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. more...less 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: 63 Co-Authors with 108 Joint Publications 2,607 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 2 Zhang, Bo 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 7,595 times in 4,354 Documents Cited by ▼ Year ▼ Symmetry and related properties via the maximum principle. Zbl 0425.35020Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 1,357 1979 Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030Lin, C.-S.; Ni, W.-M.; Takagi, I. 397 1988 Diffusion, self-diffusion and cross-diffusion. Zbl 0867.35032Lou, Yuan; Ni, Wei-Ming 395 1996 On the shape of least-energy solutions to a semilinear Neumann problem. Zbl 0754.35042Ni, Wei-Ming; Takagi, Izumi 321 1991 Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056Ni, Wei-Ming; Takagi, Izumi 287 1993 Symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb R^n\). Zbl 0469.35052Gidas, B.; Ni, Wei-Ming; Nirenberg, Louis 232 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 198 1982 Diffusion vs cross-diffusion: An elliptic approach. Zbl 0934.35040Lou, Yuan; Ni, Wei-Ming 179 1999 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 176 1986 Diffusion, cross-diffusion, and their spike-layer steady states. Zbl 0917.35047Ni, Wei-Ming 174 1998 On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0838.35009Ni, Wei-Ming; Wei, Juncheng 161 1995 Uniqueness and nonuniqueness for positive radial solutions of \(\Delta u+f(u,r)=0\). Zbl 0581.35021Ni, Weiming; Nussbaum, Roger D. 155 1985 A nonlinear Dirichlet problem on the unit ball and its applications. Zbl 0515.35033Ni, Wei-Ming 152 1982 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 122 1993 On conformal scalar curvature equations in \({\mathbb{R}}^ n\). Zbl 0674.53048Li, Yi; Ni, Wei-Ming 119 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 117 1992 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I. Zbl 1072.35019Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 116 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 113 1992 Turing patterns in the Lengyel-Epstein system for the CIMA reaction. Zbl 1074.35051Ni, Wei-Ming; Tang, Moxun 105 2005 Global dynamics of the Lotka-Volterra competition-diffusion system: diffusion and spatial heterogeneity. I. Zbl 1338.92105He, Xiaoqing; Ni, Wei-Ming 97 2016 On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics. Zbl 0592.35048Ding, Weiyue; Ni, Weiming 93 1985 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 78 1986 On the global existence of a cross-diffusion system. Zbl 0960.35049Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 77 1998 Uniqueness and complete dynamics in heterogeneous competition-diffusion systems. Zbl 1263.35133Lam, King-Yeung; Ni, Wei-Ming 77 2012 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity. Zbl 1262.35125He, Xiaoqing; Ni, Wei-Ming 75 2013 Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model. Zbl 1072.35091Jang, Jaeduck; Ni, Wei-Ming; Tang, Moxun 70 2004 On the asymptotic behavior of solutions of certain quasilinear parabolic equations. Zbl 0565.35053Ni, Wei-Ming; Sacks, Paul E.; Tavantzis, John 70 1984 Algorithms and visualization for solutions of nonlinear elliptic equations. Zbl 1090.65549Chen, Goong; Zhou, Jianxin; Ni, Wei-Ming 67 2000 Seminlinear elliptic equations of Matukuma-type and related topics. Zbl 0655.35018Ni, Wei-Ming; Yotsutani, Shoji 66 1988 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 65 2004 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 63 2004 On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031Ni, Wei-Ming; Takagi, Izumi 63 1986 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 61 1985 On the number of interior peak solutions for a singularly perturbed Neumann problem. Zbl 1170.35424Lin, Fang-Hua; Ni, Wei-Ming; Wei, Jun-Cheng 61 2007 On the structure of the conformal scalar curvature equation on \(\mathbb{R}^ n\). Zbl 0764.35037Cheng, Kuo-Shung; Ni, Wei-Ming 58 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 Singular behavior in nonlinear parabolic equations. Zbl 0573.35046Ni, Wei-Ming; Sacks, Paul 54 1985 Uniqueness of solutions of nonlinear Dirichlet problems. Zbl 0476.35033Ni, Wei-Ming 51 1983 The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case. Zbl 1286.35128He, Xiaoqing; Ni, Wei-Ming 51 2013 On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures. Zbl 0487.35042Ni, Wei-Ming 50 1982 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II. Zbl 1375.35244He, Xiaoqing; Ni, Wei-Ming 47 2016 Qualitative properties of solutions to elliptic problems. Zbl 1129.35401Ni, Wei-Ming 47 2004 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 47 1989 Further study on a nonlinear heat equation. Zbl 0974.35056Gui, Changfeng; Ni, Wei-Ming; Wang, Xuefeng 46 2001 On positive solutions concentrating on spheres for the Gierer-Meinhardt system. Zbl 1090.35023Ni, Wei-Ming; Wei, Juncheng 43 2006 Multiple clustered layer solutions for semilinear Neumann problems on a ball. Zbl 1207.35141Malchiodi, A.; Ni, Wei-Ming; Wei, Juncheng 39 2005 On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion. Zbl 1008.92035Lou, Yuan; Martínez, Salomé; Ni, Wei-Ming 38 2000 Limiting profiles of semilinear elliptic equations with large advection in population dynamics. Zbl 1193.35232Lam, King-Yeung; Ni, Wei-Ming 37 2010 Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006Ni, Wei-Ming; Takagi, Izumi 36 1995 Pattern formation in a cross-diffusion system. Zbl 1307.35040Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 35 2015 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 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 33 1992 A counterexample to the nodal domain conjecture and a related semilinear equation. Zbl 0652.35085Lin, Chang-Shou; Ni, Wei-Ming 33 1988 Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition. Zbl 0429.35035de Figueiredo, Djairo Guedes; Ni, Wei-Ming 32 1979 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171Ni, Wei-Ming; Taniguchi, Masaharu 31 2013 An introduction to migration-selection PDE models. Zbl 1277.35003Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 30 2013 An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry. Zbl 0559.35025Kenig, Carlos E.; Ni, Weiming 30 1984 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III. Zbl 1378.35157He, Xiaoqing; Ni, Wei-Ming 29 2017 Dispersal and spatial heterogeneity: single species. Zbl 1356.92072DeAngelis, Donald L.; Ni, Wei-Ming; Zhang, Bo 29 2016 Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji 29 2001 Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\). Zbl 1200.35107Bae, Soohyun; Ni, Wei-Ming 29 2001 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 28 1992 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 27 2014 On diffusion-induced blowups in a mutualistic model. Zbl 0980.35059Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 26 2001 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 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 24 2015 On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\). Zbl 0733.35037Cheng, Kuo-Shung; Ni, Wei-Ming 24 1991 A generalized Pohozaev identity and its applications. Zbl 0714.35028Kawano, Nichiro; Ni, Wei-Ming; Yotsutani, Shoji 21 1990 On the positive radial solutions of some semilinear elliptic equations on \(R_ n\). Zbl 0527.35026Ni, Weiming 20 1983 Monotonicity of stable solutions in shadow systems. Zbl 0981.35018Ni, Wei-Ming; Polácik, Peter; Yanagida, Eiji 19 2001 Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. Zbl 0864.65071Deng, Yuanhua; Chen, Goong; Ni, Wei-Ming; Zhou, Jianxin 19 1996 On the elliptic equation \(Lu-k+K\,\exp [2u]=0\). Zbl 0593.35044Kenig, Carlos E.; Ni, Wei-Ming 17 1985 On steady states of van der Waals force driven thin film equations. Zbl 1135.35035Jiang, Huiqiang; Ni, Wei-Ming 17 2007 On the global existence and finite time blow-up of shadow systems. Zbl 1203.35049Li, Fang; Ni, Wei-Ming 16 2009 The mathematics of diffusion. Zbl 1230.35003Ni, Wei-Ming 16 2011 The dynamics of a kinetic activator – inhibitor system. Zbl 1108.34044Ni, Wei-Ming; Suzuki, Kanako; Takagi, Izumi 15 2006 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 Boundary-clustered interfaces for the Allen-Cahn equation. Zbl 1221.35150Malchiodi, Andrea; Ni, Wei-Ming; Wei, Juncheng 14 2007 Stationary Keller-Segel model with the linear sensitivity. Zbl 0940.35196Kabeya, Yoshitsugu; Ni, Wei-Ming 13 1998 Advection-mediated competition in general environments. Zbl 1295.92023Lam, King-Yeung; Ni, Wei-Ming 13 2014 Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments. Zbl 1415.92150He, Xiaoqing; Lam, King-Yeung; Lou, Yuan; Ni, Wei-Ming 12 2019 On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II. Zbl 0753.35032Cheng, Kuo-Shung; Ni, Wei-Ming 10 1991 On Matukuma’s equation and related topics. Zbl 0638.35031Ni, Wei-Ming; Yotsutani, Shoji 10 1986 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 A priori estimates of stationary solutions of an activator-inhibitor system. Zbl 1125.35018Jiang, Huiqiang; Ni, Weiming 9 2007 On a singular elliptic equation. Zbl 0523.35048Ni, Wei-Ming 7 1983 On the diffusion coefficient of a semilinear Neumann problem. Zbl 0704.35050Lin, Chang-Shou; Ni, Wei-Ming 7 1988 A note on the elliptic sine-Gordon equation. Zbl 1208.35030Chen, Goong; Ding, Zhonghai; Hu, Chia-Ren; Ni, Wei-Ming; Zhou, Jianxin 6 2004 Global dynamics of a general Lotka-Volterra competition-diffusion system in heterogeneous environments. Zbl 1442.92129Guo, Qian; He, Xiaoqing; Ni, Wei-Ming 5 2020 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 Higher order approximations in the heat equation and the truncated moment problem. Zbl 1180.35029Kim, Yong Jung; Ni, Wei-Ming 4 2009 Diffusion and cross-diffusion in pattern formation. Zbl 1162.35370Ni, Wei-Ming 4 2004 Stability from the point of view of diffusion, relaxation and spatial inhomogeneity. Zbl 1140.35346Li, Fang; Nakashima, Kimie; Ni, Wei-Ming 4 2008 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 Global dynamics of a general Lotka-Volterra competition-diffusion system in heterogeneous environments. Zbl 1442.92129Guo, Qian; He, Xiaoqing; Ni, Wei-Ming 5 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 3 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 12 2019 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III. Zbl 1378.35157He, Xiaoqing; Ni, Wei-Ming 29 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 97 2016 Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II. Zbl 1375.35244He, Xiaoqing; Ni, Wei-Ming 47 2016 Dispersal and spatial heterogeneity: single species. Zbl 1356.92072DeAngelis, Donald L.; Ni, Wei-Ming; Zhang, Bo 29 2016 Pattern formation in a cross-diffusion system. Zbl 1307.35040Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 35 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 24 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 27 2014 Advection-mediated competition in general environments. Zbl 1295.92023Lam, King-Yeung; Ni, Wei-Ming 13 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 75 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 51 2013 Traveling fronts of pyramidal shapes in competition-diffusion systems. Zbl 1270.35171Ni, Wei-Ming; Taniguchi, Masaharu 31 2013 An introduction to migration-selection PDE models. Zbl 1277.35003Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 30 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 2 2013 Uniqueness and complete dynamics in heterogeneous competition-diffusion systems. Zbl 1263.35133Lam, King-Yeung; Ni, Wei-Ming 77 2012 The mathematics of diffusion. Zbl 1230.35003Ni, Wei-Ming 16 2011 Limiting profiles of semilinear elliptic equations with large advection in population dynamics. Zbl 1193.35232Lam, King-Yeung; Ni, Wei-Ming 37 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 61 2007 On steady states of van der Waals force driven thin film equations. Zbl 1135.35035Jiang, Huiqiang; Ni, Wei-Ming 17 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 9 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 43 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 105 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 70 2004 Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. II. Zbl 1081.35008Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming 65 2004 On a limiting system in the Lotka-Volterra competition with cross-diffusion. Zbl 1174.35360Lou, Yuan; Ni, Wei-Ming; Yotsutani, Shoji 63 2004 Qualitative properties of solutions to elliptic problems. Zbl 1129.35401Ni, Wei-Ming 47 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 116 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 46 2001 Stability of least energy patterns of the shadow system for an activator-inhibitor model. Zbl 1200.35172Ni, Wei-Ming; Takagi, Izumi; Yanagida, Eiji 29 2001 Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\). Zbl 1200.35107Bae, Soohyun; Ni, Wei-Ming 29 2001 On diffusion-induced blowups in a mutualistic model. Zbl 0980.35059Lou, Yuan; Nagylaki, Thomas; Ni, Wei-Ming 26 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 67 2000 On \(3\times 3\) Lotka-Volterra competition systems with cross-diffusion. Zbl 1008.92035Lou, Yuan; Martínez, Salomé; Ni, Wei-Ming 38 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 179 1999 Diffusion, cross-diffusion, and their spike-layer steady states. Zbl 0917.35047Ni, Wei-Ming 174 1998 On the global existence of a cross-diffusion system. Zbl 0960.35049Lou, Yuan; Ni, Wei-Ming; Wu, Yaping 77 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 395 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 161 1995 Point condensation generated by a reaction-diffusion system in axially symmetric domains. Zbl 0843.35006Ni, Wei-Ming; Takagi, Izumi 36 1995 Locating the peaks of least-energy solutions to a semilinear Neumann problem. Zbl 0796.35056Ni, Wei-Ming; Takagi, Izumi 287 1993 Radial symmetry of positive solutions of nonlinear elliptic equations in \(\mathbb{R}^ n\). Zbl 0788.35042Li, Yi; Ni, Wei-Ming 122 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 117 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 113 1992 On the structure of the conformal scalar curvature equation on \(\mathbb{R}^ n\). Zbl 0764.35037Cheng, Kuo-Shung; Ni, Wei-Ming 58 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 33 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 28 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 321 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 21 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 47 1989 Large amplitude stationary solutions to a chemotaxis system. Zbl 0676.35030Lin, C.-S.; Ni, W.-M.; Takagi, I. 397 1988 On conformal scalar curvature equations in \({\mathbb{R}}^ n\). Zbl 0674.53048Li, Yi; Ni, Wei-Ming 119 1988 Seminlinear elliptic equations of Matukuma-type and related topics. Zbl 0655.35018Ni, Wei-Ming; Yotsutani, Shoji 66 1988 A counterexample to the nodal domain conjecture and a related semilinear equation. Zbl 0652.35085Lin, Chang-Shou; Ni, Wei-Ming 33 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 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 asymptotic behavior of solutions of \(v''(x)+x\,\sin \,v(x)=0\). Zbl 0682.34043Ni, Wei-Ming; Hsu, Sze-Bi 1 1988 On the existence of positive entire solutions of a semilinear elliptic equation. Zbl 0616.35029Ding, Wei-Yue; Ni, Wei-Ming 176 1986 Nonexistence theorems for singular solutions of quasilinear partial differential equations. Zbl 0602.35031Ni, Wei-Ming; Serrin, James 78 1986 On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type. Zbl 0635.35031Ni, Wei-Ming; Takagi, Izumi 63 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. 155 1985 On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics. Zbl 0592.35048Ding, Weiyue; Ni, Weiming 93 1985 Non-existence theorems for quasilinear partial differential equations. Zbl 0625.35028Ni, Wei-Ming; Serrin, James 61 1985 Singular behavior in nonlinear parabolic equations. Zbl 0573.35046Ni, Wei-Ming; Sacks, Paul 54 1985 On the elliptic equation \(Lu-k+K\,\exp [2u]=0\). Zbl 0593.35044Kenig, Carlos E.; Ni, Wei-Ming 17 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 51 1983 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,290 Authors 138 Wei, Juncheng 52 Ni, Wei-Ming 46 Shi, Junping 40 Li, Yi 39 Guo, Zongming 37 Lou, Yuan 36 Dancer, Edward Norman 34 Wang, Mingxin 33 Byeon, Jaeyoung 33 Cao, Daomin 32 Del Pino, Manuel A. 32 Grossi, Massimo 30 Peng, Shuangjie 30 Wu, Jianhua 30 Yan, Shusen 28 Korman, Philip L. 28 Peng, Rui 27 Pacella, Filomena 27 Sciunzi, Berardino 26 Wang, Zhi-Qiang 26 Yanagida, Eiji 25 Miyagaki, Olimpio Hiroshi 24 Lin, Chang-Shou 24 Pistoia, Angela 23 Miyamoto, Yasuhito 23 Winkler, Michael 23 Yang, Zuodong 22 Do Ó, João M. Bezerra 22 Li, Congming 22 Musso, Monica 21 Felmer, Patricio L. 21 Malchiodi, Andrea 21 Poláčik, Peter 21 Suzuki, Takashi 21 Weth, Tobias 20 Guo, Shangjiang 20 Winter, Matthias 19 Fu, Shengmao 19 Li, YanYan 19 Lin, Zhigui 19 Wu, Tsungfang 18 Chern, Jann-Long 18 Deng, Yinbin 18 Guo, Yujin 18 Guo, Yuxia 18 Montoro, Luigi 18 Souplet, Philippe 18 Ward, Michael J. 18 Wei, Junjie 17 Afrouzi, Ghasem Alizadeh 17 Bonheure, Denis 17 Mo, Jiaqi 16 Dai, Wei 16 Fila, Marek 16 Franca, Matteo 16 Gladiali, Francesca 16 Peletier, Lambertus Adrianus 15 Ahn, Inkyung 15 Chen, Xinfu 15 Dolbeault, Jean 15 Ko, Wonlyul 15 Kuto, Kousuke 15 Lam, King-Yeung 15 Li, Shanbing 15 Noussair, Ezzat S. 15 Tang, Zhongwei 15 Wang, Weiming 15 Yotsutani, Shoji 14 Bae, Soohyun 14 Cai, Yongli 14 Chen, Wenxiong 14 Guedes de Figueiredo, Djairo 14 Gazzola, Filippo 14 Li, Wan-Tong 14 Lu, Guozhen 14 Mu, Chunlai 14 Wang, Xuefeng 14 Wang, Yuanshi 14 Yang, Jun 14 Zhou, Jun 13 Bandle, Catherine 13 Berestycki, Henri 13 D’Aprile, Teresa 13 Du, Yihong 13 Farina, Alberto 13 Jia, Yunfeng 13 Kim, Yong Jung 13 Ma, Li 13 Merle, Frank 13 Naghizadeh, Zohreh 13 Ruf, Bernhard 13 Swanson, Charles A. 13 Wang, Qi 13 Zhang, Zhengce 12 Cerami, Giovanna 12 Damascelli, Lucio 12 Dávila, Juan 12 García-Huidobro, Marta 12 Gui, Changfeng 12 Maia, Liliane A. ...and 3,190 more Authors all top 5 Cited in 326 Serials 483 Journal of Differential Equations 296 Journal of Mathematical Analysis and Applications 240 Nonlinear Analysis. 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Mathematical Models & Methods in Applied Sciences 13 Journal of the European Mathematical Society (JEMS) 13 Mathematical Biosciences and Engineering 12 SIAM Journal on Applied Mathematics 12 Communications in Nonlinear Science and Numerical Simulation 12 Journal of Fixed Point Theory and Applications 11 Topological Methods in Nonlinear Analysis 10 Chaos, Solitons and Fractals 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 Journal of Theoretical Biology 8 Bulletin of the Australian Mathematical Society 8 Communications on Pure and Applied Mathematics 8 Tôhoku Mathematical Journal. Second Series 8 Chinese Annals of Mathematics. Series B 8 Science in China. Series A 8 Journal of Nonlinear Science 8 Potential Analysis 8 Acta Mathematica Scientia. Series B. (English Edition) 8 SIAM Journal on Applied Dynamical Systems 8 Mediterranean Journal of Mathematics 8 SN Partial Differential Equations and Applications 7 Mathematical Biosciences 7 Inventiones Mathematicae 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 Applied Mathematics. Series B (English Edition) 7 Electronic Journal of Differential Equations (EJDE) 7 Discrete Dynamics in Nature and Society 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 7 International Journal of Biomathematics 7 AIMS Mathematics ...and 226 more Serials all top 5 Cited in 49 Fields 3,926 Partial differential equations (35-XX) 860 Biology and other natural sciences (92-XX) 326 Ordinary differential equations (34-XX) 224 Global analysis, analysis on manifolds (58-XX) 161 Operator theory (47-XX) 155 Differential geometry (53-XX) 152 Dynamical systems and ergodic theory (37-XX) 137 Numerical analysis (65-XX) 115 Fluid mechanics (76-XX) 102 Calculus of variations and optimal control; optimization (49-XX) 81 Functional analysis (46-XX) 72 Integral equations (45-XX) 59 Quantum theory (81-XX) 48 Potential theory (31-XX) 40 Statistical mechanics, structure of matter (82-XX) 38 Real functions (26-XX) 30 Probability theory and stochastic processes (60-XX) 23 Mechanics of deformable solids (74-XX) 22 Classical thermodynamics, heat transfer (80-XX) 22 Astronomy and astrophysics (85-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) 11 Harmonic analysis on Euclidean spaces (42-XX) 8 Difference and functional equations (39-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Algebraic topology (55-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 4 Abstract harmonic analysis (43-XX) 4 Geometry (51-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-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 Manifolds and cell complexes (57-XX) 2 Geophysics (86-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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