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1.
In this paper, we study the Holder regularity of weak solutions to the Dirichlet problem associated with the regional fractional Laplacian (-△)αΩ on a bounded open set Ω ■R(N ≥ 2) with C(1,1) boundary ■Ω. We prove that when f ∈ Lp(Ω), and g ∈ C(Ω), the following problem (-△)αΩu = f in Ω, u = g on ■Ω, admits a unique weak solution u ∈ W(α,2)(Ω) ∩ C(Ω),where p >N/2-2α and 1/2< α < 1. To solve this problem, we consider it into two special cases, i.e.,g ≡ 0 on ■Ω and f ≡ 0 in Ω. Finally, taking into account the preceding two cases, the general conclusion is drawn. 相似文献
2.
提出了一类新的相对性区域创新指数,并采用世界专利申请数据对其进行了具体计算.基于区域创新同经济发展水平之间的超线性关系,该指数消除了经济发展水平对创新能力的影响,可以实现对不同发展水平的经济体之间进行有效的创新能力横纵对比.该创新指数尽管极其简单,却揭示出一系列迥异于传统认知的现象,例如中国大陆地区的技术创新能力在1980年代就已经位居世界前列.采用该指数,不但可以在较高水平上解释世界各国的经济增长,还发现它同经济增长率之间的相关性存在一个20年的经济周期.这些结果显示,该指数作为一个单一性指标,以极小的数据依赖就实现了较高程度的解释性,不但重新定位了世界各经济体的创新能力,对深入理解创新同经济发展之间的关系提供了新的角度,而且暗示着这类相对性经济指标的发展潜力与应用空间. 相似文献
3.
Nucleophilic and Electrophilic Activation of Non‐Heteroaromatic Amides in Atom‐Economical Asymmetric Catalysis 下载免费PDF全文
Dr. Naoya Kumagai Prof. Dr. Masakatsu Shibasaki 《Chemistry (Weinheim an der Bergstrasse, Germany)》2016,22(43):15192-15200
Recent advances in catalytic asymmetric carbon–carbon bond‐forming reactions of non‐heteroaromatic amide substrates are highlighted. Among carbonyl compounds, amides have received limited attention in catalytic asymmetric transformations mainly owing to their lower reactivity. Amides are reluctant to form enolates for nucleophilic addition, and α,β‐unsaturated amides exhibit diminished electrophilicity at the β‐carbon. Recent advances in asymmetric catalysis rendered these amides amenable to enantioselective reactions with perfect atom economy, producing synthetically useful chiral building blocks. This Minireview summarizes recent developments in the field. 相似文献
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Stereocontrolled Synthesis of Vinyl Boronates and Vinyl Silanes via Atom‐Economical Ruthenium‐Catalyzed Alkene–Alkyne Coupling 下载免费PDF全文
Prof. Dr. Barry M. Trost Dr. Dennis C. Koester Alastair N. Herron 《Angewandte Chemie (International ed. in English)》2015,54(52):15863-15866
The synthesis of vinyl boronates and vinyl silanes was achieved by employing a Ru‐catalyzed alkene–alkyne coupling reaction of allyl boronates or allyl silanes with various alkynes. The double bond geometry in the generated vinyl boronates can be remotely controlled by the juxtaposing boron‐ and silicon groups on the alkyne substrate. The synthetic utility of the coupling products has been demonstrated in a variety of synthetic transformations, including iterative cross‐coupling reactions, and a Chan‐Lam‐type allyloxylation followed by a Claisen rearrangement. A sequential one‐pot alkene‐alkyne‐coupling/allylation‐sequence with an aldehyde to deliver a highly complex α‐silyl‐β‐hydroxy olefin with a handle for further functionalization was also realized. 相似文献
6.
Atom-economic Approach to the Synthesis of α-(Hetero)aryl-substituted Furan Derivatives from Biomass
Leonid V. Romashov Kirill S. Kozlov Matvey K. Skorobogatko Alexander Y. Kostyukovich Valentine P. Ananikov 《化学:亚洲杂志》2022,17(1):e202101227
An atom-economic ring construction approach to the synthesis of α-(hetero)arylfurans based on renewable furanic platform chemicals has been developed. Corresponding compounds have been prepared in good to excellent yields via [2+2+2] and [4+2] cycloaddition reactions using metal-catalyzed or photoredox protocols. Easily available HMF-based 2-hydroxymethyl-5-ethynylfuran and 2-hydroxymethyl-5-cyanofuran were used as starting materials. A synthetic route with an improved carbon economy factor has been implemented to achieve sustainability aim. The possible application of arylfurans as molecular conductors has been investigated by DFT calculations, which revealed excellent charge transfer properties. As a future perspective, integration of biomass processing strategy into manufacturing of molecular electronics was pointed out to achieve the aim of sustainability. 相似文献
7.
Lignin, as an abundant natural polymer with interesting mechanical, antimicrobial, and antioxidant properties, has the possibility to produce numerous chemicals and biofuels of current interest. However, the structural recalcitrance, heterogeneity, and complex extraction methods of lignin can hinder its transformation into value-added materials. Therefore, the research community is exploring innovative bioconversion technologies capable of effectively valorizing lignin. Thus, effective bioconversion and deconstruction methods have been recently studied. In this review, we first define lignin as a versatile raw material considering its characteristics, properties, and abundance. Then, lignin valorization is described in terms of the current opportunities and technical challenges. Finally, we discuss the industrial potential of lignin-derived products such as biofuels, biopolymers, biopesticides, and fertilizers. Those lignin-derived products are highly valuable for the energy and food industries, which are two main sectors challenged by the rapid growth of population, urbanization, and consumption. Thus, progress on lignin valorization would represent significant advancements in the Sustainable Development Goals (SDGs) and circular economy aspects. 相似文献
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构建分散小农户合作化联合,碎片化消费者社群化聚合,消费者充分参与生产端消费体验并与生产者融合为Prosumer的互联网农业共享经济模型.研究表明,消费者社群化聚合,生产者合作化联合,消费者与生产者融合为生产消费者是互联网农业分享经济有效实现形式,可促进供应链信息对称,产销对接和交易成本降低,提升农产品质量安全水平和消费者对国内农产品质量安全的信心."土地托管","乡村货的"和"俺家特供"是当前我国农业分享经济在生产,流通和消费端出现的典型案例,它们的融合发展必将成为我国互联网农业分享经济发展的主要方向. 相似文献
10.
Sateesh Kumar Arepalli Byeongwoo Park Jae-Kyung Jung Kiho Lee Heesoon Lee 《Tetrahedron letters》2017,58(5):449-454
A novel series of functionalized 13H-benzo[f]chromeno[4,3-b][1,7]naphthyridines and 1,3-diphenylbenzo[f][1,7]naphthyridines have been synthesized by an efficient regioselective one-pot multicomponent synthesis through intra and intermolecular imino Diels-Alder reaction. In this method, we have achieved complete regioselectivity and atom economy with polysubstituted core motifs in moderate to good yields. The proposed mechanism of this reaction has also discussed. 相似文献