• Title/Summary/Keyword: $Q^{p*}$

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MULTIPLICITY OF SOLUTIONS FOR QUASILINEAR SCHRÖDINGER TYPE EQUATIONS WITH THE CONCAVE-CONVEX NONLINEARITIES

  • Kim, In Hyoun;Kim, Yun-Ho;Li, Chenshuo;Park, Kisoeb
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1461-1484
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    • 2021
  • We deal with the following elliptic equations: $\{-div({\varphi}^{\prime}(\left|{\nabla}z\right|^2){\nabla}z)+V(x)\left|z\right|^{{\alpha}-2}z={\lambda}{\rho}(x)\left|z\right|^{r-2}z+h(x,z),\\z(x){\rightarrow}0,\;as\;\left|x\right|{\rightarrow}{\infty},$ in ℝN , where N ≥ 2, 1 < p < q < N, 1 < α ≤ p*q'/p', α < q, 1 < r < min{p, α}, φ(t) behaves like tq/2 for small t and tp/2 for large t, and p' and q' the conjugate exponents of p and q, respectively. Here, V : ℝN → (0, ∞) is a potential function and h : ℝN × ℝ → ℝ is a Carathéodory function. The present paper is devoted to the existence of at least two distinct nontrivial solutions to quasilinear elliptic problems of Schrödinger type, which provides a concave-convex nature to the problem. The primary tools are the well-known mountain pass theorem and a variant of Ekeland's variational principle.

Repetitive Pregnancy Loss in inv(22)(p13q12) Carrier

  • Kim, Do-Hoon;Ha, Jung-Sook;Rhee, Jeong-Ho
    • Journal of Genetic Medicine
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    • v.7 no.1
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    • pp.78-81
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    • 2010
  • Pericentric inversion is not rare in humans and is usually benign. However, pericentric inversion can lead to production of an unbalanced recombinant and might be a cause of repetitive pregnancy loss. Pericentric inversion of chromosome 22 is rare and only a few cases have been reported. We report a case of inv(22)(p13q12) carrier who had history of repetitive pregnancy loss including three spontaneous abortions and one fetal hydrops in which the chromosomal complement was rec(22)dup(22q) inv(22)(p13q12)mat. The maternal inv(22) and fetal rec(22) were confirmed by fluorescence in situ hybridization using region-specific probes (TUPLE1 on 22q11.2 and ARSA on 22q13). Because the identification of inv(22) or rec(22) in conventional karyotyping might be easily overlooked, great attention and additional molecular tests are required for accurate diagnosis of inv(22) and rec(22).

A STUDY ON DEGENERATE (p, q, h)-BERNOULLI POLYNOMIALS AND NUMBERS

  • HUI YOUNG LEE
    • Journal of applied mathematics & informatics
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    • v.42 no.5
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    • pp.1145-1153
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    • 2024
  • This paper introduces a more generalized form of the degenerated q-Bernoulli polynomial, termed (p,q)-Bernoulli polynomial, and presents their properties. Various properties including symmetry were investigated, yet properties of symmetry were not identified. However, in the process, another property was discovered, and the purpose is to introduce this newly found property.

Improvement of Dynamic Behavior of Shunt Active Power Filter Using Fuzzy Instantaneous Power Theory

  • Eskandarian, Nasser;Beromi, Yousef Alinejad;Farhangi, Shahrokh
    • Journal of Power Electronics
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    • v.14 no.6
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    • pp.1303-1313
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    • 2014
  • Dynamic behavior of the harmonic detection part of an active power filter (APF) has an essential role in filter compensation performances during transient conditions. Instantaneous power (p-q) theory is extensively used to design harmonic detectors for active filters. Large overshoot of p-q theory method deteriorates filter response at a large and rapid load change. In this study the harmonic estimation of an APF during transient conditions for balanced three-phase nonlinear loads is conducted. A novel fuzzy instantaneous power (FIP) theory is proposed to improve conventional p-q theory dynamic performances during transient conditions to adapt automatically to any random and rapid nonlinear load change. Adding fuzzy rules in p-q theory improves the decomposition of the alternating current components of active and reactive power signals and develops correct reference during rapid and random current variation. Modifying p-q theory internal high-pass filter performance using fuzzy rules without any drawback is a prospect. In the simulated system using MATLAB/SIMULINK, the shunt active filter is connected to a rapidly time-varying nonlinear load. The harmonic detection parts of the shunt active filter are developed for FIP theory-based and p-q theory-based algorithms. The harmonic detector hardware is also developed using the TMS320F28335 digital signal processor and connected to a laboratory nonlinear load. The software is developed for FIP theory-based and p-q theory-based algorithms. The simulation and experimental tests results verify the ability of the new technique in harmonic detection of rapid changing nonlinear loads.

The Determination and Prediction of Pine to Oak Forest Succession in Sugadaira, Central Japan

  • Jun, Kato;Hayashi, Ichiroku
    • The Korean Journal of Ecology
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    • v.26 no.4
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    • pp.155-163
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    • 2003
  • In order to analyze the succession process from a pine forest to an oak forest, the tree growth of Pinus densiflora and Quercus mongolica ssp. crispula was monitored in a permanent quadrat for 23 years. The measurements were carried out for the stem diameter (DBH) of Pinus densiflora between 1977 and 1999 and for the height of Quercus mongolica ssp. crispula saplings between 1998 and 2000. The floristic composition and the locations of the individual P. densiflora and Q. mongolica ssp. crispula trees and saplings in the quadrat were recorded. P densiflora and Q. mongolica ssp. crispula individuals were randomly distributed within the quadrat. The relative growth rates (RGR) of DBH in P. densiflora were 0.085 $yr^{-1}$ for large trees and 0.056 $yr^{-1}$ for small trees in 1977. The RGR of height for Q. mongolica ssp. crispula was 0.122 $yr^{-1}$. The growth curve for DBH of P. densiflora was approximated by the logistic equation: $$DBH(t) = 30 {[1+1.16exp(-0.13 t)]}^{-1}$$ where DBH (t) the DBH (cm) in year t and t is the number of years since 1977. The growth in height of P. densiflora and Q. mongolica ssp. crispula was described by following equations: $$H (t) = 20.2 {[1+0.407exp(-0.137 t)]}^{-1} (P. densiflora)$$ $$H (t) = 30 {[1+20.7exp(-0.122 t)}^{-1} (Q. mongolica ssp. crispula)$$ Where H (t) is the tree height (m) in year t and t is the number of years since 1977 in P. densiflora and 1998 in Q. mongolica ssp. crispula. With these equations we predicted that the height of Q. mongolica ssp. crispula increases from 2 m in 1999 to 20 m in 2029. Therefore, Q. mongolica ssp. crispula and P. densiflora will be approximately the same height in 2029. The years required for succession from a pine forest to an oak forest are expected 33 with the range between 23 and 44 years.

The Effects of the Q-Ray View on Reliability of Assessing a Tooth Status for Dental Hygiene Process (Q-Ray View 활용이 치위생과정을 위한 치아 검사의 신뢰도 향상에 미치는 영향)

  • Oh, Hye-Young;Jung, Hoi-In;Ku, Hye-Min;Kim, Baek-Il
    • Journal of dental hygiene science
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    • v.14 no.4
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    • pp.461-467
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    • 2014
  • The objective of this study was to evaluate the impact of the Q-ray view, a novel optical device on reliability of assessing a tooth status by dental hygiene students in the training for dental hygiene process. Twenty patients were enrolled in this study. Oral examinations were conducted by both seventeen third-year dental hygiene students and a trained faculty member. Traditional visual inspection was performed in phase I and then re-examined with Q-ray view in phase II. Restoration codes and lesion codes for each tooth were recorded separately according to the predefined criteria. As a measure of reliability, percent agreement and Cohen's kappa were determined. Agreements for each intraoral regions and types of lesion and restoration were calculated. Paired t-test and Pearson chi-square test for two proportions were used to compare mean Cohen's kappa and percent agreement at each phase. For the lesion code, mean kappa values of phase II for intraoral regions were significantly greater than that of phase I (p=0.017). For the both of the lesion code and restoration code, percent agreements of phase II for each types of lesion and restoration were significantly greater than that of phase II (p<0.001 and p<0.001, respectively). Especially difference of percent agreements between phase I and II for incipient caries, caries and fracture were significant for the lesion code (p=0.046, p<0.001, and p=0.029, respectively) and for not restored or sealed, tooth-colored restoration were significant for the restoration code (p<0.001 and p=0.011, respectively). The reliability of assessing a tooth status was improved when the Q-ray view used in dental hygiene student with beginner level of expertise. Q-ray view can be a promising device for conducting and educating the dental hygiene process better.

Vegetation Structure and Management Planning of Mountain Type Urban Green Space in Inchon, Korea : a case study of land area (인천광역시 산지형 도시녹지의 식생구조 및 관리계획: 육지지역을 중심으로)

  • Cho, Woo
    • Journal of the Korean Institute of Landscape Architecture
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    • v.26 no.2
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    • pp.15-27
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    • 1998
  • The purposes of this study were to investigate vegetation structure and present management planning of mountain type green space using the green space changes during the 20 years, actual vegetation, and plant community structure in land area of Inchon, Korea. The actual vegetation area in survey sites was consisted of Quercus acutissima community, Robinia pseudoacacia forest, Pinus rigida forest, Q. mongolica-Pinus rigida community, P. rigida-Q. mongolica community, Q. monogolica community and so on. According to the classification by TWINSPAN, 61 survey plots were divided into 9 groups; Q. mongolica-Alnus japonica-R. pseudoacacia-P. densiflora, R. pseudoacacia-Styrax japonica, P. rigida-R. pseudoacacia-Q. mongolica, R. pseudoacacia-P. rigida-Q. mongolica-A. hirusta, Q. mongolica-P. thunbergii, and prunus sargentii-Zelkova serrata community. From this result, ecological succession trend of vegetation seems to be change from artificial result, ecological succession trend of vegetation seems to be change from artificial planting forest to native plant community which was dominated by Quercus spp.. This study area need to manage for the increase of biodiversity through the restoration of naturalness by ecological management of artificial planting forest and ecological planting of injured green space.

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