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Communications in Number Theory and Physics, ISSN 1931-4523, 2012, Volume 6, Issue 4, pp. 785 - 803
Journal Article
中华活页文选:小学版, ISSN 1009-7252, 2009, Issue 2, pp. 51 - 54
在伦敦儿童医院这间小小的病室里,住着我的儿子艾德里安和其他七个孩子。艾德里安最小,只有4岁,最大的是12岁的弗雷迪,其次是卡罗琳、伊丽莎白、约瑟夫、赫米尔、米丽雅姆和莎丽。 
为我唱首歌吧 | 课外阅读 | 小学 | 艾德里安
Journal Article
小星星:作文100分小学版, ISSN 1006-8392, 2009, Issue 10, pp. 4 - 7
在伦敦儿童医院这间小小的病室里,住着我的儿子艾德里安和其他七个孩子。艾德里安最小,只有四岁,最大的是十二岁的弗雷迪,其次是卡罗琳、伊丽莎白、约瑟夫、赫米尔、米丽雅姆和莎丽。 
伊丽莎白 | 罗琳 | 约瑟夫
Journal Article
Annals of Mathematics, ISSN 0003-486X, 9/2010, Volume 172, Issue 2, pp. 911 - 954
We show that the Green functions on flat tori can have either three or five critical points only. There does not seem to be any direct method to attack this... 
Local minimum | Partial differential equations | Critical points | Saddle points | Uniqueness | Meromorphic functions | Mathematical inequalities | Elliptic functions | Greens function | MATHEMATICS | RIEMANN SURFACES
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 06/2015, Volume 68, Issue 6, pp. 887 - 947
We consider the following mean field equation: Δgv+ρ(h*ev∫Mh*ev−1)=4π∑j=1Nαj(δqj−1) on M, where M is a compact Riemann surface with volume 1, h* is a positive... 
MATHEMATICS | STATIONARY FLOWS | MATHEMATICS, APPLIED | 2-DIMENSIONAL EULER EQUATIONS | TOTAL CURVATURE | CHERN-SIMONS THEORY | RIEMANN SURFACES | BLOW-UP SOLUTIONS | CONFORMAL METRICS | STATISTICAL-MECHANICS DESCRIPTION | ELECTROWEAK THEORY | CONDENSATE SOLUTION
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 07/2019, Volume 277, Issue 2, pp. 522 - 557
The seminal work [7] by Brezis and Merle showed that the bubbling solutions of the mean field equation have the property of mass concentration. Recently, Lin... 
Mean field equation | Collapse of singularities | Bubbling solutions | Uniqueness | EXISTENCE | LIMITS | BEHAVIOR | LIOUVILLE-TYPE EQUATIONS | MEAN-FIELD EQUATIONS | MATHEMATICS | TODA SYSTEM | CURVATURE | BLOW-UP SOLUTIONS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 01/2016, Volume 270, Issue 1, pp. 1 - 33
We are concerned with SU(3) Chern–Simons model in R2. Nontopological solutions were shown to exist in [10] in a radially symmetric situation. Also in [10],... 
SU Chern–Simons | Bubbling solution | SU Chern-Simons
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 07/2013, Volume 66, Issue 7, pp. 991 - 1027
We consider the following nonlinear system derived from the SU(3) Chern‐Simons models on a torus Ω: $$(0.1)\,\,\,\left\{ \matrix{ \Delta u_1 - {1 \over... 
EXISTENCE | MATHEMATICS | NONTOPOLOGICAL MULTIVORTEX SOLUTIONS | MATHEMATICS, APPLIED | EQUATIONS | SYSTEMS | HIGGS THEORY
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 2016, Volume 2016, Issue 16, pp. 5076 - 5105
Journal Article
Scientific Reports, ISSN 2045-2322, 12/2017, Volume 7, Issue 1, pp. 17024 - 15
Cdc7-Dbf4 kinase plays a key role in the initiation of DNA replication and contributes to the replication stress in cancer. The activity of human Cdc7-Dbf4... 
KINASE-ACTIVITY | CELLS | REPAIR | INITIATION | DNA-DAMAGE RESPONSE | MULTIDISCIPLINARY SCIENCES | RESISTANCE | CDC7 | GENOME STABILITY | S-PHASE CHECKPOINT | ATR | DNA biosynthesis | Hsp90 protein | Phosphorylation | CHK1 protein | Homologous recombination | Replication initiation | DNA repair | Deoxyribonucleic acid--DNA | Cancer
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2019, Volume 266, Issue 1, pp. 716 - 741
The aim of this paper is to complete the program initiated in [51], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of... 
Non-degeneracy | Uniqueness results | Singular mean field equations | Alexandrov–Bol inequality | Singular Liouville-type equations | EXISTENCE | STATISTICAL-MECHANICS | LIOUVILLE TYPE EQUATIONS | BEHAVIOR | INEQUALITY | MATHEMATICS | BLOW-UP ANALYSIS | SYMMETRY | Alexandrov-Bol inequality | CURVATURE | MULTIVORTICES | SURFACES | Mathematics - Analysis of PDEs
Journal Article
Advances in Mathematics, ISSN 0001-8708, 11/2015, Volume 285, pp. 1189 - 1224
It is well known that the study of SU(n+ 1) Toda systems is important not only to Chern-Simons models in Physics, but also to the understanding of holomorphic... 
Blowup solutions | A priori estimate | SU(n)-Toda system | Asymptotic analysis | Classification theorem | Topological degree
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 09/2017, Volume 273, Issue 5, pp. 1734 - 1761
We consider the self-dual equations arising from the Chern–Simons gauge theory of rank 2 such as the SU(3), SO(5), and G2 Chern–Simons model in R2. There are... 
Partially blowing up solutions | Mixed type solutions | Non-Abelian Chern–Simons models
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 10/2012, Volume 190, Issue 1, pp. 169 - 207
We consider the following Toda system where γ i >−1, δ 0 is Dirac measure at 0, and the coefficients a ij form the standard tri-diagonal Cartan matrix. In this... 
Mathematics, general | Mathematics | EXISTENCE | MATHEMATICS | BEHAVIOR | R-2 | RIEMANN SURFACES | MEAN-FIELD EQUATIONS | ANALYTIC ASPECTS | BLOW | Analysis of PDEs
Journal Article
Scientific Reports, ISSN 2045-2322, 02/2014, Volume 4, Issue 1, p. 4162
We report multi-component high-entropy materials as extraordinarily robust diffusion barriers and clarify the highly suppressed interdiffusion kinetics in the... 
THIN-FILMS | PHASE-FORMATION | AMORPHOUS INTERLAYERS | MULTIDISCIPLINARY SCIENCES | DIFFUSION BARRIER | PRINCIPAL ELEMENTS | ATOMIC LAYER DEPOSITION | CU METALLIZATION | MULTIPRINCIPAL ELEMENTS | ALLOY SYSTEM | Entropy | Kinetics | Packing | Diffusion | Temperature effects
Journal Article
by Choe, K and Kim, N and Lin, CS
COMMUNICATIONS IN MATHEMATICAL PHYSICS, ISSN 0010-3616, 09/2019, Volume 370, Issue 3, pp. 995 - 1017
We are concerned with Chern-Simons gauge theories of rank 2 in R2 such as SU(3), SO(5), and G2 Chern-Simons theory. One can reduce the self-dual equations of... 
PHYSICS, MATHEMATICAL | MULTIVORTEX SOLUTIONS | NONTOPOLOGICAL SOLUTIONS
Journal Article
by Ehret, Georg B and Ferreira, Teresa and Chasman, Daniel I and Jackson, Anne U and Schmidt, Ellen M and Johnson, Toby and Thorleifsson, Gudmar and Luan, Jian'an and Donnelly, Louise A and Kanoni, Stavroula and Petersen, Ann-Kristin and Pihur, Vasyl and Strawbridge, Rona J and Shungin, Dmitry and Hughes, Maria F and Meirelles, Osorio and Kaakinen, Marika and Bouatia-Naji, Nabila and Kristiansson, Kati and Shah, Sonia and Kleber, Marcus E and Guo, Xiuqing and Lyytikäinen, Leo-Pekka and Fava, Cristiano and Eriksson, Niclas and Nolte, Ilja M and Magnusson, Patrik K and Salfati, Elias L and Rallidis, Loukianos S and Theusch, Elizabeth and Smith, Anew J. P and Folkersen, Lasse and Witkowska, Kate and Pers, Tune H and Joehanes, Roby and Kim, Stuart K and Lataniotis, Lazaros and Jansen, Rick and Johnson, Anew D and Warren, Helen and Kim, Young Jin and Zhao, Wei and Wu, Ying and Tayo, Bamidele O and Bochud, Murielle and Absher, Devin and Adair, Linda S and Amin, Najaf and Arking, Dan E and Axelsson, Tomas and Baldassarre, Damiano and Balkau, Beverley and Bandinelli, Stefania and Barnes, Michael R and Barroso, Inês and Bevan, Stephen and Bis, Joshua C and Bjornsdottir, Gyda and Boehnke, Michael and Boerwinkle, Eric and Bonnycastle, Lori L and Boomsma, Dorret I and Bornstein, Stefan R and Brown, Morris J and Burnier, Michel and Cabrera, Claudia P and Chambers, John C and Chang, I.-Shou and Cheng, Ching-Yu and Chines, Peter S and Chung, Ren-Hua and Collins, Francis S and Connell, John M and Döring, Angela and Dallongeville, Jean and Danesh, John and de Faire, Ulf and Delgado, Graciela and Dominiczak, Anna F and Doney, Alex S. F and nos, Fotios and Edkins, Sarah and Eicher, John D and Elosua, Roberto and Enroth, Stefan and Erdmann, Jeanette and Eriksson, Per and Esko, Tonu and Evangelou, Evangelos and Evans, Alun and Fall, Tove and Farrall, Martin and Felix, Janine F and Ferrières, Jean and Ferrucci, Luigi and Fornage, Myriam and Forrester, Terrence and Franceschini, Nora and Franco, Oscar H and Franco-Cereceda, Anders and ... and CHARGE-HF Consortium and Wellcome Trust Case Control Consor and CHARGE-EchoGen Consortium and Wellcome Trust Case Control Consortium and Medicinska fakulteten and Avdelningen för medicin and Umeå universitet and Medicin and Institutionen för odontologi and Institutionen för folkhälsa och klinisk medicin and Enheten för biobanksforskning and Näringsforskning
Nature genetics, ISSN 1061-4036, 2016, Volume 48, Issue 10, pp. 1171 - 1184
To dissect the genetic architecture of blood pressure and assess effects on target organ damage, we analyzed 128,272 SNPs from targeted and genome-wide arrays... 
COMMON VARIANTS | METAANALYSIS | SUSCEPTIBILITY | GENETICS & HEREDITY | LOCI | TRAITS | HYPERTENSION | GENOME-WIDE ASSOCIATION | Studies | Consortia | Hypotheses | Genealogy | Genetics | Blood pressure | Genomes | Meta-analysis | Basic Medicine | Medical Genetics | Medicinsk genetik | Medical and Health Sciences | Medicin och hälsovetenskap | Medicinska och farmaceutiska grundvetenskaper
Journal Article
Science China Mathematics, ISSN 1674-7283, 11/2019, Volume 62, Issue 11, pp. 2089 - 2102
We prove that some holomorphic functions on the moduli space of tori have only simple zeros. Instead of computing the derivative with respect to the moduli... 
simple zero property | Painlevé VI equation | 34M35 | Mathematics | Applications of Mathematics | 34M55 | Green function
Journal Article
Mathematische Annalen, ISSN 0025-5831, 6/2014, Volume 359, Issue 1, pp. 1 - 44
We consider the mean field equation: 1 $$\begin{aligned} \left\{ \begin{array}{l@{\quad }l} \varDelta u+\rho \frac{e^u}{\int _\varOmega e^u }=0 &{} \hbox {in}... 
35J65 | 49J99 | 35Q35 | 35J91 | 35A23 | Mathematics, general | Mathematics | 35B30 | 35J99 | MATHEMATICS | NONTOPOLOGICAL MULTIVORTEX SOLUTIONS | STATISTICAL-MECHANICS | SINGULAR DATA | EXPONENTIAL NONLINEARITY | INEQUALITY | CURVATURE | CHERN-SIMONS THEORY | RIEMANN SURFACES | CONFORMAL METRICS | VORTEX | Turbulence | Analysis
Journal Article