期刊:
Journal of Differential Equations,2015年259(4):1256-1274 ISSN:0022-0396
通讯作者:
Shuai, Wei
作者机构:
[Shuai, Wei; Shuai, W] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Shuai, Wei] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词:
Kirchhoff-type equations;Sign-changing solutions;Nonlocal term
摘要:
We are interested in the existence of least energy sign-changing solutions for a class of Kirchhoff-type problem in bounded domains. Because the so-called nonlocal term b(integral(Omega)vertical bar del u vertical bar(2)dx)Delta u is involving in the equation, the variational functional of the equation has totally different properties from the case of b = 0. Combining constraint variational method and quantitative deformation lemma, we prove that the problem possesses one least energy sign-changing solution u(b). Moreover, we show that the energy of u(b) is strictly larger than the ground state energy. Finally, we regard b as a parameter and give a convergence property of ub as b SE arrow 0. (C) 2015 Elsevier Inc. All rights reserved.
期刊:
CHEMICAL REVIEWS,2015年115(16):8896-8943 ISSN:0009-2665
通讯作者:
Lin, Yuehe
作者机构:
[Zhu, Chengzhou; Du, Dan; Lin, Yuehe] Washington State Univ, Sch Mech & Mat Engn, Pullman, WA 99164 USA.;[Du, Dan] Cent China Normal Univ, Coll Chem, Key Lab Pesticide & Chem Biol, Minist Educ, Wuhan 430079, Peoples R China.;[Eychmueller, Alexander] Tech Univ Dresden, Phys Chem, D-01062 Dresden, Germany.;[Lin, Yuehe] Pacific NW Natl Lab, Richland, WA 99352 USA.
通讯机构:
[Lin, Yuehe] W;Washington State Univ, Sch Mech & Mat Engn, Pullman, WA 99164 USA.
摘要:
The use of nanoparticles (NPs) as building blocks and their assembly into functional architectures is of special relevance for realistic development and represents a rapidly growing branch of research. These fascinating porous noble metal nanostructures (PNMNs) provide a wealth of opportunities in multidisciplinary environments for promoting the rapid development of different research fields. These 3D porous architectures are able to provide higher specific surface areas and larger pore volumes, not only maximizing the availability of electron transfer within nanosized electrocatalyst surface area but also providing better mass transport of reactants to the electrocatalyst. Yamauchi and co-workers recently demonstrated a new approach, electrochemical micelle assembly, for constructing mesoporous Pt-based films through potentiostatic deposition. In this procedure, surfactant micelles can be effectively formed when the surfactant concentration added is above the CMC. Metal-aqua complexes, derived from the coordination between metal precursors and water, can usually interact with ethylene oxide groups of the surfactant micelles. Therefore, due to these structural directing agents, well-defined mesoporous films can be directly obtained on electrode surface via electrochemical deposition. Few reports have demonstrated the production of well-designed PNMNs with building blocks that are rich in high-index facets. With respect to electrochemical applications, PNMNs with hierarchically porous nanostructures hold great promise.
作者机构:
[Zhu, Junjie; Yang, Guohai] Nanjing Univ, Sch Chem & Chem Engn, State Key Lab Analyt Chem Life Sci, Nanjing 210093, Jiangsu, Peoples R China.;[Zhu, Chengzhou; Du, Dan; Lin, Yuehe; Yang, Guohai] Washington State Univ, Sch Mech & Mat Engn, Pullman, WA 99164 USA.;[Du, Dan; Lin, Yuehe] Cent China Normal Univ, Key Lab Pesticides & Chem Biol, Minist Educ PR China, Wuhan 430079, Peoples R China.
通讯机构:
[Zhu, Junjie] N;Nanjing Univ, Sch Chem & Chem Engn, State Key Lab Analyt Chem Life Sci, Nanjing 210093, Jiangsu, Peoples R China.
摘要:
The development of nanotechnology provides promising opportunities for various important applications. The recent discovery of atomically-thick two-dimensional (2D) nanomaterials can offer manifold perspectives to construct versatile devices with high-performance to satisfy multiple requirements. Many studies directed at graphene have stimulated renewed interest on graphene-like 2D layered nanomaterials (GLNs). GLNs including boron nitride nanosheets, graphitic-carbon nitride nanosheets and transition metal dichalcogenides (e.g. MoS2 and WS2) have attracted significant interest in numerous research fields from physics and chemistry to biology and engineering, which has led to numerous interdisciplinary advances in nano science. Benefiting from the unique physical and chemical properties (e.g. strong mechanical strength, high surface area, unparalleled thermal conductivity, remarkable biocompatibility and ease of functionalization), these 2D layered nanomaterials have shown great potential in biochemistry and biomedicine. This review summarizes recent advances of GLNs in applications of biosensors and nanomedicine, including electrochemical biosensors, optical biosensors, bioimaging, drug delivery and cancer therapy. Current challenges and future perspectives in these rapidly developing areas are also outlined. It is expected that they will have great practical foundation in biomedical applications with future efforts.
作者机构:
[Peng, Shuangjie; Deng, Yinbin; Shuai, Wei] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
通讯机构:
[Peng, Shuangjie] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
关键词:
Kirchhoff-type equations;Nodal solutions;Nonlocal term
摘要:
In this paper, we study the existence and asymptotic behavior of nodal solutions to the following Kirchhoff problem -(a+b integral(3)(R)vertical bar del u vertical bar(2)dx)Delta u + v(vertical bar x vertical bar)u = f(vertical bar x vertical bar, u), in R-3 , u is an element of H-1(R-3), where V(x) is a smooth function, a, b are positive constants. Because the so-called nonlocal term (integral(3)(R)vertical bar del u vertical bar(2)dx)Delta u)Au is involved in the equation, the variational functional of the equation has totally different properties from the case of b = 0. Under suitable construction conditions, we prove that, for any positive integer k, the problem has a sign-changing solution u(k)(b), which changes signs exactly k times. Moreover, the energy of u(k)(b) is strictly increasing in k, and for any sequence {b(n)}-> 0(+) (n -> + infinity), there is a subsequence {b(ns)}, such that u(k)(bs) converges in H-1 (R-3) to wk as s -> infinity, where wk also changes signs exactly k times and solves the following equation -a Delta u +V (|x|), u) = f(|x|, u), in R-3, u is an element of H-1 (R-3). (C) 2015 Elsevier Inc. All rights reserved.
作者机构:
[Fohl, K.; Di Canto, A.; Popov, D.; Durante, P.; Matev, R.; Ferro-Luzzi, M.; Cardoso, L. A. Granado; Joram, C.; Campora Perez, D.; Tuning, N.; Altarelli, M. Pepe; Faerber, C.; Vidal, X. Cid; Baldini, W.; Barschel, C.; Karacson, M.; Charpentier, Ph.; Kenzie, M.; Marino, P.; Ruf, T.; Bettler, M-O.; He, J.; Poikela, T.; Forty, R.; Corti, G.; Schmidt, B.; Gaspar, C.; Carvalho Akiba, K.; Otto, A.; Stahl, S.; Linn, C.; Roiser, S.; Rauschmayr, N.; Barter, W.; Schopper, A.; Wyllie, K.; Van Herwijnen, E.; Langhans, B.; Mapelli, A.; Contu, A.; Lacarrere, D.; Couturier, B.; Leflat, A.; Cattaneo, M.; Archilli, F.; Jost, B.; Koppenburg, P.; Dettori, F.; Khanji, B.; Tonelli, D.; Rihl, M.; Lindner, R.; Dijkstra, H.; Schindler, H.; Haen, C.; Garcia, L. Castillo; Thomas, E.; Lohn, S.; Gallorini, S.; Golutvin, A.; Johnson, D.; Collins, P.; Jacobsson, R.; Neufeld, N.; Gligorov, V. V.; Schwemmer, R.; Buytaert, J.; Frei, C.; Aaij, R.; Mathe, Z.; D'Ambrosio, C.; Stagni, F.; Teubert, F.; Bondar, N.; Gys, T.; Sokoloff, M. D.; Wilkinson, G.; Closier, J.; Robbe, P.; Szczypka, P.; Frank, M.; Fiore, M.; Guz, Yu.; Panman, J.; Easo, S.; Karbach, T. M.; Clemencic, M.; Williams, M.; Schiller, M.; Benson, S.; Alessio, F.; Coco, V.; Sridharan, S.; Trisovic, A.] European Org Nucl Res CERN, Geneva, Switzerland.;[Gomes, A.; Bediaga, I.; Massafferri, A.; Rodrigues, A. B.; dos Reis, A. C.; De Miranda, J. M.; Rodrigues, B. Osorio; Ferreira Rodrigues, F.] CBPF, Rio De Janeiro, Brazil.;[Hicheur, A.; Otalora Goicochea, J. M.; Lopes, J. H.; Martins Tostes, D.; Molina Rodriguez, J.; Carvalho Akiba, K.; Polycarpo, E.; Potterat, C.; Goebel, C.; Souza De Paula, B.; Cruz Torres, M.; Baesso, C.; Francisco, O.; De Paula, L.; Nasteva, I.; Gandelman, M.; Amato, S.; Rangel, M. S.; Salustino Guimaraes, V.; Vieira, D.] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil.;[Gao, Y.; Yang, Z.; Yu, J.; Zhang, Y.; Zhong, L.; Jing, F.; An, L.; Xie, Y.; Zhang, L.; Liu, X.] Tsinghua Univ, Ctr High Energy Phys, Beijing 100084, Peoples R China.;[Minard, M-N.; Marchand, J. F.; Tisserand, V.; Decamp, D.; Ghez, Ph.; Qian, W.; Lees, J-P.; Beaucourt, L.; Tournefier, E.; Pietrzyk, B.; T'Jampens, S.; Deleage, N.] Univ Savoie Mont Blanc, CNRS, IN2P3, LAPP, Annecy Le Vieux, France.
通讯机构:
[Aaij, R.] E;European Org Nucl Res CERN, Geneva, Switzerland.
摘要:
The branching fraction ratio R(D-*) = B((B) over bar (0) -> D-*(+)tau(-)(nu) over bar (tau))/B((B) over bar (0) -> D-*(+)mu(-)(nu) over bar (mu)) is measured using a sample of proton-proton collision data corresponding to 3.0 fb(-1) of integrated luminosity recorded by the LHCb experiment during 2011 and 2012. The tau lepton is identified in the decay mode tau(-) -> mu(-)(nu) over bar (mu)nu(tau). The semitauonic decay is sensitive to contributions from non-standard-model particles that preferentially couple to the third generation of fermions, in particular, Higgs-like charged scalars. A multidimensional fit to kinematic distributions of the candidate (B) over bar (0) decays gives R(D-*) = 0.336 +/- 0.027(stat) +/- 0.030(syst). This result, which is the first measurement of this quantity at a hadron collider, is 2.1 standard deviations larger than the value expected from lepton universality in the standard model.
作者机构:
[Betzig, Eric; Chen, Bi-Chang; Li, Dong; Shao, Lin] Howard Hughes Med Inst, Ashburn, VA 20147 USA.;[Zhang, Mingshu; Zhang, Xi; Xu, Pingyong] Chinese Acad Sci, Key Lab RNA Biol, Beijing 100101, Peoples R China.;[Zhang, Mingshu; Zhang, Xi; Xu, Pingyong] Chinese Acad Sci, Beijing Key Lab Noncoding RNA, Inst Biophys, Beijing 100101, Peoples R China.;[Zhang, Xi] Cent China Normal Univ, Coll Life Sci, Wuhan 430079, Hubei, Peoples R China.;[Milkie, Daniel E.; Moses, Brian] Coleman Technol, Newtown Sq, PA 19073 USA.
通讯机构:
[Betzig, Eric] H;Howard Hughes Med Inst, Janelia Res Campus, Ashburn, VA 20147 USA.
摘要:
Super-resolution fluorescence microscopy is distinct among nanoscale imaging tools in its ability to image protein dynamics in living cells. Structured illumination microscopy (SIM) stands out in this regard because of its high speed and low illumination intensities, but typically offers only a twofold resolution gain. We extended the resolution of live-cell SIM through two approaches: ultrahigh numerical aperture SIM at 84-nanometer lateral resolution for more than 100 multicolor frames, and nonlinear SIM with patterned activation at 45- to 62-nanometer resolution for approximately 20 to 40 frames. We applied these approaches to image dynamics near the plasma membrane of spatially resolved assemblies of clathrin and caveolin, Rab5a in early endosomes, and α-actinin, often in relationship to cortical actin. In addition, we examined mitochondria, actin, and the Golgi apparatus dynamics in three dimensions.
期刊:
Calculus of Variations and Partial Differential Equations,2015年54(3):3067-3106 ISSN:0944-2669
通讯作者:
Li, Gongbao
作者机构:
[He, Yi; Li, Gongbao] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.;[He, Yi; Li, Gongbao] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构:
[Li, Gongbao] C;Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
关键词:
35J60;35J92;Primary 35J20
摘要:
We are concerned with the following Kirchhoff type equation with critical nonlinearity:
$$\begin{aligned} \left\{ \begin{array}{ll} - \Bigl ( {{\varepsilon ^2}a + \varepsilon b\int _{{\mathbb {R}^3}} {{{| {\nabla u} |}^2}} } \Bigr )\Delta u + V(x)u = \lambda {| u |^{p - 2}}u + {| u |^4}u{\text { in }}{\mathbb {R}^3}, \\ u > 0,u \in {H^1}({\mathbb {R}^3}), \\ \end{array} \right. \end{aligned}$$
where
$$\varepsilon $$
is a small positive parameter,
$$a,b>0$$
,
$$\lambda > 0$$
,
$$2 < p \le 4$$
. Under certain assumptions on the potential V, we construct a family of positive solutions
$${u_\varepsilon } \in {H^1}({\mathbb {R}^3})$$
which concentrates around a local minimum of V as
$$\varepsilon \rightarrow 0$$
. Although, critical growth Kirchhoff type problem
$$\begin{aligned} \left\{ \begin{array}{ll} - \Bigl ( {{\varepsilon ^2}a + \varepsilon b\int _{{\mathbb {R}^3}} {{{| {\nabla u} |}^2}} } \Bigr )\Delta u + V(x)u = f(u)+{u^5}{\text { in }}{\mathbb {R}^3}, \\ u > 0,u \in {H^1}({\mathbb {R}^3}) \\ \end{array} \right. \end{aligned}$$
has been studied in e.g. He et al. [18], where the assumption for f(u) is that
$$f(u) \sim |u{|^{p - 2}}u$$
with
$$4 < p < 6$$
and satisfies the Ambrosetti-Rabinowitz condition which forces the boundedness of any Palais-Smale sequence of the corresponding energy functional of the equation. As
$$g(u): = \lambda {| u |^{p - 2}}u + {| u |^4u}$$
with
$$2<p\le 4$$
does not satisfy the Ambrosetti-Rabinowitz condition (
$$\exists \mu > 4, 0 < \mu \int _0^u {g(s)ds \le g(u)u}$$
), the boundedness of Palais–Smale sequence becomes a major difficulty in proving the existence of a positive solution. Also, the fact that the function
$$g(s)/{s^3}$$
is not increasing for
$$s > 0$$
prevents us from using the Nehari manifold directly as usual. Our result extends the main result in He et al. [18] concerning the existence and concentration of positive solutions to the case where
$$f(u) \sim |u{|^{p - 2}}u$$
with
$$4 < p < 6$$
.
期刊:
CHEMICAL SOCIETY REVIEWS,2015年44(14):4619-4644 ISSN:0306-0012
通讯作者:
Yoon, Juyoung
作者机构:
[Yoon, Juyoung; Hu, Ying; Yin, Jun] Ewha Womans Univ, Dept Chem & Nano Sci, Global Top Res Program 5, Seoul 120750, South Korea.;[Yin, Jun] Cent China Normal Univ, Coll Chem, Key Lab Pesticide & Chem Biol, Minist Educ, Wuhan 430079, Peoples R China.
通讯机构:
[Yoon, Juyoung] E;Ewha Womans Univ, Dept Chem & Nano Sci, Global Top Res Program 5, Seoul 120750, South Korea.
期刊:
CHEMICAL REVIEWS,2015年115(11):5301-5365 ISSN:0009-2665
通讯作者:
Chen, Jia-Rong
作者机构:
[Lu, Liang-Qiu; Xiao, Wen-Jing; Chen, Jia-Rong; Hu, Xiao-Qiang] Cent China Normal Univ, Coll Chem, Key Lab Pesticide & Chem Biol, Minist Educ, Wuhan 430079, Hubei, Peoples R China.;[Chen, Jia-Rong] Cent China Normal Univ, Coll Chem, Key Lab Pesticide & Chem Biol, Minist Educ, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Chen, Jia-Rong] C;Cent China Normal Univ, Coll Chem, Key Lab Pesticide & Chem Biol, Minist Educ, 152 Luoyu Rd, Wuhan 430079, Hubei, Peoples R China.
摘要:
The development of new strategies and chemical reactions continues to be a major focus of research efforts in the modern synthetic organic community. Of the various types of reactions that have been discovered over the past 90 years, cyclization and cycloaddition reactions have been established as the most synthetically useful and theoretically and mechanistically investigated transformations. Carbon monoxide (CO) is an important type of C1 feedstock, and transition metal-catalyzed carbonylative cycloadditions have provided tremendous methods for an extensive variety of diversely functionalized carbocyclic and heterocyclic carbonyl compounds.
期刊:
Advances in Mathematics,2014年259:511-531 ISSN:0001-8708
通讯作者:
He, Xing-Gang
作者机构:
[Dai, Xin-Rong] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China.;[He, Xing-Gang] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.;[Lau, Ka-Sing] Chinese Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China.
通讯机构:
[He, Xing-Gang] C;Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词:
Bernoulli convolution;Fourier transform;Orthogonal;Self-similar;Spectral measure;Spectrum;Bi-zero set
摘要:
For 0 < rho < 1 and N > 1 an integer, let mu be the self-similar measure defined by mu(center dot) = Sigma(N-1)(i=0) 1/N mu(rho(-1)(center dot) - i). We prove that L-2(mu) has an exponential orthonormal basis if and only if rho = 1/q for some q > 0 and N divides q. The special case is the Cantor measure with rho = 1/2k and N = 2 [16], which was proved recently to be the only spectral measure among the Bernoulli convolutions with 0 < rho < 1 [4]. (C) 2014 Elsevier Inc. All rights reserved.
作者机构:
[McLerran, L.] Brookhaven Natl Lab, RIKEN, Upton, NY 11973 USA.;[McLerran, L.; Skokov, V.] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA.;[McLerran, L.] Cent China Normal Univ, Dept Phys, Wuhan, Peoples R China.
通讯机构:
[McLerran, L.] B;Brookhaven Natl Lab, RIKEN, Upton, NY 11973 USA.
关键词:
Chiral magnetic wave;Electromagnetic probes;Magnetic field
摘要:
In this article we discuss the properties of electromagnetic fields in heavy-ion collisions and consequences for observables. We address quantitatively the issue of the magnetic field lifetime in a collision including the electric and chiral magnetic conductivities. We show that for reasonable parameters, the magnetic field created by spectators in a collision is not modified by the presence of matter. (C) 2014 Elsevier B.V. All rights reserved.
作者:
Chen, C. L. Philip*;Li, Hong;Wei, Yantao;Xia, Tian;Tang, Yuan Yan
期刊:
IEEE Transactions on Geoscience and Remote Sensing,2014年52(1):574-581 ISSN:0196-2892
通讯作者:
Chen, C. L. Philip
作者机构:
[Chen, C. L. Philip] Univ Macau, Fac Sci & Technol, Dept Comp & Informat Sci, Macau, Peoples R China.;[Xia, Tian; Tang, Yuan Yan] Univ Macau, Fac Sci & Technol, Macau, Peoples R China.;[Li, Hong] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China.;[Wei, Yantao] Cent China Normal Univ, Coll Informat Technol Journalism & Commun, Wuhan 430079, Peoples R China.;[Wei, Yantao] Huazhong Univ Sci & Technol, Inst Pattern Recognit & Artificial Intelligence, Wuhan 430074, Peoples R China.
通讯机构:
[Chen, C. L. Philip] U;Univ Macau, Fac Sci & Technol, Dept Comp & Informat Sci, Macau, Peoples R China.
关键词:
Derived kernel (DK);Infrared (IR) image;Local contrast;Signal-to-noise ratio (SNR);Target detection
摘要:
Robust small target detection of low signal-to-noise ratio (SNR) is very important in infrared search and track applications for self-defense or attacks. Consequently, an effective small target detection algorithm inspired by the contrast mechanism of human vision system and derived kernel model is presented in this paper. At the first stage, the local contrast map of the input image is obtained using the proposed local contrast measure which measures the dissimilarity between the current location and its neighborhoods. In this way, target signal enhancement and background clutter suppression are achieved simultaneously. At the second stage, an adaptive threshold is adopted to segment the target. The experiments on two sequences have validated the detection capability of the proposed target detection method. Experimental evaluation results show that our method is simple and effective with respect to detection accuracy. In particular, the proposed method can improve the SNR of the image significantly.