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REGULARITY AND MULTIPLICITY OF SOLUTIONS FOR A NONLOCAL PROBLEM WITH CRITICAL SOBOLEV-HARDY NONLINEARITIES

  • Alotaibi, Sarah Rsheed Mohamed;Saoudi, Kamel
    • Journal of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.747-775
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    • 2020
  • In this work we investigate the nonlocal elliptic equation with critical Hardy-Sobolev exponents as follows, $$(P)\;\{(-{\Delta}_p)^su={\lambda}{\mid}u{\mid}^{q-2}u+{\frac{{\mid}u{\mid}^{p{^*_s}(t)-2}u}{{\mid}x{\mid}^t}}{\hspace{10}}in\;{\Omega},\\u=0{\hspace{217}}in\;{\mathbb{R}}^N{\backslash}{\Omega},$$ where Ω ⊂ ℝN is an open bounded domain with Lipschitz boundary, 0 < s < 1, λ > 0 is a parameter, 0 < t < sp < N, 1 < q < p < ps where $p^*_s={\frac{N_p}{N-sp}}$, $p^*_s(t)={\frac{p(N-t)}{N-sp}}$, are the fractional critical Sobolev and Hardy-Sobolev exponents respectively. The fractional p-laplacian (-∆p)su with s ∈ (0, 1) is the nonlinear nonlocal operator defined on smooth functions by $\displaystyle(-{\Delta}_p)^su(x)=2{\lim_{{\epsilon}{\searrow}0}}\int{_{{\mathbb{R}}^N{\backslash}{B_{\epsilon}}}}\;\frac{{\mid}u(x)-u(y){\mid}^{p-2}(u(x)-u(y))}{{\mid}x-y{\mid}^{N+ps}}dy$, x ∈ ℝN. The main goal of this work is to show how the usual variational methods and some analysis techniques can be extended to deal with nonlocal problems involving Sobolev and Hardy nonlinearities. We also prove that for some α ∈ (0, 1), the weak solution to the problem (P) is in C1,α(${\bar{\Omega}}$).

Study of the U.S. Missile Non-proliferation Policy Applied on Space Launch Vehicles of India and China (인도와 중국 우주발사체에 적용된 미국의 비확산정책 연구)

  • Choe, Nammi
    • Journal of Aerospace System Engineering
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    • v.10 no.4
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    • pp.59-66
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    • 2016
  • India and China are capable of developing indigenous space launch vehicles, with the rocket technology transferred from the U.S., Western countries, and the Soviet Union, in the 1950s and 1960s. Barring the early 1990s, both countries are absent in the missile nonproliferation regime, and have no major space cooperation records with the U.S., since the establishment of the Missile Technology Control Regime in 1987. With the advent of the $21^{st}$ century, historic progress has been made in the U.S.-India space cooperation, which includes using Indian launch vehicles to launch U.S.non-commercial satellites. However, the U.S. is skeptical with regards to space cooperation and using Chinese space launch vehicle services. In this paper, we present the U.S. nonproliferation policy applied on launch vehicles of India and China, and different aspects of the policy will be examined to draw implications on Korean space activities.

A Study on the Change of the Trump Administration's Alliance Policy (트럼프 행정부의 동맹정책 변화에 관한 연구)

  • Choi, Won Sang;Shin, Jin
    • Convergence Security Journal
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    • v.19 no.4
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    • pp.55-66
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    • 2019
  • For the past 66 years, the Korea-U.S. alliance has been a typical asymmetric alliance in which the U.S. supports South Korea's security during the Cold War and South Korea gives some of its policy autonomy to the U.S. But Lee Myung-bak government military alliance the 'comprehensive strategic alliance' of the character, 'value of alliance', Park Geun-hye ' a global, 'Frontier of cooperation', the government.'reciprocal, comprehensive alliance' Moon Jae-in, the government and partnerships developed with ' euroui the development of national security strategy said. The purpose of this study is to explore ways to build a reciprocal and comprehensive Korea-U.S. alliance for the development of the Korea-U.S. alliance policy in order to ensure South Korea's policy autonomy following changes in the Trump administration's alliance policy. The results of the research show the need for Korea to participate in the U.S.-led 'India-Pacific Strategy' continue diplomatic efforts for the mutual economic benefits of the two countries and strengthen public diplomacy in order to build the Korea-U.S. alliance in a reciprocal and comprehensive manner.

Asymmetric Price Differential between Medium and Small Class Cars across Countries: A Case Study - Korea and the U.S.

  • Lee, Woong;Hong, Hyung Ju
    • East Asian Economic Review
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    • v.16 no.3
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    • pp.249-272
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    • 2012
  • This paper examines how a Korean automobile firm price-discriminates between the Korean and the U.S. markets. We argue that a Korean automobile firm's pricing behavior depends on the differences in price elasticity over the segmented markets between the countries. Our findings are that differences in price elasticity may help explain why a medium-class car's price is higher in Korea than that in the U.S. while a small-sized car's price is higher in the U.S. than in Korea, which implies that a Korean automobile firm $3^{rd}$ degree price-discriminates on the same or similar products between Korea and the U.S. This type of $3^{rd}$ degree price discrimination differs from a typical home-bias effect (charging higher prices to domestic consumers) because a small-sized car which is produced domestically sells at higher price abroad. This finding can be added as a source that violates the law of one price.

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Action mechanism of upstream open reading frame from S-adenosylmethionine decarboxylase gene as a in vivo translational inhibitor (S-Adenosylmethionine decarboxylase 유전자의 upstream open reading frame이 in vivo에서 translational inhibitor 로서의 작용 기작)

  • Choi, Yu-Jin;Park, Ky-Young
    • Journal of Plant Biotechnology
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    • v.38 no.1
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    • pp.87-93
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    • 2011
  • S-Adenosylmethionine decarboxylase (SAMDC; EC 4.1.4.50), a key enzyme for polyamines biosynthesis, was tightly regulated for homeostatic levels. Carnation SAMDC gene (CSDC9) has an small upstream open reading frame (uORF) of 54 amino acids in 5'-leader sequence. To explore the functional mechanism of uORFs in controlling translation, we used a GUS reporter gene driven with the 35S promoter and uORF region of SAMDC gene for making transgenic tobacco plants. In our experiment, there were a translational inhibition of its downstream GUS ORF by SAMDC uORF sequence or SAMDC uORF protein. Expecially, translational inhibition was most effective in point-mutated construct, in which the start codon was changed. Therefore, this results suggested the ribosomal stalling might be involved in this translational inhibitory process. The frame shift in amino acid sequence of SAMDC uORF with start codon and stop codon resulted in a moderate increasing in GUS activity, suggesting the native amino acid sequence was important for a function as a translational inhibitor. Also, we showed that the production of GUS protein was significantly inhibited in the presence of the small uORF using histochemical analysis of GUS expression in seedlings and tobacco flowers. Importantly, the small uORF sequence induced a real peptide of 5.7 kDa, which was provided the presence of SAMDC uORF peptide band using an in vitro transcription/translation system. The peptide product of uORF might interact with other components of translational machinery as well as polyamines, which was resulted from that polyamine treatment was inhibited GUS protein band in SDS-PAGE experiment.

A Study on US Free and Open Indo-Pacific Strategy and Distributed Lethality (인도-태평양(FOIP) 전략과 전력분산의 치명성에 관한 연구)

  • Kim, Tae-sung
    • Strategy21
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    • s.44
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    • pp.28-53
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    • 2018
  • The U.S. has recently developed Free and Open Indo-Pacific strategy and Distributed Lethality strategy based on a common perception that they are responding to China's threats. In the future, it is anticipated the following. Strengthen cooperation of the U.S.-India-Vietnam navy, Maximizing the combined combat power between the U.S. and regional navies, Improving its ability to restore damage control, Economic cooperation between the Pacific and Indian countries. The meanings given to the Korean navy are as follows. First, South Korea should pursue cooperation with the Indian Navy, which will grow into a regional balance on China's growth. The growth of the Indian navy is expected to increase cooperation with other Pacific countries. The government should seek ways to promote cooperation with india navy in various fields. Secondly, it is a joint drill between the U.S. Navy and the Korean Navy. Recently, the Korea-U.S. joint drill has not been conducted and many changes are expected to be made regarding the implementation of the joint drill in the future. Therefore, it is necessary to respond to possible changes in the naval relationship between Korea navy and the U.S. navy Also, due to distributed lethality strategy, preparations for operations and training with U.S.navy will be necessary. Lastly, it should contribute to cooperation among regional countries in preparation for maritime territorial disputes. The growth of the Chinese navy and the territorial disputes in the East and South China sea has raised the possibility of accidental military clashes at sea. Therefore, the government should make efforts to create multilateral security cooperation systems that can continue to promote the prevention of armed conflict.

The U.S. Supreme Court Finally Limits the Scope of Judicial Assistance in Private International Arbitral Proceedings Pursuant to 28 U.S.C. §1782 in its Recent Decision of ZF Auto. US, Inc., v. Luxshare, Ltd., 596 U.S. ___ (2022)

  • Jun, Jung Won
    • Journal of Arbitration Studies
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    • v.32 no.3
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    • pp.29-46
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    • 2022
  • Until recently, there has been a circuit split as to whether parties to foreign private arbitral proceedings could seek assistance from the U.S. courts for discovery pursuant to 28 U.S.C. §1782. The circuit courts have differed on the issue of whether a private arbitral proceeding may be considered a "proceeding in a foreign or international tribunal" in terms of the statute, which would ultimately allow or disallow judicial assistance in taking of evidence by the U.S. district courts for use in the requested proceedings. While the U.S. Supreme Court has addressed the applicability of §1782 in its Intel decision in 2004, it had not established a test as to what constitutes a foreign or international tribunal for the purposes of §1782, thereby leaving it open for lower courts to continue to interpret §1782 in their own ways, as requests for judicial assistance in taking of evidence are filed. In the recent decision of ZF Auto. US, Inc., v. Luxshare, Ltd., the Supreme Court has finally clarified that in order for an arbitral panel to be a "foreign or international tribunal" under §1782, such panels must exercise governmental authority conferred by one nation or multiple nations. Therefore, private commercial arbitral panels are not "foreign or international tribunal(s)" for the purposes of §1782 because they do not constitute governmental or intergovernmental adjudicative bodies. Such holding is necessary and legitimate for interested parties in international arbitration, as well as, potential parties of arbitration who are contemplating alternative dispute resolution for their dispute(s).

NDRG2 Promotes GATA-1 Expression through Regulation of the JAK2/STAT Pathway in PMA-stimulated U937 Cells

  • Kang, Kyeong-Ah;Jung, Hye-Youn;Nam, So-Rim;Lim, Jong-Seok
    • IMMUNE NETWORK
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    • v.11 no.6
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    • pp.348-357
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    • 2011
  • Background: N-myc downstream-regulated gene 2 (NDRG2), a member of a newly described family of differentiation-related genes, has been characterized as a regulator of dendritic cells. However, the role of NDRG2 on the expression and activation of transcription factors in blood cells remains poorly understood. In this study, we investigated the effects of NDRG2 overexpression on GATA-1 expression in PMAstimulated U937 cells. Methods: We generated NDRG2-overexpressing U937 cell line (U937-NDRG2) and treated the cells with PMA to investigate the role of NDRG2 on GATA-1 expression. Results: NDRG2 overexpression in U937 cells significantly induced GATA-1 expression in response to PMA stimulation. Interestingly, JAK2/STAT and BMP-4/Smad pathways associated with the induction of GATA-1 were activated in PMA-stimulated U937-NDRG2 cells. We found that the inhibition of JAK2 activation, but not of BMP-4/Smad signaling, can elicit a decrease of PMA-induced GATA-1 expression in U937-NDRG2 cells. Conclusion: The results reveal that NDRG2 promotes the expression of GATA-1 through activation of the JAK2/STAT pathway, but not through the regulation of the BMP-4/Smad pathway in U937 cells. Our findings further suggest that NDRG2 may play a role as a regulator of erythrocyte and megakaryocyte differentiation during hematopoiesis.

Test Case Generation for Conformance Test of DSM-CC U-U (DSM-CC U-U 적합성 시험을 위한 시험열 생성)

  • Kim, Young-Gyu;Lee, Ok-Bin;Kim, Hak-Suh;Kwon, Young-Duk;Lee, Sang-Ho
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2171-2178
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    • 1999
  • In these days, as rapid growth of multimedia industries and development of techniques, and effort to develop DAVIC(Digital Audio-Visual Council) systems which support multimedia services such as VOD(Video onn Demand) and teleshopping is being done. Therefore it will be indispendable to establish a new conformance testing method related DAVIC system with respect to their standard specification. DSM-CC is a core part of DAVIC and adopts DSM-CC U-N for S3 information stream which plays a part in connection establishment and release of session and transmission layer, and DSM-CC U-U for S2 which operates user application of the system. In this paper, we propose a new conformance testing architecture and methodology based on scenario in order to test DSM-CC U-U which doesn't have any message sequences.

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A study on a UT applied forecast prototype and policy for u-Gov's actional system to disaster (u-Gov의 재난 대응체계를 위해 UT를 응용한 예측 프로토타입과 정책적과제 연구)

  • Jeong, Young-Chul;Bae, Yong-Guen
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.10
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    • pp.173-182
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    • 2010
  • Recently, the society confronts unpredictable disasters and the aspects varies in diverse ways. As a pessimistic perception on the social safety starts emerging, the UT utilized actional system for disaster is viewed as a solution. Therefore, in this paper, I provided UT applied forecast prototype which is a portion of u-Gov's application services. Also, as one of UT applied policy subject, I distinguished and analyzed the differences between e-Gov and u-Gov and, finally, suggested u-Gov's reform in order to surpass e-Gov's limitation and amelioration for possible problems during prototype materialization.