Edit Profile (opens in new tab) Ni, Wei-Ming Compute Distance To: Compute Author ID: ni.wei-ming Published as: Ni, Wei-Ming; Ni, Weiming; Ni, W.-M.; Ni, W. M. Homepage: http://www.cpde.ecnu.edu.cn/peopledetail.php?id=3 External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 123 Publications since 1979, including 1 Book 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 62 Co-Authors with 108 Joint Publications 2,022 Co-Co-Authors all top 5 Co-Authors 19 single-authored 12 Takagi, Izumi 11 Lou, Yuan 8 He, Xiaoqing 6 Chen, Goong 6 Wei, Juncheng 6 Zhou, Jianxin 5 Li, Yi 5 Malchiodi, Andrea 5 Serrin, James 5 Yotsutani, Shoji 4 Lam, King-Yeung 4 Peletier, Lambertus Adrianus 4 Wang, Wenliang 3 Ambrosetti, Antonio 3 Cheng, Kuo-Shung 3 Deng, Yuanhua 3 Kenig, Carlos Eduardo 3 Kim, Yong Jung 3 Lin, Chang-Shou 3 Lin, Fang Hua 3 Sacks, Paul E. 3 Wang, Xuefeng 3 Wu, Yaping 2 Chang, Kung-Ching 2 Chen, Jianping 2 Guedes de Figueiredo, Djairo 2 DeAngelis, Donald L. 2 Ding, Weiyue 2 Gidas, Basilis 2 Gui, Changfeng 2 Guo, Qian 2 Hsu, Szebi 2 Jiang, Huiqiang 2 Martínez, Salomé 2 Nagylaki, Thomas 2 Nakashima, Kimie 2 Nirenberg, Louis 2 Su, Linlin 2 Suzuki, Kanako 2 Tang, Moxun 2 Taniguchi, Masaharu 2 Yanagida, Eiji 1 Agmon, Shmuel 1 Bae, Soohyun 1 Berestycki, Henri 1 Birindelli, Isabeau 1 Brézis, Haïm 1 Caffarelli, Luis Ángel 1 Chang, Sun-Yung Alice 1 Chi, Minyou 1 Ding, Zhonghai 1 Ekeland, Ivar 1 Fefferman, Charles Louis 1 Hu, Chia-Ren 1 Jang, Jaeduck 1 Kabeya, Yoshitsugu 1 Kawano, Nichiro 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Lax, Peter David 1 Lee, Tzong-Yow 1 Li, YanYan 1 Liu, Xin 1 Lloyd, Noel Glynne 1 Nussbaum, Roger David 1 Pan, Xingbin 1 Perronnet, Alain 1 Poláčik, Peter 1 Rabinowitz, Paul Henry 1 Shatah, Jalal 1 Tarantello, Gabriella 1 Tavantzis, John 1 Tian, Gang 1 Varadhan, S. R. Srinivasa 1 Vazquez, Juan Luis 1 Wang, G. Geoff 1 Wu, Zhuoqun 1 Xu, Qian 1 Yau, Shing-Tung 1 Zheng, Su all top 5 Serials 15 Discrete and Continuous Dynamical Systems 12 Journal of Differential Equations 7 Communications on Pure and Applied Mathematics 6 Duke Mathematical Journal 6 Indiana University Mathematics Journal 5 Transactions of the American Mathematical Society 4 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Biology 3 Proceedings of the American Mathematical Society 3 Journal of Fudan University. Natural Science 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Mathematics of Computation 2 Mathematische Annalen 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Bulletin of the Institute of Mathematics. Academia Sinica 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Notices of the American Mathematical Society 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Sciences Research Institute Publications 1 AIAA Journal 1 Mathematical Biosciences 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Japan Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 RIMS Kokyuroku 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 117 Partial differential equations (35-XX) 36 Biology and other natural sciences (92-XX) 9 Numerical analysis (65-XX) 8 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 7,261 times in 4,158 Documents Cited by ▼ Year ▼ Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 1,306 1979 Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030Lin, C.-S.; Ni, W.-M.; Takagi, I. 382 1988 Diffusion, self-diffusion and cross-diffusion. Zbl 0867.35032Lou, Yuan; Ni, Wei-Ming 355 1996 On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042Ni, Wei-Ming; Takagi, Izumi 314 1991 Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056Ni, Wei-Ming; Takagi, Izumi 280 1993 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 224 1981 On the elliptic equation Delta(u) + K(x)u**((n+2)/(n-2))=0, its generalizations, and applications in geometry. Zbl 0496.35036Ni, Wei-Ming 194 1982 Diffusion vs cross-diffusion: An elliptic approach. Zbl 0934.35040Lou, Yuan; Ni, Wei-Ming 172 1999 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 171 1986 Diffusion, cross-diffusion, and their spike-layer steady states. Zbl 0917.35047Ni, Wei-Ming 168 1998 On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0838.35009Ni, Wei-Ming; Wei, Juncheng 157 1995 Uniqueness and nonuniqueness for positive radial solutions of \(\Delta u+f(u,r)=0\). Zbl 0581.35021Ni, Weiming; Nussbaum, Roger D. 151 1985 A nonlinear Dirichlet problem on the unit ball and its applications. Zbl 0515.35033Ni, Wei-Ming 139 1982 On conformal scalar curvature equations in \({\mathbb{R}}^ n\). Zbl 0674.53048Li, Yi; Ni, Wei-Ming 117 1988 On the stability and instability of positive steady states of a semilinear heat equation in \(\mathbb{R}^ n\). Zbl 0811.35048Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 114 1992 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 114 1993 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 111 2003 Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem. Zbl 0785.35011Lee, Tzong-Yow; Ni, Wei-Ming 106 1992 Turing patterns in the Lengyel-Epstein system for the CIMA reaction. Zbl 1074.35051Ni, Wei-Ming; Tang, Moxun 100 2005 On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics. Zbl 0592.35048Ding, Weiyue; Ni, Weiming 92 1985 Global dynamics of the Lotka-Volterra competition-diffusion system: diffusion and spatial heterogeneity. I. Zbl 1338.92105He, Xiaoqing; Ni, Wei-Ming 86 2016 On the global existence of a cross-diffusion system. Zbl 0960.35049Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 75 1998 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 75 1986 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity. Zbl 1262.35125He, Xiaoqing; Ni, Wei-Ming 71 2013 On the asymptotic behavior of solutions of certain quasilinear parabolic equations. Zbl 0565.35053Ni, Wei-Ming; Sacks, Paul E.; Tavantzis, John 70 1984 Uniqueness and complete dynamics in heterogeneous competition-diffusion systems. Zbl 1263.35133Lam, King-Yeung; Ni, Wei-Ming 68 2012 Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model. Zbl 1072.35091Jang, Jaeduck; Ni, Wei-Ming; Tang, Moxun 65 2004 Seminlinear elliptic equations of Matukuma-type and related topics. Zbl 0655.35018Ni, Wei-Ming; Yotsutani, Shoji 64 1988 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 63 2004 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 63 2000 On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031Ni, Wei-Ming; Takagi, Izumi 62 1986 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 57 1985 On the structure of the conformal scalar curvature equation on \(\mathbb{R}^ n\). Zbl 0764.35037Cheng, Kuo-Shung; Ni, Wei-Ming 57 1992 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 57 2004 Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi 56 1992 On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng 56 2007 Singular behavior in nonlinear parabolic equations. Zbl 0573.35046Ni, Wei-Ming; Sacks, Paul 53 1985 Uniqueness of solutions of nonlinear Dirichlet problems. Zbl 0476.35033Ni, Wei-Ming 50 1983 On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures. Zbl 0487.35042Ni, Wei-Ming 49 1982 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case. Zbl 1286.35128He, Xiaoqing; Ni, Wei-Ming 48 2013 On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations. Zbl 0705.35039Li, Yi; Ni, Wei-Ming 46 1989 Further study on a nonlinear heat equation. Zbl 0974.35056Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 45 2001 Qualitative properties of solutions to elliptic problems. Zbl 1129.35401Ni, Wei-Ming 45 2004 On positive solutions concentrating on spheres for the Gierer-Meinhardt system. Zbl 1090.35023Ni, Wei-Ming; Wei, Juncheng 41 2006 Multiple clustered layer solutions for semilinear Neumann problems on a ball. Zbl 1207.35141Malchiodi, A.; Ni, Wei-Ming; Wei, Juncheng 39 2005 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II. Zbl 1375.35244He, Xiaoqing; Ni, Wei-Ming 39 2016 On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion. Zbl 1008.92035Lou, Yuan; Martínez, Salomé; Ni, Wei-Ming 37 2000 Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006Ni, Wei-Ming; Takagi, Izumi 35 1995 On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions. Zbl 0946.35007Ni, Wei-Ming; Takagi, Izumi; Wei, Juncheng 33 1998 On the existence of global vortex rings. Zbl 0457.76020Ni, Wei-Ming 33 1980 Limiting profiles of semilinear elliptic equations with large advection in population dynamics. Zbl 1193.35232Lam, King-Yeung; Ni, Wei-Ming 33 2010 A counterexample to the nodal domain conjecture and a related semilinear equation. Zbl 0652.35085Lin, Chang-Shou; Ni, Wei-Ming 32 1988 On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior. Zbl 0764.35013Li, Yi; Ni, Wei-Ming 32 1992 Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition. Zbl 0429.35035de Figueiredo, Djairo Guedes; Ni, Wei-Ming 32 1979 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 Pattern formation in a cross-diffusion system. Zbl 1307.35040Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 30 2015 An introduction to migration-selection PDE models. Zbl 1277.35003Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 29 2013 Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji 28 2001 Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\). Zbl 1200.35107Bae, Soohyun; Ni, Wei-Ming 28 2001 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171Ni, Wei-Ming; Taniguchi, Masaharu 28 2013 On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). II: Radial symmetry. Zbl 0764.35014Li, Yi; Ni, Wei-Ming 27 1992 An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles. Zbl 1192.35014Nakashima, Kimie; Ni, Wei-Ming; Su, Linlin 25 2010 An indefinite nonlinear diffusion problem in population genetics. II: Stability and multiplicity. Zbl 1192.35020Lou, Yuan; Ni, Wei-Ming; Su, Linlin 25 2010 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III. Zbl 1378.35157He, Xiaoqing; Ni, Wei-Ming 25 2017 On diffusion-induced blowups in a mutualistic model. Zbl 0980.35059Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 24 2001 On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\). Zbl 0733.35037Cheng, Kuo-Shung; Ni, Wei-Ming 24 1991 The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion. Zbl 1326.35019Ni, Wei-Ming; Wu, Yaping; Xu, Qian 23 2014 Dispersal and spatial heterogeneity: single species. Zbl 1356.92072DeAngelis, Donald L.; Ni, Wei-Ming; Zhang, Bo 23 2016 Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment. Zbl 1371.92083Zhang, Bo; Liu, Xin; DeAngelis, D. L.; Ni, Wei-Ming; Wang, G. Geoff 22 2015 On the positive radial solutions of some semilinear elliptic equations on \(R_ n\). Zbl 0527.35026Ni, Weiming 20 1983 A generalized Pohozaev identity and its applications. Zbl 0714.35028Kawano, Nichiro; Ni, Wei-Ming; Yotsutani, Shoji 19 1990 Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Zbl 0864.65071Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin 19 1996 Monotonicity of stable solutions in shadow systems. Zbl 0981.35018Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji 19 2001 On the global existence and finite time blow-up of shadow systems. Zbl 1203.35049Li, Fang; Ni, Wei-Ming 16 2009 On steady states of van der Waals force driven thin film equations. Zbl 1135.35035Jiang, Huiqiang; Ni, Wei-Ming 16 2007 The mathematics of diffusion. Zbl 1230.35003Ni, Wei-Ming 15 2011 The dynamics of a kinetic activator – inhibitor system. Zbl 1108.34044Ni, Wei-Ming; Suzuki, Kanako; Takagi, Izumi 15 2006 Boundary-clustered interfaces for the Allen-Cahn equation. Zbl 1221.35150Malchiodi, Andrea; Ni, Wei-Ming; Wei, Juncheng 14 2007 On the elliptic equation \(Lu-k+K\,\exp [2u]=0\). Zbl 0593.35044Kenig, Carlos E.; Ni, Wei-Ming 14 1985 Some minimax principles and their applications in nonlinear elliptic equations. Zbl 0462.58016Ni, Wei-Ming 14 1980 The number of peaks of positive solutions of semilinear parabolic equations. Zbl 0605.35041Ni, Wei-Ming; Sacks, Paul 14 1985 Stationary Keller-Segel model with the linear sensitivity. Zbl 0940.35196Kabeya, Yoshitsugu; Ni, Wei-Ming 13 1998 On Matukuma’s equation and related topics. Zbl 0638.35031Ni, Wei-Ming; Yotsutani, Shoji 10 1986 On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II. Zbl 0753.35032Cheng, Kuo-Shung; Ni, Wei-Ming 10 1991 Advection-mediated competition in general environments. Zbl 1295.92023Lam, King-Yeung; Ni, Wei-Ming 10 2014 On the rate of convergence and asymptotic profile of solutions to the viscous Burgers equation. Zbl 1038.35094Kim, Yong-Jung; Ni, Wei-Ming 9 2002 Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments. Zbl 1415.92150He, Xiaoqing; Lam, King-Yeung; Lou, Yuan; Ni, Wei-Ming 9 2019 A priori estimates of stationary solutions of an activator-inhibitor system. Zbl 1125.35018Jiang, Huiqiang; Ni, Weiming 8 2007 On the diffusion coefficient of a semilinear Neumann problem. Zbl 0704.35050Lin, Chang-Shou; Ni, Wei-Ming 7 1988 On a singular elliptic equation. Zbl 0523.35048Ni, Wei-Ming 7 1983 A note on the elliptic sine-Gordon equation. Zbl 1208.35030Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin 6 2004 The global existence of solutions for a cross-diffusion system. Zbl 0903.92027Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 5 1996 Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090Li, F.; Nakashima, K.; Ni, W.-M. 4 2017 Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 4 2002 Stability from the point of view of diffusion, relaxation and spatial inhomogeneity. Zbl 1140.35346Li, Fang; Nakashima, Kimie; Ni, Wei-Ming 4 2008 Diffusion and cross-diffusion in pattern formation. Zbl 1162.35370Ni, Wei-Ming 4 2004 Higher order approximations in the heat equation and the truncated moment problem. Zbl 1180.35029Kim, Yong Jung; Ni, Wei-Ming 4 2009 Some aspects of semilinear elliptic equations on \({\mathbb{R}}^ n\). Zbl 0676.35026Ni, Wei-Ming 3 1988 Periodic solutions for a \(3\times 3\) competitive system with cross-diffusion. Zbl 1118.35004Martínez, Salomé; Ni, Wei-Ming 3 2006 On the first positive Neumann eigenvalue. Zbl 1126.35036Ni, Wei-Ming; Wang, Xuefeng 3 2007 Global dynamics of a general Lotka-Volterra competition-diffusion system in heterogeneous environments. Zbl 1442.92129Guo, Qian; He, Xiaoqing; Ni, Wei-Ming 3 2020 On the effects of carrying capacity and intrinsic growth rate on single and multiple species in spatially heterogeneous environments. Zbl 1444.92088Guo, Qian; He, Xiaoqing; Ni, Wei-Ming 1 2020 Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments. Zbl 1415.92150He, Xiaoqing; Lam, King-Yeung; Lou, Yuan; Ni, Wei-Ming 9 2019 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III. Zbl 1378.35157He, Xiaoqing; Ni, Wei-Ming 25 2017 Non-local effects in an integro-PDE model from population genetics. Zbl 1390.92090Li, F.; Nakashima, K.; Ni, W.-M. 4 2017 Global dynamics of the Lotka-Volterra competition-diffusion system: diffusion and spatial heterogeneity. I. Zbl 1338.92105He, Xiaoqing; Ni, Wei-Ming 86 2016 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II. Zbl 1375.35244He, Xiaoqing; Ni, Wei-Ming 39 2016 Dispersal and spatial heterogeneity: single species. Zbl 1356.92072DeAngelis, Donald L.; Ni, Wei-Ming; Zhang, Bo 23 2016 Pattern formation in a cross-diffusion system. Zbl 1307.35040Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 30 2015 Effects of dispersal on total biomass in a patchy, heterogeneous system: analysis and experiment. Zbl 1371.92083Zhang, Bo; Liu, Xin; DeAngelis, D. L.; Ni, Wei-Ming; Wang, G. Geoff 22 2015 The existence and stability of nontrivial steady states for S-K-T competition model with cross diffusion. Zbl 1326.35019Ni, Wei-Ming; Wu, Yaping; Xu, Qian 23 2014 Advection-mediated competition in general environments. Zbl 1295.92023Lam, King-Yeung; Ni, Wei-Ming 10 2014 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity. Zbl 1262.35125He, Xiaoqing; Ni, Wei-Ming 71 2013 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case. Zbl 1286.35128He, Xiaoqing; Ni, Wei-Ming 48 2013 An introduction to migration-selection PDE models. Zbl 1277.35003Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 29 2013 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171Ni, Wei-Ming; Taniguchi, Masaharu 28 2013 Non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations. Zbl 1277.35098Kim, Yong Jung; Ni, Wei-Ming; Taniguchi, Masaharu 1 2013 Uniqueness and complete dynamics in heterogeneous competition-diffusion systems. Zbl 1263.35133Lam, King-Yeung; Ni, Wei-Ming 68 2012 The mathematics of diffusion. Zbl 1230.35003Ni, Wei-Ming 15 2011 Limiting profiles of semilinear elliptic equations with large advection in population dynamics. Zbl 1193.35232Lam, King-Yeung; Ni, Wei-Ming 33 2010 An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles. Zbl 1192.35014Nakashima, Kimie; Ni, Wei-Ming; Su, Linlin 25 2010 An indefinite nonlinear diffusion problem in population genetics. II: Stability and multiplicity. Zbl 1192.35020Lou, Yuan; Ni, Wei-Ming; Su, Linlin 25 2010 On the global existence and finite time blow-up of shadow systems. Zbl 1203.35049Li, Fang; Ni, Wei-Ming 16 2009 Higher order approximations in the heat equation and the truncated moment problem. Zbl 1180.35029Kim, Yong Jung; Ni, Wei-Ming 4 2009 Stability from the point of view of diffusion, relaxation and spatial inhomogeneity. Zbl 1140.35346Li, Fang; Nakashima, Kimie; Ni, Wei-Ming 4 2008 On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng 56 2007 On steady states of van der Waals force driven thin film equations. Zbl 1135.35035Jiang, Huiqiang; Ni, Wei-Ming 16 2007 Boundary-clustered interfaces for the Allen-Cahn equation. Zbl 1221.35150Malchiodi, Andrea; Ni, Wei-Ming; Wei, Juncheng 14 2007 A priori estimates of stationary solutions of an activator-inhibitor system. Zbl 1125.35018Jiang, Huiqiang; Ni, Weiming 8 2007 On the first positive Neumann eigenvalue. Zbl 1126.35036Ni, Wei-Ming; Wang, Xuefeng 3 2007 On positive solutions concentrating on spheres for the Gierer-Meinhardt system. Zbl 1090.35023Ni, Wei-Ming; Wei, Juncheng 41 2006 The dynamics of a kinetic activator – inhibitor system. Zbl 1108.34044Ni, Wei-Ming; Suzuki, Kanako; Takagi, Izumi 15 2006 Periodic solutions for a \(3\times 3\) competitive system with cross-diffusion. Zbl 1118.35004Martínez, Salomé; Ni, Wei-Ming 3 2006 Turing patterns in the Lengyel-Epstein system for the CIMA reaction. Zbl 1074.35051Ni, Wei-Ming; Tang, Moxun 100 2005 Multiple clustered layer solutions for semilinear Neumann problems on a ball. Zbl 1207.35141Malchiodi, A.; Ni, Wei-Ming; Wei, Juncheng 39 2005 Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model. Zbl 1072.35091Jang, Jaeduck; Ni, Wei-Ming; Tang, Moxun 65 2004 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 63 2004 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 57 2004 Qualitative properties of solutions to elliptic problems. Zbl 1129.35401Ni, Wei-Ming 45 2004 A note on the elliptic sine-Gordon equation. Zbl 1208.35030Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin 6 2004 Diffusion and cross-diffusion in pattern formation. Zbl 1162.35370Ni, Wei-Ming 4 2004 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 111 2003 On the rate of convergence and asymptotic profile of solutions to the viscous Burgers equation. Zbl 1038.35094Kim, Yong-Jung; Ni, Wei-Ming 9 2002 Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Zbl 1072.35068Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 4 2002 Further study on a nonlinear heat equation. Zbl 0974.35056Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 45 2001 Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji 28 2001 Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\). Zbl 1200.35107Bae, Soohyun; Ni, Wei-Ming 28 2001 On diffusion-induced blowups in a mutualistic model. Zbl 0980.35059Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 24 2001 Monotonicity of stable solutions in shadow systems. Zbl 0981.35018Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji 19 2001 Algorithms and visualization for solutions of nonlinear elliptic equations. II: Dirichlet, Neumann and Robin boundary conditions and problems in 3D. Zbl 1091.65507Chen, Goong; Ni, Wei-Ming; Perronnet, Alain; Zhou, Jianxin 2 2001 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 63 2000 On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion. Zbl 1008.92035Lou, Yuan; Martínez, Salomé; Ni, Wei-Ming 37 2000 Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Part II: Quasimonotone iteration for coupled \(2\times 2\) systems. Zbl 0951.65132Chen, Goong; Deng, Yuanhua; Ni, Wei-Ming; Zhou, Jianxin 1 2000 Diffusion vs cross-diffusion: An elliptic approach. Zbl 0934.35040Lou, Yuan; Ni, Wei-Ming 172 1999 Diffusion, cross-diffusion, and their spike-layer steady states. Zbl 0917.35047Ni, Wei-Ming 168 1998 On the global existence of a cross-diffusion system. Zbl 0960.35049Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 75 1998 On the location and profile of spike-layer solutions to a singularly perturbed semilinear Dirichlet problem: Intermediate solutions. Zbl 0946.35007Ni, Wei-Ming; Takagi, Izumi; Wei, Juncheng 33 1998 Stationary Keller-Segel model with the linear sensitivity. Zbl 0940.35196Kabeya, Yoshitsugu; Ni, Wei-Ming 13 1998 Diffusion, self-diffusion and cross-diffusion. Zbl 0867.35032Lou, Yuan; Ni, Wei-Ming 355 1996 Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Zbl 0864.65071Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin 19 1996 The global existence of solutions for a cross-diffusion system. Zbl 0903.92027Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 5 1996 On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0838.35009Ni, Wei-Ming; Wei, Juncheng 157 1995 Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006Ni, Wei-Ming; Takagi, Izumi 35 1995 Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056Ni, Wei-Ming; Takagi, Izumi 280 1993 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 114 1993 Spike-layers in semilinear elliptic singular perturbation problems. Zbl 0795.35007Ni, Wei-Ming; Takagi, Izumi 1 1993 On the stability and instability of positive steady states of a semilinear heat equation in \(\mathbb{R}^ n\). Zbl 0811.35048Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 114 1992 Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem. Zbl 0785.35011Lee, Tzong-Yow; Ni, Wei-Ming 106 1992 On the structure of the conformal scalar curvature equation on \(\mathbb{R}^ n\). Zbl 0764.35037Cheng, Kuo-Shung; Ni, Wei-Ming 57 1992 Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents. Zbl 0785.35041Ni, Wei-Ming; Pan, Xingbin; Takagi, Izumi 56 1992 On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior. Zbl 0764.35013Li, Yi; Ni, Wei-Ming 32 1992 On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). II: Radial symmetry. Zbl 0764.35014Li, Yi; Ni, Wei-Ming 27 1992 On the existence and shape of solutions to a semilinear Neumann problem. Zbl 0792.35057Ni, Wei-Ming; Takagi, Izumi 2 1992 On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042Ni, Wei-Ming; Takagi, Izumi 314 1991 On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\). Zbl 0733.35037Cheng, Kuo-Shung; Ni, Wei-Ming 24 1991 On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II. Zbl 0753.35032Cheng, Kuo-Shung; Ni, Wei-Ming 10 1991 A generalized Pohozaev identity and its applications. Zbl 0714.35028Kawano, Nichiro; Ni, Wei-Ming; Yotsutani, Shoji 19 1990 On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations. Zbl 0705.35039Li, Yi; Ni, Wei-Ming 46 1989 Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030Lin, C.-S.; Ni, W.-M.; Takagi, I. 382 1988 On conformal scalar curvature equations in \({\mathbb{R}}^ n\). Zbl 0674.53048Li, Yi; Ni, Wei-Ming 117 1988 Seminlinear elliptic equations of Matukuma-type and related topics. Zbl 0655.35018Ni, Wei-Ming; Yotsutani, Shoji 64 1988 A counterexample to the nodal domain conjecture and a related semilinear equation. Zbl 0652.35085Lin, Chang-Shou; Ni, Wei-Ming 32 1988 On the diffusion coefficient of a semilinear Neumann problem. Zbl 0704.35050Lin, Chang-Shou; Ni, Wei-Ming 7 1988 Some aspects of semilinear elliptic equations on \({\mathbb{R}}^ n\). Zbl 0676.35026Ni, Wei-Ming 3 1988 On the asymptotic behavior of solutions of \(v''(x)+x\,\sin \,v(x)=0\). Zbl 0682.34043Ni, Wei-Ming; Hsu, Sze-Bi 1 1988 Nonlinear diffusion equations and their equilibrium states I. Proceedings of a microprogram held August 25-September 12, 1986 (Berkeley, CA, USA). Zbl 0643.00015 1 1988 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 171 1986 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 75 1986 On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031Ni, Wei-Ming; Takagi, Izumi 62 1986 On Matukuma’s equation and related topics. Zbl 0638.35031Ni, Wei-Ming; Yotsutani, Shoji 10 1986 Uniqueness, nonuniqueness and related questions of noninear elliptic and parabolic equations. Zbl 0631.35028Ni, Wei-Ming 2 1986 Uniqueness and nonuniqueness for positive radial solutions of \(\Delta u+f(u,r)=0\). Zbl 0581.35021Ni, Weiming; Nussbaum, Roger D. 151 1985 On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics. Zbl 0592.35048Ding, Weiyue; Ni, Weiming 92 1985 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 57 1985 Singular behavior in nonlinear parabolic equations. Zbl 0573.35046Ni, Wei-Ming; Sacks, Paul 53 1985 On the elliptic equation \(Lu-k+K\,\exp [2u]=0\). Zbl 0593.35044Kenig, Carlos E.; Ni, Wei-Ming 14 1985 The number of peaks of positive solutions of semilinear parabolic equations. Zbl 0605.35041Ni, Wei-Ming; Sacks, Paul 14 1985 On the asymptotic behavior of solutions of certain quasilinear parabolic equations. Zbl 0565.35053Ni, Wei-Ming; Sacks, Paul E.; Tavantzis, John 70 1984 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 Uniqueness of solutions of nonlinear Dirichlet problems. Zbl 0476.35033Ni, Wei-Ming 50 1983 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,080 Authors 134 Wei, Juncheng 52 Ni, Wei-Ming 43 Shi, Junping 39 Li, Yi 38 Guo, Zongming 36 Dancer, Edward Norman 35 Lou, Yuan 33 Byeon, Jaeyoung 33 Wang, Mingxin 32 Cao, Daomin 32 Del Pino, Manuel A. 31 Grossi, Massimo 30 Yan, Shusen 28 Korman, Philip L. 28 Peng, Shuangjie 28 Wu, Jianhua 27 Pacella, Filomena 27 Peng, Rui 26 Wang, Zhi-Qiang 26 Yanagida, Eiji 25 Miyagaki, Olimpio Hiroshi 24 Lin, Chang-Shou 23 Pistoia, Angela 23 Yang, Zuodong 22 Li, Congming 22 Sciunzi, Berardino 21 Do Ó, João M. Bezerra 21 Felmer, Patricio L. 21 Malchiodi, Andrea 21 Miyamoto, Yasuhito 21 Musso, Monica 21 Winkler, Michael 20 Poláčik, Peter 20 Suzuki, Takashi 20 Weth, Tobias 20 Winter, Matthias 19 Li, YanYan 19 Lin, Zhigui 18 Chern, Jann-Long 18 Fu, Shengmao 18 Guo, Shangjiang 18 Montoro, Luigi 18 Souplet, Philippe 18 Ward, Michael J. 18 Wei, Junjie 18 Wu, Tsungfang 17 Afrouzi, Ghasem Alizadeh 17 Bonheure, Denis 17 Deng, Yinbin 17 Guo, Yujin 17 Mo, Jiaqi 16 Fila, Marek 16 Franca, Matteo 16 Guo, Yuxia 16 Peletier, Lambertus Adrianus 15 Chen, Xinfu 15 Dai, Wei 15 Dolbeault, Jean 15 Gladiali, Francesca 15 Noussair, Ezzat S. 15 Tang, Zhongwei 15 Yotsutani, Shoji 14 Bae, Soohyun 14 Guedes de Figueiredo, Djairo 14 Ko, Wonlyul 14 Lam, King-Yeung 14 Li, Wan-Tong 14 Lu, Guozhen 14 Mu, Chunlai 14 Wang, Xuefeng 14 Zhou, Jun 13 Ahn, Inkyung 13 Bandle, Catherine 13 Berestycki, Henri 13 Chen, Wenxiong 13 D’Aprile, Teresa 13 Du, Yihong 13 Farina, Alberto 13 Gazzola, Filippo 13 Kim, Yong Jung 13 Kuto, Kousuke 13 Li, Shanbing 13 Ma, Li 13 Merle, Frank 13 Naghizadeh, Zohreh 13 Ruf, Bernhard 13 Swanson, Charles A. 13 Wang, Weiming 13 Wang, Yuanshi 12 Cai, Yongli 12 Cerami, Giovanna 12 Damascelli, Lucio 12 Dávila, Juan 12 García-Huidobro, Marta 12 Gui, Changfeng 12 Jia, Yunfeng 12 Micheletti, Anna Maria 12 Pan, Xingbin 12 Peral Alonso, Ireneo 12 Srikanth, P. N. ...and 2,980 more Authors all top 5 Cited in 310 Serials 468 Journal of Differential Equations 290 Journal of Mathematical Analysis and Applications 233 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 149 Calculus of Variations and Partial Differential Equations 113 Discrete and Continuous Dynamical Systems 105 Communications in Partial Differential Equations 98 Nonlinear Analysis. Real World Applications 97 Nonlinear Analysis. Theory, Methods & Applications 90 Proceedings of the American Mathematical Society 89 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 83 Archive for Rational Mechanics and Analysis 76 Journal of Functional Analysis 68 Communications on Pure and Applied Analysis 63 Transactions of the American Mathematical Society 61 Applied Mathematics and Computation 55 Discrete and Continuous Dynamical Systems. Series B 54 ZAMP. Zeitschrift für angewandte Mathematik und Physik 54 Proceedings of the Royal Society of Edinburgh. 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(English Edition) 13 Japan Journal of Industrial and Applied Mathematics 13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 13 Journal of the European Mathematical Society (JEMS) 12 SIAM Journal on Applied Mathematics 11 Topological Methods in Nonlinear Analysis 11 Journal of Fixed Point Theory and Applications 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 9 Memoirs of the American Mathematical Society 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Results in Mathematics 9 Revista Matemática Iberoamericana 9 European Journal of Applied Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Theoretical Biology 8 Bulletin of the Australian Mathematical Society 8 Communications on Pure and Applied Mathematics 8 Tohoku Mathematical Journal. Second Series 8 Science in China. Series A 8 Potential Analysis 8 Mediterranean Journal of Mathematics 8 Mathematical Biosciences and Engineering 7 Mathematical Biosciences 7 Mathematische Nachrichten 7 Zeitschrift für Analysis und ihre Anwendungen 7 Numerical Methods for Partial Differential Equations 7 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 7 Journal of Nonlinear Science 7 Applied Mathematics. Series B (English Edition) 7 SIAM Journal on Applied Dynamical Systems 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 International Journal of Biomathematics 6 Chaos, Solitons and Fractals 6 Glasgow Mathematical Journal 6 Inventiones Mathematicae 6 Pacific Journal of Mathematics 6 Quarterly of Applied Mathematics 6 Chinese Annals of Mathematics. Series B 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Bulletin des Sciences Mathématiques ...and 210 more Serials all top 5 Cited in 49 Fields 3,747 Partial differential equations (35-XX) 795 Biology and other natural sciences (92-XX) 315 Ordinary differential equations (34-XX) 221 Global analysis, analysis on manifolds (58-XX) 158 Operator theory (47-XX) 151 Differential geometry (53-XX) 140 Dynamical systems and ergodic theory (37-XX) 133 Numerical analysis (65-XX) 112 Fluid mechanics (76-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 78 Functional analysis (46-XX) 70 Integral equations (45-XX) 57 Quantum theory (81-XX) 46 Potential theory (31-XX) 38 Statistical mechanics, structure of matter (82-XX) 34 Real functions (26-XX) 28 Probability theory and stochastic processes (60-XX) 22 Mechanics of deformable solids (74-XX) 22 Astronomy and astrophysics (85-XX) 21 Classical thermodynamics, heat transfer (80-XX) 18 Optics, electromagnetic theory (78-XX) 15 Relativity and gravitational theory (83-XX) 13 Mechanics of particles and systems (70-XX) 13 Systems theory; control (93-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Difference and functional equations (39-XX) 6 Algebraic topology (55-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Convex and discrete geometry (52-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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