• Title/Summary/Keyword: weak type (p,p)

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BIHARMONIC-KIRCHHOFF TYPE EQUATION INVOLVING CRITICAL SOBOLEV EXPONENT WITH SINGULAR TERM

  • Tahri, Kamel;Yazid, Fares
    • Communications of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.247-256
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    • 2021
  • Using variational methods, we show the existence of a unique weak solution of the following singular biharmonic problems of Kirchhoff type involving critical Sobolev exponent: $$(\mathcal{P}_{\lambda})\;\{\begin{array}{lll}{\Delta}^2u-(a{\int}_{\Omega}{\mid}{\nabla}u{\mid}^2dx+b){\Delta}u+cu=f(x){\mid}u{\mid}^{-{\gamma}}-{\lambda}{\mid}u{\mid}^{p-2}u&&\text{ in }{\Omega},\\{\Delta}u=u=0&&\text{ on }{\partial}{\Omega},\end{array}$$ where Ω is a smooth bounded domain of ℝn (n ≥ 5), ∆2 is the biharmonic operator, and ∇u denotes the spatial gradient of u and 0 < γ < 1, λ > 0, 0 < p ≤ 2# and a, b, c are three positive constants with a + b > 0 and f belongs to a given Lebesgue space.

Pharmacological Studies on Ether Fraction of Corni Fructus (산수유 에텔분획물의 약리작용에 관한 연구)

  • 이은방;최병천;조태순
    • YAKHAK HOEJI
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    • v.29 no.1
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    • pp.1-10
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    • 1985
  • The ether fraction obtained from dry fruit of Cornus officinalis was investigated for the anti-inflammatory action, acute toxicity and central nervous system activities. From several pharmacological examinations, it was found that the ether fraction suppressed considerably carrageenin edema at the dose of 600mg/kg p.o. in rats, inhibited the granuloma formation in rats as given 100mg/kg p.o. for 7 days and decreased the swelling of both of complete adjuvant injected and noninjected (contralateral) paws of the rats at the dose of 100mg/kg p.o. given for 14 days. The $LD_{50}$ of the fraction are estimated to be more than 2,000mg/kg p. o. and 642mg/kg i. p. in mice. And the fraction did not show any sedative, stimulative, analgesic and anticonvulsant action but exhibited hypothermic action. These results might be concluded that the ether fraction of Corni fructus showed anti-inflammatory action in both of acute and chronic type models without any considerable central nervous depressant activity and exhibited very weak acute toxicity in mice.

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Metamorphic Evolution of the central Ogcheon Metamorphic Belt in the Cheongju-Miwon area, Korea (청주-미원지역 중부 옥천변성대의 변성진화과정)

  • 오창환;권용완;김성원
    • The Journal of the Petrological Society of Korea
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    • v.8 no.2
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    • pp.106-124
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    • 1999
  • In the Cheongju-Minwon area which occupies the middle part of the Ogcheon Metamorphic Belt, three metamorphic events(M1, M2, M3) had occurred. Intermediate P/T type M2 regional metamorphism formed prevailing mineral assemblages in the study area. Low PIT type M3 contact metamorphism occurred due to the intrusion of granites after M2 metamorphism. M1 metamorphism is recognized by inclusions within garnet. During M2 metamorphism, the metamorphic grade increased from the biotite zone in the southeastern part to the garnet zone in the northwestern part of the study area. This result is similar to the metamorphic evolution of the southwestern part of the Ogcheon Metamorphic Belt. Garnets in the garnet zone are classified into two types; Type A garnet has inclusions whose trail is connected to the foliation in the matrix and Type B garnet has inclusion rich core and inclusion poor rim. Type A garnet formed in the mica rich part with crenulation cleavage whereas Type B garnet formed in the quartz rich part with weak crenulation cleavage. In some outcrops, two types garnets are found together. Compared to the rim of Type A garnet, the rim of Type B garnet is lower in grossular and spessartine contents but higher in almandine and pyrope contents. In some Type B garnets, the inclusion poor part is rimmed by muddy colored or protuberant new overgrowth. In the inclusion poor part and new overgrowth, a rapid increase in grossular and decrease in spessartine is observed. However, the compositional patterns of Type A and B are similar; Ca increases and Mn decreases from core to rim. Two types garnets formed mainly due to the difference of bulk chemistry instead of metamorphic and deformational differences. The metamorphic P-T conditions estimated from Type A garnets are 595-690 OC15.7-8.8 kb, which indicates M2 metamorphism is intermediate P/T type metamorphism. On the other hand, a wide range of P-T conditions is calculated from Type B garnets. The P-T conditions from most Type B garnet rims are 617-690 OC16.2-8.9 kb which also indicates an intermediate P/T type metamorphism. However, at the rim part with flat end or weak overgrowth, grossular content is low and 573-624OC14.7-5.8 kb are estimated. The P-T conditions calculated from plagioclase and biotite inclusions in garnet are 460-500 0C/1.9-3.0 kb. The P-T conditions from rim part with weak overgrowth and inclusions within garnet, indicate that low P/T type M1 regional metamorphism might have occurred before intermediate P/T type M2 regional metamorphism. The P-T conditions estimated from samples which had undergone low PIT type M3 metamorphism strongly, are 547-610 0C/2.1-5.0 kb.

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WEAK COMPATIBLE MAPPINGS OF TYPE (A) AND COMMON FIXED POINTS IN MENGER SPACES

  • Pathak, H.K.;Kang, S.M.;Baek, J.H.
    • Communications of the Korean Mathematical Society
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    • v.10 no.1
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    • pp.67-83
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    • 1995
  • The notion of probabilistic metric spaces (or statistical metric spaces) was introduced and studied by Menger [19] which is a generalization of metric space, and the study of these spaces was expanede rapidly with the pioneering works of Schweizer-Sklar [25]-[26]. The theory of probabilistic metric spaces is of fundamental importance in probabilistic function analysis. For the detailed discussions of these spaces and their applications, we refer to [9], [10], [28], [30]-[32], [36] and [39].

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Effects of Ionic Speciation of Lysine on Its Adsorption and Desorption Through a Sulfone-type Ion-Exchange Column

  • Choi, Dong-Hyouk;Lee, Ki-Say
    • Journal of Microbiology and Biotechnology
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    • v.17 no.9
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    • pp.1527-1532
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    • 2007
  • Lysine produced during microbial fermentation is usually recovered by an ion-exchange process, in which lysine is first converted to the cationic form (by lowering the pH to less than 2.0 with sulfuric acid) and then fed to a cationexchange column containing an exchanger that has a sulfone group with a weak counterion such as NH;. Ammonia water with a pH above 11 is then supplied to the column to displace the purified lysine from the column and allow its recovery. To enhance the adsorption capacity and for a possible reduction in chemical consumption, monovalent lysine fed at pH 4 was investigated in comparison with conventional divalent lysine fed at pH 1.5. The adsorption capacity increased by more than 70% on a mass basis using pH 4 feeding compared with pH 1.5 feeding. Lysine adsorbed at pH 4 started to elute earlier than that adsorbed at pH 1.5 when ammonia water was used as the eluant solution, and the extent of early elution became more notable at lower concentrations of ammonia. Moreover, the elution of monovalent lysine fed at pH 4 displayed a stiffer front boundary and higher peak concentration. However, when the ammonium concentration was greater than 2.0 N, complete saturation of the bed was delayed during adsorption and the percent recovery yield from elution was lowered., both drawbacks that were considered inevitable features originating from the increased adsorption of monovalent lysine.

A Study on the relationship between nursing organizational culture and organizational performance (병원 간호조직문화와 조직성과에 관한 연구)

  • Han, Su-Jeong
    • Journal of Korean Academy of Nursing Administration
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    • v.8 no.3
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    • pp.441-456
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    • 2002
  • Purpose : This research is, by investigating the relations between the cultural types of a nursing organization in a hospital and performance, to ascertain the cultural types to be able to improve performance. Method : The data were gathered from 487 nurses and 328 patients who were in eight general hospitals by using the self-report type of questionnaires. The period of data collection was from August 10, 2000 to September 10, 2000. For this research, the following tools were used; the tools for measuring the organizational characteristics, organizational culture, and job satisfaction, the tool for measuring organizational commitment, and the tool for measuring patients' satisfaction. For data analysis the SPSS Win 7.5 program was used. Result : 1) There was a significant difference in the organizational culture type according to the establishment type of hospital. 2) In the relationship between organization characteristics and organizational culture of a hospital were correlated with the type of each culture(p=0.00). 3) In the relation between the organizational culture type of hospital and its performance, there was a strong positive correlation between innovation-oriented culture and job satisfaction. And relation-oriented culture and task-oriented culture showed that they had a weak positive correlation with job satisfaction(p=0.00). There were a positive correlation between affective commitment and relation-oriented, innovation-oriented cultures(p=0.00), and there were no culture type significantly related to continuance commitment and there was a weak positive correlation among normative commitment and innovation-oriented culture, relation-oriented culture(p=0.00). 4) The types to have an influence upon nurses' job satisfaction were innovation-oriented culture and relation-oriented culture. These had 34.5% of influence with job satisfaction.. The type of organizational culture did not influence continuance commitment, but it had an influence on affective commitment and normative commitment. And relation-oriented culture and innovation-oriented culture had 21% of an influence with affective commitment, and they had 9.5% of an influence with normative commitment. Conclusion : As the above mentioned research results, the organizational culture type was found which had an influence upon nurses' job satisfaction and organizational commitment and patients' satisfaction in nursing service. These results are very significant in having showed the persons in charge of nursing administration a basic data for creation of an effective organizational culture.

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Analysis of the MVM P38 Promoter Distal DNA cis-Elements Responsible for Transactivation by Nonstructural Proteins

  • Kim, Yoo-Nha;Ahn, Jeong-Keun
    • BMB Reports
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    • v.29 no.5
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    • pp.468-473
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    • 1996
  • The P38 promoter of minute virus of mice (MVM) is a very weak promoter which is strongly transactivated by viral nonstructural proteins. To analyze the upstream sequence of the P38 promoter which is responsible for the transactivation by nonstructural proteins in MVM, chloramphenicol acetyltransferase (CAT) reporter plasm ids containing a series of 5' deletion and internal deletion mutants of the P38 promoter were constructed. The wild type and mutant CAT constructs of P38 promoter were cotransfected into murine A92L fibroblast cells with a plasmid expressing viral nonstructural proteins by DEAE-dextran method. Each promoter activity was analyzed by CAT assay. As previously reported (Ahn et al., 1992), the proximal DNA cis-elements required for transactivation of the MVM P38 promoter are GC box and TATA box. However, the analysis of 5' deletion mutants showed that H-l tar like sequence (MVM TAR) which is located between -143 and -122 relative to the transcription initiation site is also required for transactivation of the P38 promoter by nonstructural proteins. Interestingly, even if the MVM TAR was removed by internal deletion, the level of the transactivation is still 70% of wild type level of transactivation. We also found that, in addition to the MVM TAR motif, there are two other motifs which are similar to the MVM TAR sequence. When these TAR like motifs were further deleted, the levels of transactivation were decreased further. Taken together, the MVM TAR sequence and TAR like motifs located upstream of P38 promoter are playing an important role for the transactivation of P38 promoter by nonstructural proteins in minute virus of mice.

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AN ARTINIAN POINT-CONFIGURATION QUOTIENT AND THE STRONG LEFSCHETZ PROPERTY

  • Kim, Young Rock;Shin, Yong-Su
    • Journal of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.763-783
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    • 2018
  • In this paper, we study an Artinian point-configuration quotient having the SLP. We show that an Artinian quotient of points in $\mathbb{p}^n$ has the SLP when the union of two sets of points has a specific Hilbert function. As an application, we prove that an Artinian linear star configuration quotient $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP if $\mathbb{X}$ and $\mathbb{Y}$ are linear starconfigurations in $\mathbb{p}^2$ of type s and t for $s{\geq}(^t_2)-1$ and $t{\geq}3$. We also show that an Artinian $\mathbb{k}$-configuration quotient $R/(I_{\mathbb{X}}+I_{\mathbb{Y}})$ has the SLP if $\mathbb{X}$ is a $\mathbb{k}$-configuration of type (1, 2) or (1, 2, 3) in $\mathbb{p}^2$, and $\mathbb{X}{\cup}\mathbb{Y}$ is a basic configuration in $\mathbb{p}^2$.

Strain Improvement of Leuconostoc mesenteroides for Kimchi Fermentation and Effect of Starter (김치 발효를 위한 Leuconostoc mesenteroides 균주의 개량과 starter로의 첨가효과)

  • Kang, Sang-Mo;Yang, Wan-Suk;Kim, Young-Chan;Joung, Eun-Young;Han, Yong-Gu
    • Microbiology and Biotechnology Letters
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    • v.23 no.4
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    • pp.461-471
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    • 1995
  • The heterofermentative Leuconostoc mesenteroides, which is propagated from the initial to the intermediate stage of Kimchi fermentation, produces organic acids and carbon dioxide to impart refreshment, weak acid taste to Kimchi. But owing to lactic acid production by the homofermentative Lactobacillus Plantarum, Kimchi finally reaches its acidified state. So, Leu. mesenteroides was isolated from Kimchi and identified and was improved by mutation for carbon dioxide production at low pH, and for the high total acceptability. We tested with a wild-type strain K-1 and its improved mutant strain M-10 of Leu. mesenteroides. The wild-type strain K-1 could grow in pH 4.2 at 30$\circ$C or 20$\circ$C, and in pH 5.0 at 10$\circ$C. But the mutant strain M-10 could grow in pH 3.3 at 10$\circ$C. In the respect of total acceptability, mutant strain M-10 inoculated Kimchi was ever better than any others. Mutant M-10 inoculated Kimchi prolonged the optimum ripening period of Kimchi up to two times as compared with the control group.

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HARDY TYPE ESTIMATES FOR RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS ON THE HEISENBERG GROUP

  • Gao, Chunfang
    • Journal of the Korean Mathematical Society
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    • v.59 no.2
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    • pp.235-254
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    • 2022
  • Let ℍn be the Heisenberg group and Q = 2n + 2 be its homogeneous dimension. Let 𝓛 = -∆n + V be the Schrödinger operator on ℍn, where ∆n is the sub-Laplacian and the nonnegative potential V belongs to the reverse Hölder class $B_{q_1}$ for q1 ≥ Q/2. Let Hp𝓛(ℍn) be the Hardy space associated with the Schrödinger operator 𝓛 for Q/(Q+𝛿0) < p ≤ 1, where 𝛿0 = min{1, 2 - Q/q1}. In this paper, we consider the Hardy type estimates for the operator T𝛼 = V𝛼(-∆n + V )-𝛼, and the commutator [b, T𝛼], where 0 < 𝛼 < Q/2. We prove that T𝛼 is bounded from Hp𝓛(ℍn) into Lp(ℍn). Suppose that b ∈ BMO𝜃𝓛(ℍn), which is larger than BMO(ℍn). We show that the commutator [b, T𝛼] is bounded from H1𝓛(ℍn) into weak L1(ℍn).