Edit Profile (opens in new tab) Lin, Chang-Shou Co-Author Distance Author ID: lin.chang-shou Published as: Lin, Chang-Shou; Lin, Changshou; Lin, C. S.; Lin, C.-S.; Lin, Chang-shou; Lin, Chang Shou more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 228 Publications since 1981, including 1 Book and 10 Additional arXiv Preprints 9 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 100 Co-Authors with 211 Joint Publications 2,843 Co-Co-Authors all top 5 Co-Authors 22 single-authored 33 Chen, Zhijie 23 Chen, Chiun-Chuan 22 Wei, Juncheng 16 Kuo, Ting-Jung 12 Lee, Youngae 11 Zhang, Lei 9 Bartolucci, Daniele 9 Choe, Kwangseok 9 Yan, Shusen 7 Wang, Chin-Lung 7 Yang, Wen 6 Cheng, Kuo-Shung 6 Guest, Martin A. 6 Kim, Namkwon 6 Tarantello, Gabriella 6 Wang, Guofang 6 Yang, Yisong 5 Chern, Jann-Long 5 Guan, Pengfei 5 Huang, Hsin-Yuan 4 Han, Jongmin 4 Han, Xiaosen 4 Hsia, Chun-Hsiung 4 Its, Alexander Rudolfovich 4 Yang, Lo 4 Yang, Yifan 4 Zou, Wenming 3 Ao, Weiwei 3 Han, Qing 3 Hong, Jiaxing 3 Jevnikar, Aleks Yang Wen 3 Lin, Taichia 3 Ni, Wei-Ming 3 Nie, Zhaohu 3 Prajapat, Jyotshana V. 3 Wadade, Hidemitsu 3 Yau, Shing-Tung 2 Chang, Sun-Yung Alice 2 Chen, Goong 2 Chen, Zhiyou 2 Chipot, Michel 2 Ding, Zhonghai 2 Fu, Erjuan 2 Guo, Jiawei 2 Guo, Jong-Shenq 2 Huang, Genggeng 2 Lin, Songsun 2 Lucia, Marcello 2 Ma, Xi-Nan 2 Shimojō, Masahiko 2 Takagi, Izumi 2 Takemura, Kouichi 2 Tang, Yong-Li 2 Wang, Liping 2 Wang, Zhi-Qiang 2 Zhao, Chunyi 1 Chai, Chingli 1 Chan, Hsungrow 1 Chang, Shu-Cheng 1 Chang, Shu-Ming 1 Choe, Hi Jun 1 Chou, Kai-Seng 1 Chow, Bennett 1 Chu, Sunchin 1 Cosentino, Paolo 1 Deng, Yinbin 1 Deokar, Rohit R. 1 Fan, Yen-Wen 1 Fu, Chun-Chieh 1 Ge, Yuxin 1 Ghoussoub, Nassif A. 1 Grossi, Massimo 1 Gui, Changfeng 1 Guo, Yujin 1 Herschbach, Dudley 1 Hyder, Ali 1 Jin, Jiaming 1 Jost, Jürgen 1 Karmakar, Debabrata 1 Lau, Kasing 1 Lee, Yng-Ing 1 Li, YanYan 1 Lin, Wen-Wei 1 Liu, Senli 1 Ma, Tian 1 Nirenberg, Louis 1 Onodera, Michiaki 1 Peng, Shuangjie 1 Ponce, Augusto C. 1 Poon, Yat Sun 1 Prashanth, S. 1 Scully, Marlan Orvil 1 Shi, Junping 1 Shimada, Masao 1 Suzuki, Takashi 1 Szidarovszky, Ferenc P. 1 Tamma, Kumar K. 1 Tsai, Dong-Ho 1 Tsui, Mao-Pei 1 Wang, Shouhong ...and 6 more Co-Authors all top 5 Serials 16 Communications in Mathematical Physics 16 Journal of Differential Equations 14 Journal of Functional Analysis 12 Communications on Pure and Applied Mathematics 11 Journal of Differential Geometry 9 Communications in Partial Differential Equations 7 Calculus of Variations and Partial Differential Equations 6 Mathematische Annalen 6 Proceedings of the American Mathematical Society 6 Communications in Analysis and Geometry 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 IMRN. International Mathematics Research Notices 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Archive for Rational Mechanics and Analysis 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Discrete and Continuous Dynamical Systems 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Indiana University Mathematics Journal 3 Advanced Lectures in Mathematics (ALM) 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Transactions of the American Mathematical Society 2 Advances in Differential Equations 2 Pure and Applied Mathematics Quarterly 2 New Studies in Advanced Mathematics 2 Analysis & PDE 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Analysis and Applications 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Kodai Mathematical Journal 1 Le Matematiche 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Dynamic Systems and Applications 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Chemistry 1 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Contemporary Mathematics 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Communications in Number Theory and Physics 1 RIMS Kôkyûroku Bessatsu 1 Science China. Mathematics 1 Cambridge Journal of Mathematics 1 ICCM Notices 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings A. Royal Society of London all top 5 Fields 181 Partial differential equations (35-XX) 47 Global analysis, analysis on manifolds (58-XX) 35 Differential geometry (53-XX) 33 Quantum theory (81-XX) 20 Ordinary differential equations (34-XX) 13 Special functions (33-XX) 12 Functions of a complex variable (30-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 6 Algebraic geometry (14-XX) 5 Nonassociative rings and algebras (17-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Topological groups, Lie groups (22-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 201 Publications have been cited 4,542 times in 2,245 Documents Cited by ▼ Year ▼ Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030 Lin, C.-S.; Ni, W.-M.; Takagi, I. 435 1988 A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\). Zbl 0933.35057 Lin, Chang-Shou 271 1998 Topological degree for a mean field equation on Riemann surfaces. Zbl 1032.58010 Chen, Chiun-Chuan; Lin, Chang-Shou 179 2003 Sharp estimates for solutions of multi-bubbles in compact Riemann surfaces. Zbl 1040.53046 Chen, Chiun-Chuan; Lin, Chang-Shou 162 2002 Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates. Zbl 1098.82602 Chang, Shu-Ming; Lin, Chang-Shou; Lin, Tai-Chia; Lin, Wen-Wei 111 2004 Non-topological multi-vortex solutions to the self-dual Chern-Simons-Higgs equation. Zbl 1018.58008 Chan, Hsungrow; Fu, Chun-Chieh; Lin, Chang-Shou 97 2002 Profile of blow-up solutions to mean field equations with singular data. Zbl 1062.35146 Bartolucci, Daniele; Chen, Chiun-Chuan; Lin, Chang-Shou; Tarantello, Gabriella 90 2004 Elliptic functions, Green functions and the mean field equations on tori. Zbl 1207.35011 Lin, Chang-Shou; Wang, Chin-Lung 86 2010 On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity. Zbl 1328.53045 Deng, Yinbin; Lin, Chang-Shou; Yan, Shusen 77 2015 Uniqueness of the ground state solutions of \(\Delta{} u+f(u)=0\) in \(R^ n,n\geq{} 3\). Zbl 0753.35034 Chen, Chiun-Chuan; Lin, Chang-Shou 74 1991 Estimates of the conformal scalar curvature equation via the method of moving planes. Zbl 0958.35013 Chen, Chiun-Chuan; Lin, Chang-Shou 72 1997 Analytic aspects of the Toda system. II: Bubbling behavior and existence of solutions. Zbl 1207.35140 Jost, Jürgen; Lin, Changshou; Wang, Guofang 68 2006 Interpolation inequalities with weights. Zbl 0635.46032 Lin, Chang-Shou 66 1986 Estimate of the conformal scalar curvature equation via the method of moving planes. II. Zbl 0961.35047 Chen, Chiun-Chuan; Lin, Chang-Shou 65 1998 Mean field equation of Liouville type with singular data: topological degree. Zbl 1319.35283 Chen, Chiun-Chuan; Lin, Chang-Shou 60 2015 Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources. Zbl 1258.35089 Lin, Chang-Shou; Wei, Juncheng; Ye, Dong 56 2012 Prescribing scalar curvature on \(S^ N\). I: A priori estimates. Zbl 1043.53028 Chen, Chiun-Chuan; Lin, Chang-Shou 50 2001 Mean field equations of Liouville type with singular data: sharper estimates. Zbl 1211.35263 Chen, Chiun-Chuan; Lin, Chang-Shou 49 2010 Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary. Zbl 1197.35091 Chern, Jann-Long; Lin, Chang-Shou 47 2010 Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent. Zbl 0839.35014 Chen, Chiun-Chuan; Lin, Chang-Shou 46 1995 Mean field equations, hyperelliptic curves and modular forms. I. Zbl 1327.35116 Chai, Ching-Li; Lin, Chang-Shou; Wang, Chin-Lung 45 2015 Bubbling solutions for relativistic Abelian Chern-Simons model on a torus. Zbl 1195.35150 Lin, Chang-Shou; Yan, Shusen 45 2010 Uniqueness of solutions to the mean field equations for the spherical Onsager vortex. Zbl 0968.35045 Lin, Chang-Shou 44 2000 Existence of bubbling solutions for Chern-Simons model on a torus. Zbl 1260.35155 Lin, Chang-Shou; Yan, Shusen 44 2013 Topological degree for mean field equations on \(S^2\). Zbl 0964.35038 Lin, Chang-Shou 43 2000 Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\). Zbl 0807.35043 Lin, Chang-Shou 43 1994 The local isometric embedding in \(R^ 3\) of two-dimensional Riemannian manifolds with Gaussian curvature changing sign cleanly. Zbl 0612.53013 Lin, Changshou 38 1986 A system of elliptic equations arising in Chern-Simons field theory. Zbl 1206.35096 Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong 38 2007 Extremal functions for a mean field equation in two dimension. Zbl 1071.35040 Chang, Sun-Yung A.; Chen, Chiun-Chuan; Lin, Chang-Shou 37 2003 Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter. Zbl 1300.35058 Bartolucci, Daniele; Lin, Chang-Shou 35 2014 A counterexample to the nodal domain conjecture and a related semilinear equation. Zbl 0652.35085 Lin, Chang-Shou; Ni, Wei-Ming 34 1988 Existence of self-dual non-topological solutions in the Chern-Simons Higgs model. Zbl 1232.81031 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 34 2011 The existence of convex body with prescribed curvature measures. Zbl 1178.53010 Guan, Pengfei; Lin, Changshou; Ma, Xi-Nan 34 2009 Local uniqueness and refined spike profiles of ground states for two-dimensional attractive Bose-Einstein condensates. Zbl 1380.35093 Guo, Yujin; Lin, Changshou; Wei, Juncheng 33 2017 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038 Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 33 2015 Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1036.35028 Lin, Chang-Shou; Wang, Zhi-Qiang 33 2004 Profile of bubbling solutions to a Liouville system. Zbl 1182.35107 Lin, Chang-Shou; Zhang, Lei 32 2010 Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two Higgs particles. Zbl 1192.35175 Chern, Jann-Long; Chen, Zhi-You; Lin, Chang-Shou 32 2010 Revisiting an idea of Brézis and Nirenberg. Zbl 1198.35098 Hsia, Chun-Hsiung; Lin, Chang-Shou; Wadade, Hidemitsu 32 2010 A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123 Li, YanYan; Lin, Chang-Shou 31 2012 Concentration phenomena of two-vortex solutions in a Chern-Simons model. Zbl 1170.35413 Lin, Chang-Shou; Chen, Chiun-Chuan; Wang, Guofang 30 2004 Sign-changing solutions and phase separation for an elliptic system with critical exponent. Zbl 1308.35084 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 29 2014 Bubbling solutions for the \(SU(3)\) Chern-Simons model on a torus. Zbl 1272.58019 Lin, Chang-Shou; Yan, Shusen 29 2013 On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\). Zbl 0871.35014 Cheng, Kuo-Shung; Lin, Chang-Shou 29 1997 A topological degree counting for some Liouville systems of mean field type. Zbl 1214.58008 Lin, Chang-Shou; Zhang, Lei 29 2011 On the asymptotic symmetry of singular solutions of the scalar curvature equations. Zbl 0927.35034 Chen, Chiun-Chuan; Lin, Chang-Shou 27 1999 Locating the peaks of solutions via the maximum principle. I: The Neumann problem. Zbl 1035.35039 Lin, Chang-Shou 27 2001 An expository survey on the recent development of mean field equations. Zbl 1159.35025 Lin, Chang-Shou 27 2007 Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations. Zbl 0958.35050 Chen, Chiun-Chuan; Lin, Chang-Shou 26 1999 Blowing up with infinite energy of conformal metrics on \(S^n\). Zbl 0953.58023 Chen, Chiun-Chuan; Lin, Chang-Shou 25 1999 Vortex condensates for relativistic Abelian Chern-Simons model with two Higgs scalar fields and two gauge fields on a torus. Zbl 1173.58302 Lin, Chang-Shou; Prajapat, Jyotshana V. 25 2009 Estimates for boundary-bubbling solutions to an elliptic Neumann problem. Zbl 1136.35380 Gui, Changfeng; Lin, Chang-Shou 24 2002 Uniqueness results for mean field equations with singular data. Zbl 1185.35288 Bartolucci, D.; Lin, C. S. 24 2009 The Christoffel-Minkowski problem. II: Weingarten curvature equations. Zbl 1151.35349 Guan, Pengfei; Lin, Changshou; Ma, Xinan 23 2006 The local isometric embedding in \(R^ 3\) of 2-dimensional Riemannian manifolds with nonnegative curvature. Zbl 0584.53002 Lin, Chang-Shou 22 1985 The symmetry of least-energy solutions for semilinear elliptic equations. Zbl 1247.35038 Chern, Jann-Long; Lin, Chang-Shou 21 2003 On Liouville theorem and a priori estimates for the scalar curvature equations. Zbl 0974.53032 Lin, Chang-Shou 20 1998 Estimates of the scalar curvature equation via the method of moving planes. III. Zbl 1035.53052 Lin, Chang-Shou 20 2000 Chern-Simons vortices in the Gudnason model. Zbl 1296.35153 Han, Xiaosen; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 20 2014 Uniqueness of solutions for a mean field equation on torus. Zbl 1105.58005 Lin, Chang-Shou; Lucia, Marcello 20 2006 Schouten tensor and some topological properties. Zbl 1110.53025 Guan, Pengfei; Lin, Changshou; Wang, Guofang 20 2005 Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system. Zbl 1271.30017 Lin, Chang-Shou; Wei, Juncheng; Zhao, Chunyi 20 2012 On the entire radial solutions of the Chern-Simons SU(3) system. Zbl 1295.82034 Huang, Hsin-Yuan; Lin, Chang-Shou 19 2014 Positive radial solutions for \(\Delta u+K(r)u^{(n+2)/(n-2)}=0\) in \({\mathbb{R}}^ n\) and related topics. Zbl 0687.35034 Lin, Changshou; Lin, Songsun 19 1990 A sharp sup+inf inequality for a nonlinear elliptic equation in \(\mathbb{R}^2\). Zbl 0903.35009 Chen, Chiun-Chuan; Lin, Chang-Shou 19 1998 Uniqueness and symmetry results for solutions of a mean field equation on \(\mathbb S^{2}\) via a new bubbling phenomenon. Zbl 1250.58009 Bartolucci, Daniele; Lin, Chang-Shou; Tarantello, Gabriella 19 2011 Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations. Zbl 1281.35073 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 19 2013 Non-abelian multiple vortices in supersymmetric field theory. Zbl 1216.81128 Lin, Chang-Shou; Yang, Yisong 19 2011 Locating the peaks of solutions via the maximum principle. II: A local version of the method of moving planes. Zbl 1121.35310 Lin, Chang-Shou; Wei, Juncheng 19 2003 Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged \(O(3)\) sigma models. Zbl 1287.81079 Choe, Kwangseok; Han, Jongmin; Lin, Chang-Shou; Lin, Tai-Chia 18 2013 Monotonicity and nonexistence results to cooperative systems in the half space. Zbl 1287.35017 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 18 2014 Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system. Zbl 1343.35101 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 18 2016 On rank-2 Toda systems with arbitrary singularities: local mass and new estimates. Zbl 1383.35078 Lin, Chang-Shou; Wei, Jun-cheng; Yang, Wen; Zhang, Lei 17 2018 Degree counting and shadow system for Toda system of rank two: one bubbling. Zbl 1394.35166 Lee, Youngae; Lin, Chang-Shou; Wei, Juncheng; Yang, Wen 17 2018 Green function, Painlevé VI equation, and Eisenstein series of weight one. Zbl 1390.34242 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou; Wang, Chin-Lung 17 2018 Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\). Zbl 1308.81177 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 17 2015 On the diffusion coefficient of a semilinear Neumann problem. Zbl 0704.35050 Lin, Chang-Shou; Ni, Wei-Ming 17 1988 Segregated vector solutions for linearly coupled nonlinear Schrödinger systems. Zbl 1304.35648 Lin, Chang-Shou; Peng, Shuangjie 17 2014 On Liouville systems at critical parameters. I: One bubble. Zbl 1278.35255 Lin, Chang-shou; Zhang, Lei 17 2013 Sharp existence and uniqueness theorems for non-Abelian multiple vortex solutions. Zbl 1208.81146 Lin, Chang-Shou; Yang, Yisong 17 2011 Blow-up behavior for a parabolic equation with spatially dependent coefficient. Zbl 1218.35047 Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 17 2010 Explicit construction of extremal Hermitian metrics with finite conical singularities on \(S^2\). Zbl 1021.58008 Lin, Chang Shou; Zhu, Xiaohua 16 2002 Removable singularity of positive solutions for a critical elliptic system with isolated singularity. Zbl 1337.35046 Chen, Zhijie; Lin, Chang-Shou 15 2015 Estimates of the mean field equations with integer singular sources: non-simple blowup. Zbl 1358.35060 Kuo, Ting-Jung; Lin, Chang-Shou 15 2016 Application of the method of moving planes to conformally invariant equations. Zbl 1068.53023 Guan, Pengfei; Lin, Chang-Shou; Wang, Guofang 15 2004 Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary. Zbl 1252.35146 Lin, Chang-Shou; Wadade, Hidemitsu 15 2012 Sharp estimates for bubbling solutions of a fourth order mean field equation. Zbl 1185.35067 Lin, Chang-Shou; Wei, Juncheng 15 2007 Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029 Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 15 2013 When “blow-up” does not imply “concentration”: a detour from Brézis-Merle’s result. (Lorsque blow-up ne signifie pas “concentration” : un détour par rapport au résultat de Brézis-Merle.) Zbl 1387.35310 Lin, Chang-Shou; Tarantello, Gabriella 14 2016 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050 Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 14 2015 On the conformal Gaussian curvature equation in \(\mathbb{R}^2\). Zbl 0911.35044 Cheng, Kuo-Shung; Lin, Chang-Shou 14 1998 Local isometric embedding of surfaces with nonpositive Gaussian curvature. Zbl 1070.53034 Han, Qing; Hong, Jia-Xing; Lin, Chang-Shou 14 2003 Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations. Zbl 1388.35060 Hsia, Chun-Hsiung; Lin, Chang-Shou; Wang, Zhi-Qiang 14 2011 Mean field equations, hyperelliptic curves and modular forms. II. Zbl 1376.33022 Lin, Chang-Shou; Wang, Chin-Lung 13 2017 Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\). Zbl 1370.35109 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 13 2017 On the second eigenfunctions of the Laplacian in \({\mathbb{R}}^ 2\). Zbl 0637.35058 Lin, Chang-Shou 13 1987 On the symmetry of blowup solutions to a mean field equation. Zbl 0995.35004 Chen, Chuin Chuan; Lin, Chang-Shou 12 2001 On regular solutions of second order degenerate elliptic-parabolic equations. Zbl 0726.35047 Lin, Chang-Shou; Tso, Kaising 12 1990 On the best constant in the Moser-Onofri-Aubin inequality. Zbl 1211.58009 Ghoussoub, Nassif; Lin, Chang-Shou 12 2010 One-dimensional symmetry of periodic minimizers for a mean field equation. Zbl 1150.35036 Lin, Chang-Shou; Lucia, Marcello 12 2007 A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in \(\mathbb{R} \). Zbl 1498.81074 Chen, Zhijie; Fu, Erjuan; Lin, Chang-Shou 1 2022 Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \). Zbl 1468.34116 Chen, Zhijie; Fu, Erjuan; Lin, Chang-Shou 2 2021 The geometry of generalized Lamé equation. III: One-to-one of the Riemann-Hilbert correspondence. Zbl 1508.34117 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 1 2021 Sharp estimate for the critical parameters of \(SU(3)\) Toda system with arbitrary singularities. I. Zbl 1472.35136 Lin, Chang-Shou; Yang, Wen 1 2021 Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori. Zbl 1482.35081 Chen, Zhijie; Lin, Chang-Shou 1 2021 Degree counting for Toda system with simple singularity: one point blow up. Zbl 1439.35161 Lee, Youngae; Lin, Chang-Shou; Yang, Wen; Zhang, Lei 10 2020 A priori estimates of Toda systems. I: The Lie algebras of \(\mathbf{A}_n, \mathbf{B}_n, \mathbf{C}_n\) and \(\mathbf{G}_2\). Zbl 1432.37086 Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu 8 2020 Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics. Zbl 1439.22027 Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 6 2020 Sharp nonexistence results for curvature equations with four singular sources on rectangular tori. Zbl 1448.35244 Chen, Zhijie; Lin, Chang-Shou 6 2020 The \(\operatorname{SU}(3)\) Toda system with multiple singular sources. Zbl 1441.35127 Hyder, Ali; Lin, Changshou; Wei, Juncheng 4 2020 Spectrum of the Lamé operator and application. II: When an endpoint is a cusp. Zbl 1451.34108 Chen, Zhijie; Lin, Chang-Shou 3 2020 A priori estimates for \(D_4\) and \(F_4\) Toda systems. Zbl 1464.35098 Karmakar, Debabrata; Lin, Chang-Shou; Nie, Zhaohu 3 2020 Geometric quantities arising from bubbling analysis of mean field equations. Zbl 1458.35203 Lin, Chang-Shou; Wang, Chin-Lung 3 2020 On algebro-geometric simply-periodic solutions of the KdV hierarchy. Zbl 1439.35425 Chen, Zhijie; Lin, Chang-Shou 1 2020 Blow up at infinity in the SU(3) Chern-Simons model, part I. Zbl 1448.35167 Kuo, Ting-Jung; Lee, Youngae; Lin, Chang-Shou 1 2020 Critical points of the classical Eisenstein series of weight two. Zbl 1471.11138 Chen, Zhijie; Lin, Chang-Shou 8 2019 Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains. Zbl 1405.35046 Bartolucci, Daniele; Jevnikar, Aleks; Lin, Chang-Shou 7 2019 The geometry of generalized Lamé equation. I. Zbl 1416.33027 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 6 2019 The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application. Zbl 1428.33038 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 5 2019 A new type of non-topological bubbling solutions to a competitive Chern-Simons model. Zbl 1417.81149 Chen, Zhijie; Lin, Chang-Shou 4 2019 Existence of bubbling solutions without mass concentration. (Existence de solutions bouillonnantes sans concentration de masse.) Zbl 1426.35104 Lee, Youngae; Lin, Chang-Shou; Yang, Wen 3 2019 Existence of radial mixed type solutions in Chern-Simons theories of rank 2 in \(\mathbb{R}^2\). Zbl 1433.35318 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 3 2019 A time-space Kriging-based sequential metamodeling approach for multi-objective crashworthiness optimization. Zbl 1462.90118 Gao, F. L.; Bai, Y. C.; Lin, C.; Kim, I. Y. 3 2019 Non-existence of solutions for a mean field equation on flat tori at critical parameter \(16 \pi \). Zbl 1465.35221 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 2 2019 Uniqueness of bubbling solutions with collapsing singularities. Zbl 1426.35004 Lee, Youngae; Lin, Chang-Shou 1 2019 Simple zero property of some holomorphic functions on the moduli space of tori. Zbl 1431.30027 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 1 2019 On rank-2 Toda systems with arbitrary singularities: local mass and new estimates. Zbl 1383.35078 Lin, Chang-Shou; Wei, Jun-cheng; Yang, Wen; Zhang, Lei 17 2018 Degree counting and shadow system for Toda system of rank two: one bubbling. Zbl 1394.35166 Lee, Youngae; Lin, Chang-Shou; Wei, Juncheng; Yang, Wen 17 2018 Green function, Painlevé VI equation, and Eisenstein series of weight one. Zbl 1390.34242 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou; Wang, Chin-Lung 17 2018 On the mean field type bubbling solutions for Chern-Simons-Higgs equation. Zbl 1404.35201 Lin, Chang-Shou; Yan, Shusen 10 2018 Toda systems and hypergeometric equations. Zbl 1402.35106 Lin, Chang-Shou; Nie, Zhaohu; Wei, Juncheng 8 2018 Self-dual radial non-topological solutions to a competitive Chern-Simons model. Zbl 1394.35505 Chen, Zhijie; Lin, Chang-Shou 6 2018 Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems. Zbl 1394.34185 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou; Takemura, Kouichi 5 2018 On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations. Zbl 1387.34043 Chen, Zhijie; Lin, Chang-Shou 4 2018 Local uniqueness and refined spike profiles of ground states for two-dimensional attractive Bose-Einstein condensates. Zbl 1380.35093 Guo, Yujin; Lin, Changshou; Wei, Juncheng 33 2017 Mean field equations, hyperelliptic curves and modular forms. II. Zbl 1376.33022 Lin, Chang-Shou; Wang, Chin-Lung 13 2017 Existence of mixed type solutions in the SU(3) Chern-Simons theory in \(\mathbb {R}^2\). Zbl 1370.35109 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 13 2017 Existence of mixed type solutions in the Chern-Simons gauge theory of rank two in \(\mathbb{R}^2\). Zbl 1367.81109 Choe, Kwangseok; Kim, Namkwon; Lee, Youngae; Lin, Chang-Shou 8 2017 Sharp estimates for solutions of mean field equations with collapsing singularity. Zbl 1401.35119 Lee, Youngae; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Wen 7 2017 On the minimality of extra critical points of Green functions on flat tori. Zbl 1405.35058 Lin, Chang-Shou; Wang, Chin-Lung 5 2017 On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition. Zbl 1439.74407 Deokar, R.; Shimada, M.; Lin, C.; Tamma, K. K. 4 2017 Bubbling solutions for a skew-symmetric Chern-Simons system in a torus. Zbl 1373.35135 Han, Xiaosen; Huang, Hsin-Yuan; Lin, Chang-Shou 3 2017 Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I. Zbl 1375.34124 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 3 2017 On condensate of solutions for the Chern-Simons-Higgs equation. Zbl 1387.35512 Lin, Chang-Shou; Yan, Shusen 3 2017 Existence and non-existence of solutions of the mean field equations on flat tori. Zbl 1373.35108 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 2 2017 Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrödinger system. Zbl 1343.35101 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 18 2016 Estimates of the mean field equations with integer singular sources: non-simple blowup. Zbl 1358.35060 Kuo, Ting-Jung; Lin, Chang-Shou 15 2016 When “blow-up” does not imply “concentration”: a detour from Brézis-Merle’s result. (Lorsque blow-up ne signifie pas “concentration” : un détour par rapport au résultat de Brézis-Merle.) Zbl 1387.35310 Lin, Chang-Shou; Tarantello, Gabriella 14 2016 Energy concentration and A priori estimates for \(B_2\) and \(G_2\) types of Toda systems. Zbl 1404.35158 Lin, Chang-Shou; Zhang, Lei 11 2016 Mixed type solutions of the \(\mathrm{SU}(3)\) models on a torus. Zbl 1336.81054 Fan, Yen-Wen; Lee, Youngae; Lin, Chang-Shou 11 2016 New type of nontopological bubbling solutions in the \(\operatorname{SU}(3)\) Chern-Simons model in \(\mathbb{R}^2\). Zbl 1331.35289 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 10 2016 Hamiltonian system for the elliptic form of Painlevé VI equation. Zbl 1348.34141 Chen, Zhijie; Kuo, Ting-Jung; Lin, Chang-Shou 10 2016 On non-topological solutions of the \(\mathbf{G}_2\) Chern-Simons system. Zbl 1358.58013 Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng 10 2016 Resolution of Chern-Simons-Higgs vortex equations. Zbl 1339.35258 Han, Xiaosen; Lin, Chang-Shou; Yang, Yisong 9 2016 Local profile of fully bubbling solutions to \(\mathrm {SU} (n+1)\) Toda systems. Zbl 1350.35085 Lin, Chang-Shou; Wei, Juncheng; Zhang, Lei 8 2016 The existence of non-topological solutions for a skew-symmetric Chern-Simons system. Zbl 1346.35055 Huang, Genggeng; Lin, Chang-Shou 7 2016 On non-topological solutions of the \(\mathbf{A}_2\) and \(\mathbf{B}_2\) Chern-Simons system. Zbl 1330.35123 Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng 4 2016 Green function, mean field equation and Painlevé VI equation. Zbl 1405.35057 Lin, Chang-Shou 1 2016 On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity. Zbl 1328.53045 Deng, Yinbin; Lin, Chang-Shou; Yan, Shusen 77 2015 Mean field equation of Liouville type with singular data: topological degree. Zbl 1319.35283 Chen, Chiun-Chuan; Lin, Chang-Shou 60 2015 Mean field equations, hyperelliptic curves and modular forms. I. Zbl 1327.35116 Chai, Ching-Li; Lin, Chang-Shou; Wang, Chin-Lung 45 2015 Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems. Zbl 1322.35038 Lin, Chang-Shou; Wei, Jun-Cheng; Zhang, Lei 33 2015 Self-dual symmetric nontopological solutions in the \(\mathrm{SU}(3)\) model in \(\mathbb R^2\). Zbl 1308.81177 Choe, Kwangseok; Kim, Namkwon; Lin, Chang-Shou 17 2015 Removable singularity of positive solutions for a critical elliptic system with isolated singularity. Zbl 1337.35046 Chen, Zhijie; Lin, Chang-Shou 15 2015 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. I: Stokes data. Zbl 1332.37050 Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 14 2015 Tropical atmospheric circulations with humidity effects. Zbl 1371.86020 Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong 11 2015 Asymptotic analysis of solutions to a gauged O(3) sigma model. Zbl 1321.35239 Bartolucci, Daniele; Lee, Youngae; Lin, Chang-Shou; Onodera, Michiaki 11 2015 Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem. Zbl 1312.81121 Guest, Martin A.; Its, Alexander R.; Lin, Chang-Shou 10 2015 Asymptotic behavior of least energy solutions for a critical elliptic system. Zbl 1342.35110 Chen, Zhijie; Lin, Chang-Shou 10 2015 Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model on a torus. Zbl 1327.35103 Choe, Kwangseok; Han, Jongmin; Lee, Youngae; Lin, Chang-Shou 7 2015 Convergence rate, location and \(\partial_z^2\) condition for fully bubbling solutions to \(\mathrm{SU}(n + 1)\) Toda systems. Zbl 1328.35040 Lin, Chang-Shou; Wei, Juncheng; Zhang, Lei 4 2015 On Toda system with Cartan matrix \(G_{2}\). Zbl 1321.35039 Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng 3 2015 Uniqueness of topological multi-vortex solutions for a skew-symmetric Chern-Simons system. Zbl 1317.35060 Huang, Hsin-Yuan; Lee, Youngae; Lin, Chang-Shou 2 2015 Uniqueness of topological solutions of self-dual Chern-Simons equation with collapsing vortices. Zbl 1317.35234 Huang, Genggeng; Lin, Chang-Shou 1 2015 Existence and uniqueness for mean field equations on multiply connected domains at the critical parameter. Zbl 1300.35058 Bartolucci, Daniele; Lin, Chang-Shou 35 2014 Sign-changing solutions and phase separation for an elliptic system with critical exponent. Zbl 1308.35084 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 29 2014 Chern-Simons vortices in the Gudnason model. Zbl 1296.35153 Han, Xiaosen; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 20 2014 On the entire radial solutions of the Chern-Simons SU(3) system. Zbl 1295.82034 Huang, Hsin-Yuan; Lin, Chang-Shou 19 2014 Monotonicity and nonexistence results to cooperative systems in the half space. Zbl 1287.35017 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 18 2014 Segregated vector solutions for linearly coupled nonlinear Schrödinger systems. Zbl 1304.35648 Lin, Chang-Shou; Peng, Shuangjie 17 2014 Bubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model in \(\mathbb{R}^2\). Zbl 1283.81105 Choe, Kwangseok; Han, Jongmin; Lin, Chang-Shou 10 2014 Classification of the entire radial self-dual solutions to non-abelian Chern-Simons systems. Zbl 1308.81132 Huang, Hsin-Yuan; Lin, Chang-Shou 9 2014 Nonlinear PDE aspects of the tt* equations of Cecotti and Vafa. Zbl 1341.37039 Guest, Martin A.; Lin, Chang-Shou 8 2014 Multiplicity for self-dual condensate solutions in the Maxwell-Chern-Simons \(O(3)\) sigma model. Zbl 1301.81134 Han, Jongmin; Lin, Chang-Shou 8 2014 Classification of radial solutions to Liouville systems with singularities. Zbl 1285.35025 Lin, Chang-Shou; Zhang, Lei 5 2014 Uniqueness of non-topological solutions for the Chern-Simons system with two Higgs particles. Zbl 1298.35227 Huang, Hsin-Yuan; Lin, Chang-Shou 3 2014 Existence of non-Abelian vortices with product gauge groups. Zbl 1284.81207 Han, Xiaosen; Lin, Chang-Shou 2 2014 Mean field equations, hyperelliptic curves and modular forms. Zbl 1377.35100 Lin, Chang-Shou 1 2014 Existence of bubbling solutions for Chern-Simons model on a torus. Zbl 1260.35155 Lin, Chang-Shou; Yan, Shusen 44 2013 Bubbling solutions for the \(SU(3)\) Chern-Simons model on a torus. Zbl 1272.58019 Lin, Chang-Shou; Yan, Shusen 29 2013 Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations. Zbl 1281.35073 Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming 19 2013 Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged \(O(3)\) sigma models. Zbl 1287.81079 Choe, Kwangseok; Han, Jongmin; Lin, Chang-Shou; Lin, Tai-Chia 18 2013 On Liouville systems at critical parameters. I: One bubble. Zbl 1278.35255 Lin, Chang-shou; Zhang, Lei 17 2013 Blow-up for a reaction-diffusion equation with variable coefficient. Zbl 1254.35029 Guo, Jong-Shenq; Lin, Chang-Shou; Shimojo, Masahiko 15 2013 Solutions to the master equations governing fractional vortices. Zbl 1259.35190 Lin, Chang-Shou; Tarantello, Gabriella; Yang, Yisong 3 2013 Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources. Zbl 1258.35089 Lin, Chang-Shou; Wei, Juncheng; Ye, Dong 56 2012 A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents. Zbl 1255.35123 Li, YanYan; Lin, Chang-Shou 31 2012 Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system. Zbl 1271.30017 Lin, Chang-Shou; Wei, Juncheng; Zhao, Chunyi 20 2012 Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary. Zbl 1252.35146 Lin, Chang-Shou; Wadade, Hidemitsu 15 2012 Asymptotic behavior of SU(3) Toda system in a bounded domain. Zbl 1235.35111 Lin, Chang-Shou; Wei, Juncheng; Zhao, Chunyi 11 2012 ...and 101 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,758 Authors 119 Lin, Chang-Shou 93 Wei, Juncheng 36 Bartolucci, Daniele 34 Malchiodi, Andrea 33 Lee, Youngae 31 Zhang, Lei 28 Guo, Yuxia 25 Chern, Jann-Long 25 Peng, Shuangjie 24 Zou, Wenming 23 Tarantello, Gabriella 22 Chen, Zhijie 22 Yan, Shusen 22 Yang, Wen 21 Chen, Zhiyou 21 Del Pino, Manuel A. 21 Grossi, Massimo 21 Guo, Zongming 20 Dai, Wei 20 Han, Jongmin 20 Jevnikar, Aleks Yang Wen 20 Musso, Monica 20 Pistoia, Angela 18 Chtioui, Hichem 18 Li, YanYan 18 Wang, Mingxin 18 Wang, Zhi-Qiang 18 Zhou, Chunqin 17 Choe, Kwangseok 17 Gui, Changfeng 17 Tavares, Hugo 16 Ould Ahmedou, Mohameden 16 Yang, Yunyan 14 Byeon, Jaeyoung 14 D’Aprile, Teresa 14 Han, Xiaosen 14 Qin, Guolin 14 Shi, Junping 14 Wang, Chunhua 13 Ben Ayed, Mohamed 13 Guo, Yujin 13 Huang, Hsin-Yuan 13 Terracini, Susanna 13 Wan, FangShu 13 Wang, Guofang 12 Ao, Weiwei 12 de Marchis, Francesca 12 Suzuki, Takashi 12 Ward, Michael J. 12 Wu, Yingyi 12 Wu, Yuanze 11 Battaglia, Luca 11 Deng, Shengbing 11 Hyder, Ali 11 Kuo, Ting-Jung 11 Liu, Zuhan 11 Noris, Benedetta 11 Tang, Yong-Li 11 Yanagida, Eiji 11 Yang, Hui 11 Yang, Yisong 11 Ye, Dong 11 Zhou, Feng 10 Bahoura, Samy Skander 10 Chen, Xinfu 10 Dolbeault, Jean 10 Eremenko, Alexandre Émmanuilovich 10 Gladiali, Francesca 10 Iagar, Razvan Gabriel 10 Ko, Wonlyul 10 Kowalczyk, Michał 10 Li, Jiayu 10 Liu, Ting 10 Luo, Peng 10 Peng, Shaolong 10 Robert, Frédéric 10 Sánchez, Ariel 10 Tang, Zhongwei 9 Cao, Daomin 9 Han, Qing 9 Han, Yazhou 9 Leung, Man Chun 9 Liu, Zhongyuan 9 Luo, Yong 9 Martinazzi, Luca 9 Peng, Rui 9 Verzini, Gianmaria 9 Wang, Cong 9 Wang, Jun 9 Xiong, Jingang 9 Yang, Haitao 9 Yang, Jing 9 Yang, Minbo 9 Zhang, Yajing 8 Abdelhedi, Wael 8 Cui, Renhao 8 El Mehdi, Khalil O. 8 Esposito, Pierpaolo 8 Figueroa, Pablo 8 Fu, Shengmao ...and 1,658 more Authors all top 5 Cited in 273 Serials 189 Journal of Differential Equations 155 Calculus of Variations and Partial Differential Equations 113 Nonlinear Analysis. 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