• Title/Summary/Keyword: Nonexistence

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NONEXISTENCE OF NODAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH SOBOLEV-HARDY TERM

  • Choi, Hyeon-Ock;Pahk, Dae-Hyeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.12 no.4
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    • pp.261-269
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    • 2008
  • Let $B_1$ be a unit ball in $R^n(n{\geq}3)$, and $2^*=2n/(n-2)$ be the critical Sobolev exponent for the embedding $H_0^1(B_1){\hookrightarrow}L^{2^*}(B_1)$. By using a variant of Pohoz$\check{a}$aev's identity, we prove the nonexistence of nodal solutions for the Dirichlet problem $-{\Delta}u-{\mu}\frac{u}{{\mid}x{\mid}^2}={\lambda}u+{\mid}u{\mid}^{2^*-2}u$ in $B_1$, u=0 on ${\partial}B_1$ for suitable positive numbers ${\mu}$ and ${\nu}$.

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NONEXISTENCE OF SOME EXTREMAL SELF-DUAL CODES

  • Han, Sun-Ghyu;Lee, June-Bok
    • Journal of the Korean Mathematical Society
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    • v.43 no.6
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    • pp.1357-1369
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    • 2006
  • It is known that if C is an [24m + 2l, 12m + l, d] selfdual binary linear code with $0{\leq}l<11,\;then\;d{\leq}4m+4$. We present a sufficient condition for the nonexistence of extremal selfdual binary linear codes with d=4m+4,l=1,2,3,5. From the sufficient condition, we calculate m's which correspond to the nonexistence of some extremal self-dual binary linear codes. In particular, we prove that there are infinitely many such m's. We also give similar results for additive self-dual codes over GF(4) of length n=6m+1.

NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C

  • Kim, Un-Kyu
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.699-708
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    • 2004
  • Niebergall and Ryan posed many open problems on real hypersurfaces in complex space forms. One of them is "Are there any Ricci-parallel real hypersurfaces in complex projective space $P_2C$ or complex hyperbolic space $H_2C$\ulcorner" The purpose of present paper is to prove the nonexistence of such hypersurfaces.

EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY

  • Chan-Gyun Kim
    • East Asian mathematical journal
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    • v.39 no.1
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    • pp.29-36
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    • 2023
  • In this paper, we consider φ-Laplacian nonlocal boundary value problems with singular weight function which may not be in L1(0, 1). The existence and nonexistence of positive solutions to the given problem for parameter λ belonging to some open intervals are shown. Our approach is based on the fixed point index theory.

The Effects of Undergraduate's Optimism and Family-control on Their Awareness of Caregiving for the Elderly (대학생의 낙관성과 가족통제감이 노인부양의식에 미치는 영향)

  • Park, In-Jeon;Choi, Wae-Sun;Kim, Ae-Hee
    • Korean Journal of Human Ecology
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    • v.17 no.1
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    • pp.13-26
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    • 2008
  • The purposes of this study was to examine the effects of undergraduate's optimism and family-control on their awareness of caregiving for the elderly. The subjects for this study were 374 undergraduates from 4 universities in G city. The collected data were analyzed with SPSS WIN(ver. 12.0) program, and frequency and percentile, mean and standard deviation, t-test, correlation analysis, multiple regression, and path analysis were utilized. The main findings of the study were as follows. The undergraduate's degree of optimism and family-control, and their awareness of caregiving for the elderly were slightly higher than the average. In addition, the undergraduate's optimism and family-control were differed according to their 'existence and/or nonexistence of religion', and their awareness of caregiving for the elderly was significantly different depending on 'existence and/or nonexistence of religion', and 'existence and/or nonexistence of living together with their grandparents'. It was also found that the undergraduate's awareness of caregiving for the elderly was directly influenced by their family-control, whereas their awareness of caregiving for the elderly was indirectly influenced by their optimism via family-control.

The Influence of a Physical-Related Stress on Appearance Management Behavior of Middle-aged Women (중년 여성의 신체 관련 스트레스가 외모 관리 행동에 미치는 영향)

  • Jeon, Hyun-Jin;Chung, Myung-Sun
    • The Research Journal of the Costume Culture
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    • v.16 no.1
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    • pp.115-129
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    • 2008
  • The purpose of this study was to investigate the influence of the physical-related stress on the appearance management behavior of middle-aged women. The questionnaires were administered to 414 middle-aged women living in Gwang-ju city, Korea. For analysis of data, descriptive statistics, factor analysis, Cronbach's ${\alpha}$, t-test, ANOVA and Duncan-test were applied. The result was as follows. First, the middle-aged women's physical-related stress was classified as follows: 1) body-related stress, 2) face-related stress, 3) hair-related stress. The middle-aged women were under a lot of pressures from hair. Second, usually, between the group of physical-related much stress and a little stress. There was not significant difference in appearance management behavior: existence in a purchasing experience. But there were significant differences in it: intention of purchasing. Third, among demographic factors(age, educated level, job, income, and existence or nonexistence menstruation), there were significant differences on a physical-related stress. Finally, among demographic factors(age, educated level, job, income, existence or nonexistence her husband, and existence or nonexistence menstruation), there were significant differences in appearance management behavior.

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The Effects of Temporary Visual Block on the Foot Pressure and Foot Area of Chronic Stroke Patients (일시적인 시각차단이 만성 뇌졸중 환자의 지면 족저압 분포와 족부면적에 미치는 영향)

  • Jeong, Seong-Hwa;Koo, Hyun-Mo
    • PNF and Movement
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    • v.17 no.1
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    • pp.103-109
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    • 2019
  • Purpose: The purpose of this study was to investigate the effect of temporary visual block existence and nonexistence on the change in foot pressure and foot area in stroke patients. Methods: Sixty-one chronic stroke patients volunteered to participate in the study. Foot pressure and foot area were measured using the Biorescue system. The subject maintain a comfortable standing position on the pressure-measuring plate one meter away from the computer. The sequence of the visual variation data while standing on the measuring plate was collected randomly. The data were collected with three repetitions and used the five-second measuring values except the first second and the last second according to each visual condition. All data were analyzed using SPSS version 21.0. The significance level for the statistical inspection was set as 0.05. Results: The comparison between the visual existence and nonexistence status showed statistically significant effects on foot pressure and foot area. The visual nonexistence status showed more improvement in foot pressure symmetry and area than visual existence status. Conclusion: This study shows that the foot pressure and foot area for the chronic stroke patients changed according to the visual states. It is predicted that these data will be used in rehabilitation training programs and to present temporary changes in visual status for stroke patients.