x)-Laplace type $$\{\begin{array}{lll}-div(a(x,{\nabla}u))+{\mid}u{\mid}^{p(x)-2}u={\lambda}f(x,u) && in\;{\Omega}\\(a(x,{\nabla}u)\frac{{\partial}u}{{\partial}n}={\lambda}{\theta}g(x,u) && on\;{\partial}{\Omega},\end{array}$$ which is subject to nonlinear Neumann boundary condition. Here the function a(x, v) is of type${\mid}v{\mid}^{p(x)-2}v$ with continuous function $p:{\bar{\Omega}}{\rightarrow}(1,{\infty})$ and the functions f, g satisfy a $Carath{\acute{e}}odory$ condition. The main purpose of this paper is to establish the existence of at least three solutions for the above problem by applying three critical points theory due to Ricceri. Furthermore, we localize three critical points interval for the given problem as applications of the theorem introduced by Arcoya and Carmona.

• Bulletin of the Korean Mathematical Society
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• v.54 no.3
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• pp.895-909
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• 2017

This paper is concerned with the following fourth-order elliptic equations $${\Delta}^2u-{\Delta}u+V(x)u-{\frac{k}{2}}{\Delta}(u^2)u=f(x,u),\text{ in }{\mathbb{R}}^N$$, where $N{\leq}6$, ${\kappa}{\geq}0$. Under some appropriate assumptions on V(x) and f(x, u), we prove the existence of infinitely many negative-energy solutions for the above system via the genus properties in critical point theory. Some recent results from the literature are extended.

• KIEAE Journal
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• v.10 no.6
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• pp.21-26
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• 2010

This study is to suggest basic data for the policy on the energy demand and management of an U-based city compliant with characteristics of regions and districts in future city by conducting research on the energy consumption and management of an U-based city, considering city energy demand characteristics focused on the center district of Daegu metropolitan city. U-based city energy consumption and management solution is considered to be effective in establishing the guideline of environment-friendly urban architecture planning as well as the assessment of energy consumption characteristics in a city.

• Journal of applied mathematics & informatics
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• v.28 no.5_6
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• pp.1143-1156
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• 2010

In this paper, we study the following p&q-Laplacian problem with critical Sobolev and Hardy exponents {$-{\Delta}_pu-{\Delta}_qu={\mu}\frac{{\mid}u{\mid}^{p^*(s)-2}u}{{\mid}x{\mid}^s}+{\lambda}f(x,\;u)$, in $\Omega$, u=0, on $\Omega$, where ${\Omega}\;{\subset}\;\mathbb{R}^{\mathbb{N}}$ is a bounded domain and ${\Delta}_ru=div({\mid}{\nabla}u{\mid}^{r-2}{\nabla}u)$ is the r-Laplacian of u. By using the variational method and concentration-compactness principle, we obtain the existence of infinitely many small solutions for above problem which are the complement of previously known results.

• Journal of the Society of Disaster Information
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• v.6 no.1
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• pp.92-119
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• 2010

As the necessity to utilize deep-placed underground spaces is increasing, we have to seriously consider the safety problems arising from the U/G spaces which is a restricted environment. Due to the higher cost of land compensation for above ground area and environmental issues, the plan to utilize deep-placed U/G spaces is currently only being established for the construction of U/G road network and GTX. However it is also expected that the U/G spaces are to be used as a living space because of the growing desires to change the above ground areas into the environmentally green spaces. Accordingly it is necessary to protect the U/G environments which is vulnerable against desasters caused by fire, explosion, flooding, terrorism, electric power failure, etc. properly. We want to introduce the principles of the Quantitative Risk Assessment(QRA) method for preparedness against the desasters arising from U/G environments, and also want to introduce an example of QRA which was implemented for the GOTTHARD tunnel which is the longest one in Europe.

• Proceedings of the PSK Conference
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• 2002.10a
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• pp.320.2-320.2
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• 2002

Macrophages activated by lipopolysaccharide (LPS) are known to induce several proinflammatory proteins including COX-2. iNOS and TNF which produce chemical mediators involved in inflammatory response. Sophoricoside and its analogs (genistin, genistein and orobol) from Sophora japonica (Leguminosae) showed differential inhibitory effects on COX-1 and 2 activities. Sophoricoside and genistin shwoed IC50 values of 4 uM and 6 uM on COX-2 activity and of 1,497 uM and 135 uM on COX-1 activity, respectively. Genistein and orobol showed IC50 values of 3 uM on COX-2 activity and of 28 uM and 18 uM on COX-1 activity. respectively. Therefore. the legume isoflavonoids to be selective COX-2 inhibitors. However. sophoricoside and its analogs did not show inhibitory effects of COX-2, iNos and TNF transcripts. which were identified by the RT-PCR.

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 2001.10a
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• pp.66-70
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• 2001

The purpose of this paper is to investigate the characteristics of springback for the U-bending of steel sheets for automotive body panels. This study presents the experimental and analytical approach for the two kind of steel sheets, namely SCP1 and TRIP(Transformation-induced plasticity), the newly developed high strength steel. The adopted thicknesses are 0.8, 1.2 and 1.6 mm for SCP1, and 1.0 mm for TRIP. The punch profile radii are designed in 3, 6, 9, 12, and 15 mm. As results, the springgo aspect could be observed experimently in the small punch profile radius. The degree of springback for TRIP sheets was more than the SCP1 sheets.