Edit Profile (opens in new tab) Dancer, Edward Norman Compute Distance To: Compute Author ID: dancer.edward-norman Published as: Dancer, E. N.; Dancer, E. Norman; Dancer, Edward Norman; Dancer, Norman; Dancer, Edward N.; Dancer, Norman E. more...less Homepage: http://www.maths.usyd.edu.au/u/normd/ Documents Indexed: 243 Publications since 1971, including 2 Books 2 Contributions as Editor Reviewing Activity: 73 Reviews Biographic References: 2 Publications Co-Authors: 58 Co-Authors with 117 Joint Publications 2,032 Co-Co-Authors all top 5 Co-Authors 126 single-authored 25 Yan, Shusen 15 Du, Yihong 9 Wei, Juncheng 7 Toland, John Francis 7 Zhang, Zhitao 5 Bartsch, Thomas J. 5 Crooks, Elaine C. M. 5 Hess, Peter 5 Hilhorst, Danielle 5 Santra, Sanjiban 4 Guo, Zongming 4 Wang, Kelei 3 Buffoni, Boris 3 Daners, Daniel 3 Ortega, Rafael 2 Campos, Juan 2 Hauer, Daniel 2 Lam, Kee Yuen 2 López-Gómez, Julián 2 Mimura, Masayasu 2 Pistoia, Angela 2 Rybicki, Sławomir Maciej 2 Shi, Junping 2 Weth, Tobias 1 Ackermann, Nils 1 Aftalion, Amandine 1 Bates, Peter W. 1 Cao, Daomin 1 Church, Philip T. 1 Efendiev, Messoud 1 Farina, Alberto 1 Gęba, Kazimierz 1 Gladiali, Francesca 1 Grossi, Massimo 1 Gupta, Chaitan P. 1 Hastings, Stuart P. 1 Hillman, Jonathan Arthur 1 Huang, Qingguang 1 Ma, Li 1 Micheletti, Anna Maria 1 Ninomiya, Hirokazu 1 Noussair, Ezzat S. 1 Nussbaum, Roger David 1 Peletier, Lambertus Adrianus 1 Peng, Shuangjie 1 Perera, Kanishka 1 Poláčik, Peter 1 Ren, Xiaofeng 1 Schmitt, Klaus 1 Sims, Brailey 1 Stuart, Charles Alexander 1 Sweers, Guido H. 1 Timourian, J. G. 1 Wang, Zhi-Qiang 1 Yan, Shunsen 1 Yang, Hui 1 Zhang, Kewei 1 Zou, Wenming all top 5 Serials 18 Journal of Differential Equations 13 Differential and Integral Equations 12 Bulletin of the Australian Mathematical Society 12 Topological Methods in Nonlinear Analysis 10 Discrete and Continuous Dynamical Systems 10 Nonlinear Analysis. Theory, Methods & Applications 9 Proceedings of the London Mathematical Society. Third Series 9 Transactions of the American Mathematical Society 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Advanced Nonlinear Studies 6 Journal of Mathematical Analysis and Applications 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Indiana University Mathematics Journal 6 Mathematische Annalen 6 Advances in Differential Equations 5 Journal für die Reine und Angewandte Mathematik 5 Proceedings of the American Mathematical Society 4 Bulletin of the London Mathematical Society 4 Journal of the London Mathematical Society. Second Series 4 Pacific Journal of Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Archive for Rational Mechanics and Analysis 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Dynamics and Differential Equations 3 Abstract and Applied Analysis 2 Rocky Mountain Journal of Mathematics 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Methods and Applications of Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Oberwolfach Reports 1 Applicable Analysis 1 Journal of Geometry and Physics 1 Fundamenta Mathematicae 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Tôhoku Mathematical Journal. Second Series 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of the Australian Mathematical Society. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Communications on Applied Nonlinear Analysis 1 Positivity 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 192 Partial differential equations (35-XX) 61 Operator theory (47-XX) 49 Global analysis, analysis on manifolds (58-XX) 25 Biology and other natural sciences (92-XX) 23 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 8 Functional analysis (46-XX) 6 Manifolds and cell complexes (57-XX) 5 Algebraic topology (55-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 223 Publications have been cited 4,615 times in 2,730 Documents Cited by ▼ Year ▼ On the indices of fixed points of mappings in cones and applications. Zbl 0512.47045Dancer, E. N. 157 1983 A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang 156 2010 On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Zbl 0351.35037Dancer, E. N. 151 1977 A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121Dancer, E. N.; Wei, Juncheng; Weth, Tobias 132 2010 The effect of domain shape on the number of positive solutions of certain nonlinear equations. Zbl 0662.34025Dancer, E. N. 114 1988 On the structure of solutions of non-linear eigenvalue problems. Zbl 0276.47051Dancer, E. N. 106 1974 On positive solutions of some pairs of differential equations. Zbl 0524.35056Dancer, E. N. 103 1984 Multipeak solutions for a singularly perturbed Neumann problem. Zbl 0933.35070Dancer, E. N.; Yan, Shusen 82 1999 On positive solutions of some pairs of differential equations. II. Zbl 0549.35024Dancer, E. N. 75 1985 Some notes on the method of moving planes. Zbl 0777.35005Dancer, E. N. 71 1992 Global solution branches for positive mappings. Zbl 0275.47043Dancer, E. N. 70 1973 A note on an equation with critical exponent. Zbl 0646.35027Dancer, E. N. 70 1988 Boundary-value problems for weakly nonlinear ordinary differential equations. Zbl 0342.34007Dancer, E. N. 69 1976 Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102Dancer, E. N.; Du, Yihong; Guo, Zongming 68 2011 On the number of positive solutions of weakly nonlinear elliptic equations when a parameter is large. Zbl 0572.35040Dancer, E. N. 67 1986 On the structure of solutions of an equation in catalysis theory when a parameter is large. Zbl 0417.34042Dancer, E. N. 63 1980 Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A. 62 1999 Stability of fixed points for order-preserving discrete-time dynamical systems. Zbl 0728.58018Dancer, E. N.; Hess, P. 61 1991 Bifurcation from simple eigenvalues and eigenvalues of geometric multiplicity one. Zbl 1027.58009Dancer, E. N. 59 2002 Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046Dancer, E. N.; Du, Yihong 58 2002 Competing species equations with diffusion, large interactions, and jumping nonlinearities. Zbl 0815.35024Dancer, E. N.; Du, Yihong 58 1994 Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. Zbl 1163.35034Dancer, E. N.; Wei, Juncheng 52 2009 On the ranges of certain weakly nonlinear elliptic partial differential equations. Zbl 0394.35040Dancer, E. N. 51 1978 Positive solutions for a three-species competition system with diffusion I: General existence results. Zbl 0824.35033Dancer, E. N.; Du, Yihong 51 1995 On the existence and uniqueness of positive solutions for competing species models with diffusion. Zbl 0769.35016Dancer, E. N. 51 1991 The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 50 2012 The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012Buffoni, B.; Dancer, E. N.; Toland, J. F. 47 2000 On the classification of solutions of \(-\Delta u= e^u\) on \(\mathbb {R}^N\): Stability outside a compact set and applications. Zbl 1162.35027Dancer, E. N.; Farina, Alberto 45 2009 Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407Bates, Peter W.; Dancer, E. Norman; Shi, Junping 42 1999 The effect of domain shape on the number of positive solutions of certain nonlinear equations. II. Zbl 0729.35050Dancer, E. N. 42 1990 Real analyticity and non-degeneracy. Zbl 1040.35033Dancer, E. N. 40 2003 Domain perturbation for elliptic equations subject to Robin boundary conditions. Zbl 0886.35063Dancer, E. N.; Daners, D. 40 1997 The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010Buffoni, B.; Dancer, E. N.; Toland, J. F. 39 2000 Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H. 39 2004 Stable and finite Morse index solutions on \(\mathbb R^n\) or on bounded domains with small diffusion. Zbl 1145.35369Dancer, E. N. 38 2005 Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047Dancer, E. N.; Zhang, Zhitao 37 2002 On sign-changing solutions of certain semilinear elliptic problems. Zbl 0835.35051Dancer, E. N.; Du, Yihong 35 1995 Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 35 2011 On the use of asymptotics in nonlinear boundary value problems. Zbl 0519.34011Dancer, E. N. 34 1982 Degenerate critical points, homotopy indices and Morse inequalities. Zbl 0525.58012Dancer, E. N. 34 1984 On the superlinear Lazer-McKenna conjecture. Zbl 1190.35082Dancer, E. N.; Yan, Shusen 33 2005 Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups. Zbl 0970.35056Dancer, Norman; Perera, Kanishka 31 2001 On positive solutions of semilinear elliptic equations. Zbl 0661.35031Dancer, E. N.; Schmitt, Klaus 31 1987 Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero. Zbl 0819.35054Dancer, E. N.; Du, Yihong 30 1994 Bifurcation theory for analytic operators. Zbl 0252.47069Dancer, E. N. 29 1973 Interior and boundary peak solutions for a mixed boundary value problem. Zbl 0948.35055Dancer, E. N.; Yan, Shusen 29 1999 Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028Dancer, E. N.; Zhang, Zhitao 28 2000 On non-radially symmetric bifurcation. Zbl 0418.35015Dancer, E. N. 27 1979 A note on asymptotic uniqueness for some nonlinearities which change sign. Zbl 0945.35031Dancer, E. N. 27 2000 On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0947.35073Cao, Daomin; Dancer, Norman E.; Noussair, Ezzat S.; Yan, Shunsen 26 1996 The index of Lyapunov stable fixed points in two dimensions. Zbl 0811.34018Dancer, E. N.; Ortega, R. 26 1994 On stability and Hopf bifurcations for chemotaxis systems. Zbl 1010.92010Dancer, E. N. 25 2001 Dynamics of strongly competing systems with many species. Zbl 1252.35284Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 25 2012 On the uniqueness of the positive solution of a singularly perturbed problem. Zbl 0846.35046Dancer, E. N. 25 1995 Multiple fixed points of positive mappings. Zbl 0597.47034Dancer, E. N. 25 1986 On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027Dancer, E. N.; Sweers, G. 25 1989 Finite Morse index solutions of supercritical problems. Zbl 1158.35013Dancer, E. N. 24 2008 Global structure of the solutions of non-linear real analytic eigenvalue problems. Zbl 0268.47065Dancer, E. N. 23 1973 On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem. Zbl 1087.35507Dancer, E. N.; Wei, Juncheng 23 1999 A note on multiple solutions of some semilinear elliptic problems. Zbl 0880.35046Dancer, E. N.; Du, Yihong 23 1997 On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem. Zbl 0882.35052Dancer, E. N.; Wei, Juncheng 23 1997 New solutions of equations on \(\mathbb{R}^n\). Zbl 1025.35009Dancer, Edward Norman 22 2001 Generic domain dependence for non-smooth equations and the open set problem for jumping nonlinearities. Zbl 0817.35026Dancer, E. N. 21 1993 On the superlinear Lazer-McKenna conjecture. II. Zbl 1330.35147Dancer, E. N.; Yan, Shusen 21 2005 On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie 21 2006 A singularly perturbed elliptic problem in bounded domains with nontrivial topology. Zbl 0947.35075Dancer, E. N.; Yan, Shusen 20 1999 Positivity of maps and applications. Zbl 0845.47043Dancer, E. N. 20 1995 Construction of various types of solutions for an elliptic problem. Zbl 1154.35348Dancer, E. N.; Yan, Shusen 20 2004 Uniqueness and nonexistence of positive solutions to semipositone problems. Zbl 1194.35164Dancer, E. Norman; Shi, Junping 20 2006 Bifurcation theory in real Banach space. Zbl 0227.47050Dancer, E. N. 19 1971 Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038Dancer, E. N.; Du, Yihong 19 2003 Positive solutions for a three-species competition system with diffusion. II: The case of equal birth rates. Zbl 0824.35034Dancer, E. N.; Du, Yihong 19 1995 The Lazer-McKenna conjecture and a free boundary problem in two dimensions. Zbl 1202.35088Dancer, E. N.; Yan, Shusen 18 2008 Multiple solutions of asymptotically homogeneous problems. Zbl 0850.35043Dancer, E. N. 18 1988 Global breaking of symmetry of positive solutions on two-dimensional annuli. Zbl 0835.35050Dancer, E. N. 18 1992 A minimization problem associated with elliptic systems of FitzHugh–Nagumo type. Zbl 1110.35019Dancer, E. N.; Yan, Shusen 18 2004 A counterexample to the Lazer-McKenna conjecture. Zbl 0691.35039Dancer, E. N. 18 1989 On the influence of domain shape on the existence of large solutions of some superlinear problems. Zbl 0699.35103Dancer, E. N. 18 1989 Counterexamples to some conjectures on the number of solutions of nonlinear equations. Zbl 0556.35001Dancer, E. N. 18 1985 On the existence of multipeak solutions for nonlinear field equations on \(\mathbb R^N\). Zbl 1157.35367Dancer, E. N.; Yan, Shusen 17 2000 Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains. Zbl 0960.35035Dancer, E. Norman; Zhang, Kewei 17 2000 Superlinear problems on domains with holes of asymptotic shape and exterior problems. Zbl 0933.35068Dancer, E. N. 17 1998 Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds. Zbl 1159.58012Dancer, E. N.; Micheletti, A. M.; Pistoia, A. 17 2009 Classification of homotopy classes of equivariant gradient maps. Zbl 1086.47031Dancer, E. N.; Gȩba, K.; Rybicki, S. M. 17 2005 A new degree for \(S^ 1\)-invariant gradient mappings and applications. Zbl 0579.58022Dancer, E. N. 17 1985 Finite Morse index solutions of exponential problems. Zbl 1136.35030Dancer, E. N. 17 2008 The G-invariant implicit function theorem in infinite dimensions. Zbl 0512.58011Dancer, E. N. 17 1982 Infinitely many turning points for some supercritical problems. Zbl 1030.35073Dancer, E. N. 16 2000 Multiple solutions of some semilinear elliptic equations via the generalized Conley index. Zbl 0834.35049Dancer, E. N.; Du, Yihong 16 1995 Multi-layer solutions for an elliptic problem. Zbl 1109.35042Dancer, E. N.; Yan, Shusen 16 2003 Some remarks on half space problems. Zbl 1178.35177Dancer, E. N. 16 2009 On positive solutions of some singularly perturbed problems where the nonlinearity changes sign. Zbl 0835.35013Dancer, E. N. 15 1995 Moving plane methods for systems on half spaces. Zbl 1154.35030Dancer, E. N. 15 2008 Competing species systems with diffusion and large interactions. Zbl 0884.35031Dancer, Norman 15 1997 On uniqueness and stability for solutions of singularly perturbed predator-prey type equations with diffusion. Zbl 0817.35042Dancer, E. N. 15 1993 Semiclassical analysis of general second order elliptic operators on bounded domains. Zbl 0965.35105Dancer, E. N.; López-Gómez, J. 14 2000 The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations. Zbl 1053.35503Dancer, E. N.; Lam, K. Y.; Yan, S. 14 1998 Multibump solutions for an elliptic problem in expanding domains. Zbl 1011.35059Dancer, E. N.; Yan, Shusen 14 2002 Some remarks on a boundedness assumption for monotone dynamical systems. Zbl 0890.47037Dancer, E. N. 14 1998 Stable and finite Morse index solutions on \(\mathbb R^n\) or on bounded domains with small diffusion. II. Zbl 1183.35125Dancer, E. N. 14 2004 Liouville-type results for a class of quasilinear elliptic systems and applications. Zbl 1418.35124Dancer, E. N.; Yang, Hui; Zou, Wenming 2 2019 On a degree associated with the Gross-Pitaevskii system with a large parameter. Zbl 1425.35035Dancer, E. Norman 1 2019 On the Hardy-Sobolev equation. Zbl 1373.35109Dancer, E. N.; Gladiali, F.; Grossi, M. 12 2017 Precise exponential decay for solutions of semilinear elliptic equations and its effect on the structure of the solution set for a real analytic nonlinearity. Zbl 1389.35071Ackermann, Nils; Dancer, Norman 1 2016 Uniform convergence of solutions to elliptic equations on domains with shrinking holes. Zbl 1319.35026Dancer, E. N.; Daners, Daniel; Hauer, Daniel 4 2015 A Liouville theorem for \(p\)-harmonic functions on exterior domains. Zbl 1329.35086Dancer, E. N.; Daners, Daniel; Hauer, Daniel 3 2015 On the converse problem for the Gross-Pitaevskii equations with a large parameter. Zbl 1285.35022Dancer, Norman E. 2 2014 Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102Dancer, E. N.; Du, Yihong; Efendiev, Messoud 10 2013 Addendum to “The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture” [J. Funct. Anal. 262 (3) (2012) 1087–1131]. Zbl 1263.35091Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 8 2013 Some bifurcation results for rapidly growing nonlinearities. Zbl 1263.35026Dancer, E. N. 3 2013 The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 50 2012 Dynamics of strongly competing systems with many species. Zbl 1252.35284Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 25 2012 Non-radial singular solutions of Lane-Emden equations in \(\mathbb{R}^N\). Zbl 1287.35012Dancer, E. N.; Guo, Zongming; Wei, Juncheng 14 2012 Liouville-type results for non-cooperative elliptic systems in a half-space. Zbl 1250.35090Dancer, E. N.; Weth, Tobias 12 2012 Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations. Zbl 1246.35074Dancer, E. Norman; Hillman, Jonathan; Pistoia, Angela 3 2012 Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102Dancer, E. N.; Du, Yihong; Guo, Zongming 68 2011 Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043Dancer, E. N.; Wang, Kelei; Zhang, Zhitao 35 2011 Least energy nodal solution of a singular perturbed problem with jumping nonlinearity. Zbl 1219.35103Dancer, Edward N.; Santra, Sanjiban; Wei, Juncheng 6 2011 On the least point of the spectrum of certain cooperative linear systems with a large parameter. Zbl 1206.35184Dancer, E. N. 6 2011 Asymptotic behavior of the least energy solution of a problem with competing powers. Zbl 1232.35073Dancer, E. N.; Santra, Sanjiban; Wei, Juncheng 5 2011 Competition systems with strong interaction on a subdomain. Zbl 1234.35091Crooks, Elaine C. M.; Dancer, E. Norman 1 2011 Finite Morse index and linearized stable solutions on bounded and unbounded domains. Zbl 1243.35062Dancer, E. N. 1 2011 A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang 156 2010 A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121Dancer, E. N.; Wei, Juncheng; Weth, Tobias 132 2010 Singular perturbed problems in the zero mass case: asymptotic behavior of spikes. Zbl 1189.35061Dancer, E. N.; Santra, Sanjiban 8 2010 Highly nonlinear large-competition limits of elliptic systems. Zbl 1196.35215Crooks, E. C. M.; Dancer, E. N. 6 2010 Proofs of the results in “Boundary-value problems for weakly nonlinear ordinary differential equations”. Zbl 1222.34043Dancer, Edward Norman 5 2010 New results for finite Morse index solutions on \(\mathbb{R}^N\) and applications. Zbl 1216.35050Dancer, E. N. 3 2010 Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. Zbl 1163.35034Dancer, E. N.; Wei, Juncheng 52 2009 On the classification of solutions of \(-\Delta u= e^u\) on \(\mathbb {R}^N\): Stability outside a compact set and applications. Zbl 1162.35027Dancer, E. N.; Farina, Alberto 45 2009 Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds. Zbl 1159.58012Dancer, E. N.; Micheletti, A. M.; Pistoia, A. 17 2009 Some remarks on half space problems. Zbl 1178.35177Dancer, E. N. 16 2009 On the principal eigenvalue of linear cooperating elliptic systems with small diffusion. Zbl 1239.35103Dancer, E. N. 11 2009 Poincaré-Hopf type formulas on convex sets of Banach spaces. Zbl 1196.37034Bartsch, Thomas; Dancer, Norman 5 2009 Peak solutions without non-degeneracy conditions. Zbl 1197.35121Dancer, E. N. 4 2009 A Conley index calculation. Zbl 1181.35137Dancer, E. N. 3 2009 Peak solutions for the Dirichlet problem of an elliptic system. Zbl 1178.35365Dancer, Edward N.; Hilhorst, Danielle; Yan, Shusen 2 2009 Stable and finite Morse index solutions for Dirichlet problems with small diffusion in a degenerate case and problems with infinite boundary values. Zbl 1183.35149Dancer, E. N. 1 2009 Finite Morse index solutions of supercritical problems. Zbl 1158.35013Dancer, E. N. 24 2008 The Lazer-McKenna conjecture and a free boundary problem in two dimensions. Zbl 1202.35088Dancer, E. N.; Yan, Shusen 18 2008 Finite Morse index solutions of exponential problems. Zbl 1136.35030Dancer, E. N. 17 2008 Moving plane methods for systems on half spaces. Zbl 1154.35030Dancer, E. N. 15 2008 On the Lazar-McKenna conjecture involving critical and supercritical exponents. Zbl 1179.35139Dancer, E. N.; Yan, Shusen 9 2008 A new type of concentration solutions for a singularly perturbed elliptic problem. Zbl 1193.35072Dancer, E. N.; Yan, Shusen 14 2007 Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions. Zbl 1139.35049Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D. 12 2007 Sign-changing solutions for supercritical elliptic problems in domains with small holes. Zbl 1387.35284Dancer, E. N.; Wei, Juncheng 11 2007 On the superlinear Lazer-McKenna conjecture: the non-homogeneous case. Zbl 1162.35037Dancer, E. N.; Santra, Sanjiban 10 2007 On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Zbl 1146.35014Crooks, Elaine C. M.; Dancer, E. Norman; Hilhorst, Danielle 7 2007 Supercritical finite Morse index solutions. Zbl 1387.58015Dancer, E. N. 2 2007 Conley indices on convex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations. Zbl 1169.35023Dancer, E. N. 2 2007 Remarks on the existence of many solutions of certain nonlinear elliptic equations. Zbl 1182.35106Dancer, E. N.; Yan, Shusen 1 2007 On multiple radial solutions of a singularly perturbed nonlinear elliptic system. Zbl 1135.35028Dancer, Edward Norman; Ren, Xiaofeng; Yan, Shusen 1 2007 On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie 21 2006 Uniqueness and nonexistence of positive solutions to semipositone problems. Zbl 1194.35164Dancer, E. Norman; Shi, Junping 20 2006 Solutions with interior and boundary peaks for the Neumann problem of an elliptic system of FitzHugh-Nagumo type. Zbl 1186.35053Dancer, E. N.; Yan, Shusen 7 2006 Stable and not too unstable solutions on \(\mathbb R^n\) for small diffusion. Zbl 1259.35104Dancer, Norman 4 2006 Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type. Zbl 1260.35042Dancer, E. N.; Yan, Shusen 3 2006 A uniqueness theorem for a free boundary problem. Zbl 1168.35450Dancer, E. N.; Du, Yihong 3 2006 Interior peak solutions for an elliptic system of FitzHugh-Nagumo type. Zbl 1142.35393Dancer, E. N.; Yan, Shusen 1 2006 Stable and finite Morse index solutions on \(\mathbb R^n\) or on bounded domains with small diffusion. Zbl 1145.35369Dancer, E. N. 38 2005 On the superlinear Lazer-McKenna conjecture. Zbl 1190.35082Dancer, E. N.; Yan, Shusen 33 2005 On the superlinear Lazer-McKenna conjecture. II. Zbl 1330.35147Dancer, E. N.; Yan, Shusen 21 2005 Classification of homotopy classes of equivariant gradient maps. Zbl 1086.47031Dancer, E. N.; Gȩba, K.; Rybicki, S. M. 17 2005 Multipeak solutions for the Neumann problem of an elliptic system of FitzHugh-Nagumo type. Zbl 1172.35402Dancer, E. N.; Yan, Shusen 6 2005 Remarks on nonlinear elliptic problems on long domains. Zbl 1177.35070Dancer, E. N. 1 2005 Critical point, anti-maximum principle and semipositone \(p\)-Laplacian problems. Zbl 1144.35384Dancer, E. N.; Zhang, Zhitao 1 2005 Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H. 39 2004 Construction of various types of solutions for an elliptic problem. Zbl 1154.35348Dancer, E. N.; Yan, Shusen 20 2004 A minimization problem associated with elliptic systems of FitzHugh–Nagumo type. Zbl 1110.35019Dancer, E. N.; Yan, Shusen 18 2004 Stable and finite Morse index solutions on \(\mathbb R^n\) or on bounded domains with small diffusion. II. Zbl 1183.35125Dancer, E. N. 14 2004 Stable solutions on \(\mathbb R^n\) and the primary branch of some non-self-adjoint convex problems. Zbl 1150.35357Dancer, E. N. 7 2004 On connecting orbits for competing species equations with large interactions. Zbl 1065.35070Dancer, E. Norman 1 2004 Real analyticity and non-degeneracy. Zbl 1040.35033Dancer, E. N. 40 2003 Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038Dancer, E. N.; Du, Yihong 19 2003 Multi-layer solutions for an elliptic problem. Zbl 1109.35042Dancer, E. N.; Yan, Shusen 16 2003 On a free boundary problem arising from population biology. Zbl 1022.92025Dancer, E. N.; Du, Yihong 8 2003 Peak solutions for an elliptic system of FitzHugh-Nagumo type. Zbl 1115.35039Dancer, Edward Norman; Yan, Shusen 4 2003 Some mountain-pass solutions for small diffusion. Zbl 1030.35074Dancer, E. N. 4 2003 Asymptotic behavior of positive solutions of some elliptic problems. Zbl 1094.35045Dancer, E. N.; Du, Yihong; Ma, Li 4 2003 Some near critical problems. Zbl 1290.35091Dancer, E. N. 3 2003 Bifurcation from simple eigenvalues and eigenvalues of geometric multiplicity one. Zbl 1027.58009Dancer, E. N. 59 2002 Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046Dancer, E. N.; Du, Yihong 58 2002 Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047Dancer, E. N.; Zhang, Zhitao 37 2002 Multibump solutions for an elliptic problem in expanding domains. Zbl 1011.35059Dancer, E. N.; Yan, Shusen 14 2002 On the profile of the changing sign mountain pass solutions for an elliptic problem. Zbl 1109.35041Dancer, E. N.; Yan, Shusen 10 2002 Uniqueness and generic non-degeneracy on strips. Zbl 1263.35103Dancer, E. N. 2 2002 Spatial independence of invariant sets of parabolic systems. Zbl 1042.35015Dancer, E. N.; Huang, Qingguang 1 2002 Some results for jumping nonlinearities. Zbl 1213.35090Dancer, E. Norman 1 2002 Some remarks on the Fučík spectrum of the \(p\)-Laplacian and critical groups. Zbl 0970.35056Dancer, Norman; Perera, Kanishka 31 2001 On stability and Hopf bifurcations for chemotaxis systems. Zbl 1010.92010Dancer, E. N. 25 2001 New solutions of equations on \(\mathbb{R}^n\). Zbl 1025.35009Dancer, Edward Norman 22 2001 On the symmetry and uniqueness of solutions of the Ginzburg-Landau equations for small domains. Zbl 1066.35005Aftalion, A.; Dancer, E. N. 7 2001 On the resonance set in a fourth-order equation with jumping nonlinearity. Zbl 1022.35011Campos, Juan; Dancer, Edward Norman 4 2001 The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations. Zbl 1192.35077Dancer, E. N.; Lam, Kee Y.; Yan, Shusen 1 2001 The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012Buffoni, B.; Dancer, E. N.; Toland, J. F. 47 2000 The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010Buffoni, B.; Dancer, E. N.; Toland, J. F. 39 2000 Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028Dancer, E. N.; Zhang, Zhitao 28 2000 A note on asymptotic uniqueness for some nonlinearities which change sign. Zbl 0945.35031Dancer, E. N. 27 2000 On the existence of multipeak solutions for nonlinear field equations on \(\mathbb R^N\). Zbl 1157.35367Dancer, E. N.; Yan, Shusen 17 2000 Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains. Zbl 0960.35035Dancer, E. Norman; Zhang, Kewei 17 2000 ...and 123 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,083 Authors 94 Dancer, Edward Norman 94 Wei, Juncheng 37 Du, Yihong 37 Guo, Zongming 36 López-Gómez, Julián 36 Wu, Jianhua 34 Zou, Wenming 33 Yan, Shusen 33 Zhang, Zhitao 32 Wang, Zhi-Qiang 29 Shi, Junping 28 Ma, Ruyun 28 Papageorgiou, Nikolaos S. 25 Passaseo, Donato 25 Peng, Shuangjie 24 Pistoia, Angela 24 Wong, Patricia J. 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