## Dancer, Edward Norman

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 Author ID: dancer.edward-norman Published as: Dancer, E. N.; Dancer, E. Norman; Dancer, Edward Norman; Dancer, Norman; Dancer, Edward N.; Dancer, Norman E. Homepage: http://www.maths.usyd.edu.au/u/normd/
 Documents Indexed: 242 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 1,959 Co-Co-Authors
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### Co-Authors

 125 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
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### Serials

 18 Journal of Differential Equations 13 Differential and Integral Equations 12 Bulletin of the Australian Mathematical Society 11 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 Tohoku 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
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### Fields

 191 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)

### Citations contained in zbMATH Open

222 Publications have been cited 4,385 times in 2,601 Documents Cited by Year
On the indices of fixed points of mappings in cones and applications. Zbl 0512.47045
Dancer, E. N.
1983
On the Dirichlet problem for weakly non-linear elliptic partial differential equations. Zbl 0351.35037
Dancer, E. N.
1977
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang
2010
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
The effect of domain shape on the number of positive solutions of certain nonlinear equations. Zbl 0662.34025
Dancer, E. N.
1988
On the structure of solutions of non-linear eigenvalue problems. Zbl 0276.47051
Dancer, E. N.
1974
On positive solutions of some pairs of differential equations. Zbl 0524.35056
Dancer, E. N.
1984
Multipeak solutions for a singularly perturbed Neumann problem. Zbl 0933.35070
Dancer, E. N.; Yan, Shusen
1999
On positive solutions of some pairs of differential equations. II. Zbl 0549.35024
Dancer, E. N.
1985
Some notes on the method of moving planes. Zbl 0777.35005
Dancer, E. N.
1992
Global solution branches for positive mappings. Zbl 0275.47043
Dancer, E. N.
1973
A note on an equation with critical exponent. Zbl 0646.35027
Dancer, E. N.
1988
Boundary-value problems for weakly nonlinear ordinary differential equations. Zbl 0342.34007
Dancer, E. N.
1976
On the number of positive solutions of weakly nonlinear elliptic equations when a parameter is large. Zbl 0572.35040
Dancer, E. N.
1986
On the structure of solutions of an equation in catalysis theory when a parameter is large. Zbl 0417.34042
Dancer, E. N.
1980
Spatial segregation limit of a competition-diffusion system. Zbl 0982.92031
Dancer, E. N.; Hilhorst, D.; Mimura, M.; Peletier, L. A.
1999
Stability of fixed points for order-preserving discrete-time dynamical systems. Zbl 0728.58018
Dancer, E. N.; Hess, P.
1991
Competing species equations with diffusion, large interactions, and jumping nonlinearities. Zbl 0815.35024
Dancer, E. N.; Du, Yihong
1994
Bifurcation from simple eigenvalues and eigenvalues of geometric multiplicity one. Zbl 1027.58009
Dancer, E. N.
2002
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
2011
Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046
Dancer, E. N.; Du, Yihong
2002
Positive solutions for a three-species competition system with diffusion I: General existence results. Zbl 0824.35033
Dancer, E. N.; Du, Yihong
1995
On the existence and uniqueness of positive solutions for competing species models with diffusion. Zbl 0769.35016
Dancer, E. N.
1991
On the ranges of certain weakly nonlinear elliptic partial differential equations. Zbl 0394.35040
Dancer, E. N.
1978
Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. Zbl 1163.35034
Dancer, E. N.; Wei, Juncheng
2009
The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Multi-spike stationary solutions of the Cahn-Hilliard equation in higher-dimension and instability. Zbl 1157.35407
Bates, Peter W.; Dancer, E. Norman; Shi, Junping
1999
On the classification of solutions of $$-\Delta u= e^u$$ on $$\mathbb {R}^N$$: Stability outside a compact set and applications. Zbl 1162.35027
Dancer, E. N.; Farina, Alberto
2009
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H.
2004
The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
Real analyticity and non-degeneracy. Zbl 1040.35033
Dancer, E. N.
2003
The effect of domain shape on the number of positive solutions of certain nonlinear equations. II. Zbl 0729.35050
Dancer, E. N.
1990
Domain perturbation for elliptic equations subject to Robin boundary conditions. Zbl 0886.35063
Dancer, E. N.; Daners, D.
1997
Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047
Dancer, E. N.; Zhang, Zhitao
2002
Stable and finite Morse index solutions on $$\mathbb R^n$$ or on bounded domains with small diffusion. Zbl 1145.35369
Dancer, E. N.
2005
Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2011
The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
On sign-changing solutions of certain semilinear elliptic problems. Zbl 0835.35051
Dancer, E. N.; Du, Yihong
1995
On the use of asymptotics in nonlinear boundary value problems. Zbl 0519.34011
Dancer, E. N.
1982
Degenerate critical points, homotopy indices and Morse inequalities. Zbl 0525.58012
Dancer, E. N.
1984
On positive solutions of semilinear elliptic equations. Zbl 0661.35031
Dancer, E. N.; Schmitt, Klaus
1987
Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero. Zbl 0819.35054
Dancer, E. N.; Du, Yihong
1994
Some remarks on the Fučík spectrum of the $$p$$-Laplacian and critical groups. Zbl 0970.35056
Dancer, Norman; Perera, Kanishka
2001
On the superlinear Lazer-McKenna conjecture. Zbl 1190.35082
Dancer, E. N.; Yan, Shusen
2005
Interior and boundary peak solutions for a mixed boundary value problem. Zbl 0948.35055
Dancer, E. N.; Yan, Shusen
1999
Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028
Dancer, E. N.; Zhang, Zhitao
2000
On non-radially symmetric bifurcation. Zbl 0418.35015
Dancer, E. N.
1979
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0947.35073
Cao, Daomin; Dancer, Norman E.; Noussair, Ezzat S.; Yan, Shunsen
1996
The index of Lyapunov stable fixed points in two dimensions. Zbl 0811.34018
Dancer, E. N.; Ortega, R.
1994
A note on asymptotic uniqueness for some nonlinearities which change sign. Zbl 0945.35031
Dancer, E. N.
2000
Bifurcation theory for analytic operators. Zbl 0252.47069
Dancer, E. N.
1973
On the existence of a maximal weak solution for a semilinear elliptic equation. Zbl 0732.35027
Dancer, E. N.; Sweers, G.
1989
Multiple fixed points of positive mappings. Zbl 0597.47034
Dancer, E. N.
1986
Dynamics of strongly competing systems with many species. Zbl 1252.35284
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
On stability and Hopf bifurcations for chemotaxis systems. Zbl 1010.92010
Dancer, E. N.
2001
On the location of spikes of solutions with two sharp layers for a singularly perturbed semilinear Dirichlet problem. Zbl 1087.35507
Dancer, E. N.; Wei, Juncheng
1999
A note on multiple solutions of some semilinear elliptic problems. Zbl 0880.35046
Dancer, E. N.; Du, Yihong
1997
On the profile of solutions with two sharp layers to a singularly perturbed semilinear Dirichlet problem. Zbl 0882.35052
Dancer, E. N.; Wei, Juncheng
1997
Global structure of the solutions of non-linear real analytic eigenvalue problems. Zbl 0268.47065
Dancer, E. N.
1973
On the uniqueness of the positive solution of a singularly perturbed problem. Zbl 0846.35046
Dancer, E. N.
1995
Finite Morse index solutions of supercritical problems. Zbl 1158.35013
Dancer, E. N.
2008
Generic domain dependence for non-smooth equations and the open set problem for jumping nonlinearities. Zbl 0817.35026
Dancer, E. N.
1993
New solutions of equations on $$\mathbb{R}^n$$. Zbl 1025.35009
Dancer, Edward Norman
2001
Construction of various types of solutions for an elliptic problem. Zbl 1154.35348
Dancer, E. N.; Yan, Shusen
2004
On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081
Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie
2006
Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038
Dancer, E. N.; Du, Yihong
2003
Uniqueness and nonexistence of positive solutions to semipositone problems. Zbl 1194.35164
Dancer, E. Norman; Shi, Junping
2006
Bifurcation theory in real Banach space. Zbl 0227.47050
Dancer, E. N.
1971
Positive solutions for a three-species competition system with diffusion. II: The case of equal birth rates. Zbl 0824.35034
Dancer, E. N.; Du, Yihong
1995
Positivity of maps and applications. Zbl 0845.47043
Dancer, E. N.
1995
Multiple solutions of asymptotically homogeneous problems. Zbl 0850.35043
Dancer, E. N.
1988
Global breaking of symmetry of positive solutions on two-dimensional annuli. Zbl 0835.35050
Dancer, E. N.
1992
A singularly perturbed elliptic problem in bounded domains with nontrivial topology. Zbl 0947.35075
Dancer, E. N.; Yan, Shusen
1999
On the superlinear Lazer-McKenna conjecture. II. Zbl 1330.35147
Dancer, E. N.; Yan, Shusen
2005
On the influence of domain shape on the existence of large solutions of some superlinear problems. Zbl 0699.35103
Dancer, E. N.
1989
A counterexample to the Lazer-McKenna conjecture. Zbl 0691.35039
Dancer, E. N.
1989
Counterexamples to some conjectures on the number of solutions of nonlinear equations. Zbl 0556.35001
Dancer, E. N.
1985
On the existence of multipeak solutions for nonlinear field equations on $$\mathbb R^N$$. Zbl 1157.35367
Dancer, E. N.; Yan, Shusen
2000
A minimization problem associated with elliptic systems of FitzHugh–Nagumo type. Zbl 1110.35019
Dancer, E. N.; Yan, Shusen
2004
Classification of homotopy classes of equivariant gradient maps. Zbl 1086.47031
Dancer, E. N.; Gȩba, K.; Rybicki, S. M.
2005
Superlinear problems on domains with holes of asymptotic shape and exterior problems. Zbl 0933.35068
Dancer, E. N.
1998
Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains. Zbl 0960.35035
Dancer, E. Norman; Zhang, Kewei
2000
Multiple solutions of some semilinear elliptic equations via the generalized Conley index. Zbl 0834.35049
Dancer, E. N.; Du, Yihong
1995
Infinitely many turning points for some supercritical problems. Zbl 1030.35073
Dancer, E. N.
2000
Multi-layer solutions for an elliptic problem. Zbl 1109.35042
Dancer, E. N.; Yan, Shusen
2003
Finite Morse index solutions of exponential problems. Zbl 1136.35030
Dancer, E. N.
2008
Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds. Zbl 1159.58012
Dancer, E. N.; Micheletti, A. M.; Pistoia, A.
2009
The G-invariant implicit function theorem in infinite dimensions. Zbl 0512.58011
Dancer, E. N.
1982
A new degree for $$S^ 1$$-invariant gradient mappings and applications. Zbl 0579.58022
Dancer, E. N.
1985
On positive solutions of some singularly perturbed problems where the nonlinearity changes sign. Zbl 0835.35013
Dancer, E. N.
1995
Some remarks on half space problems. Zbl 1178.35177
Dancer, E. N.
2009
The Lazer-McKenna conjecture and a free boundary problem in two dimensions. Zbl 1202.35088
Dancer, E. N.; Yan, Shusen
2008
Competing species systems with diffusion and large interactions. Zbl 0884.35031
Dancer, Norman
1997
The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations. Zbl 1053.35503
Dancer, E. N.; Lam, K. Y.; Yan, S.
1998
Multibump solutions for an elliptic problem in expanding domains. Zbl 1011.35059
Dancer, E. N.; Yan, Shusen
2002
A new type of concentration solutions for a singularly perturbed elliptic problem. Zbl 1193.35072
Dancer, E. N.; Yan, Shusen
2007
Breaking of symmetries for forced equations. Zbl 0491.58012
Dancer, E. N.
1983
Moving plane methods for systems on half spaces. Zbl 1154.35030
Dancer, E. N.
2008
On stable solutions of quasilinear periodic-parabolic problems. Zbl 0697.35072
Dancer, E. N.; Hess, P.
1987
The G-invariant implicit function theorem in infinite dimensions. II. Zbl 0601.58013
Dancer, E. N.
1986
Liouville-type results for a class of quasilinear elliptic systems and applications. Zbl 1418.35124
Dancer, E. N.; Yang, Hui; Zou, Wenming
2019
On a degree associated with the Gross-Pitaevskii system with a large parameter. Zbl 1425.35035
Dancer, E. Norman
2019
On the Hardy-Sobolev equation. Zbl 1373.35109
Dancer, E. N.; Gladiali, F.; Grossi, M.
2017
Uniform convergence of solutions to elliptic equations on domains with shrinking holes. Zbl 1319.35026
Dancer, E. N.; Daners, Daniel; Hauer, Daniel
2015
A Liouville theorem for $$p$$-harmonic functions on exterior domains. Zbl 1329.35086
Dancer, E. N.; Daners, Daniel; Hauer, Daniel
2015
On the converse problem for the Gross-Pitaevskii equations with a large parameter. Zbl 1285.35022
Dancer, Norman E.
2014
Addendum to “The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture” [J. Funct. Anal. 262 (3) (2012) 1087–1131]. Zbl 1263.35091
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2013
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
2013
Some bifurcation results for rapidly growing nonlinearities. Zbl 1263.35026
Dancer, E. N.
2013
The limit equation for the Gross-Pitaevskii equations and S. Terracini’s conjecture. Zbl 1242.35119
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Dynamics of strongly competing systems with many species. Zbl 1252.35284
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2012
Non-radial singular solutions of Lane-Emden equations in $$\mathbb{R}^N$$. Zbl 1287.35012
Dancer, E. N.; Guo, Zongming; Wei, Juncheng
2012
Liouville-type results for non-cooperative elliptic systems in a half-space. Zbl 1250.35090
Dancer, E. N.; Weth, Tobias
2012
Deformation retracts to the fat diagonal and applications to the existence of peak solutions of nonlinear elliptic equations. Zbl 1246.35074
Dancer, E. Norman; Hillman, Jonathan; Pistoia, Angela
2012
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
2011
Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. Zbl 1270.35043
Dancer, E. N.; Wang, Kelei; Zhang, Zhitao
2011
Least energy nodal solution of a singular perturbed problem with jumping nonlinearity. Zbl 1219.35103
Dancer, Edward N.; Santra, Sanjiban; Wei, Juncheng
2011
On the least point of the spectrum of certain cooperative linear systems with a large parameter. Zbl 1206.35184
Dancer, E. N.
2011
Asymptotic behavior of the least energy solution of a problem with competing powers. Zbl 1232.35073
Dancer, E. N.; Santra, Sanjiban; Wei, Juncheng
2011
Competition systems with strong interaction on a subdomain. Zbl 1234.35091
Crooks, Elaine C. M.; Dancer, E. Norman
2011
Finite Morse index and linearized stable solutions on bounded and unbounded domains. Zbl 1243.35062
Dancer, E. N.
2011
A Liouville theorem, a-priori bounds, and bifurcating branches of positive solutions for a nonlinear elliptic system. Zbl 1189.35074
Bartsch, Thomas; Dancer, Norman; Wang, Zhi-Qiang
2010
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
Singular perturbed problems in the zero mass case: asymptotic behavior of spikes. Zbl 1189.35061
Dancer, E. N.; Santra, Sanjiban
2010
Highly nonlinear large-competition limits of elliptic systems. Zbl 1196.35215
Crooks, E. C. M.; Dancer, E. N.
2010
Proofs of the results in “Boundary-value problems for weakly nonlinear ordinary differential equations”. Zbl 1222.34043
Dancer, Edward Norman
2010
New results for finite Morse index solutions on $$\mathbb{R}^N$$ and applications. Zbl 1216.35050
Dancer, E. N.
2010
Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. Zbl 1163.35034
Dancer, E. N.; Wei, Juncheng
2009
On the classification of solutions of $$-\Delta u= e^u$$ on $$\mathbb {R}^N$$: Stability outside a compact set and applications. Zbl 1162.35027
Dancer, E. N.; Farina, Alberto
2009
Multipeak solutions for some singularly perturbed nonlinear elliptic problems on Riemannian manifolds. Zbl 1159.58012
Dancer, E. N.; Micheletti, A. M.; Pistoia, A.
2009
Some remarks on half space problems. Zbl 1178.35177
Dancer, E. N.
2009
On the principal eigenvalue of linear cooperating elliptic systems with small diffusion. Zbl 1239.35103
Dancer, E. N.
2009
Poincaré-Hopf type formulas on convex sets of Banach spaces. Zbl 1196.37034
Bartsch, Thomas; Dancer, Norman
2009
Peak solutions without non-degeneracy conditions. Zbl 1197.35121
Dancer, E. N.
2009
A Conley index calculation. Zbl 1181.35137
Dancer, E. N.
2009
Peak solutions for the Dirichlet problem of an elliptic system. Zbl 1178.35365
Dancer, Edward N.; Hilhorst, Danielle; Yan, Shusen
2009
Stable and finite Morse index solutions for Dirichlet problems with small diffusion in a degenerate case and problems with infinite boundary values. Zbl 1183.35149
Dancer, E. N.
2009
Finite Morse index solutions of supercritical problems. Zbl 1158.35013
Dancer, E. N.
2008
Finite Morse index solutions of exponential problems. Zbl 1136.35030
Dancer, E. N.
2008
The Lazer-McKenna conjecture and a free boundary problem in two dimensions. Zbl 1202.35088
Dancer, E. N.; Yan, Shusen
2008
Moving plane methods for systems on half spaces. Zbl 1154.35030
Dancer, E. N.
2008
On the Lazar-McKenna conjecture involving critical and supercritical exponents. Zbl 1179.35139
Dancer, E. N.; Yan, Shusen
2008
A new type of concentration solutions for a singularly perturbed elliptic problem. Zbl 1193.35072
Dancer, E. N.; Yan, Shusen
2007
Sign-changing solutions for supercritical elliptic problems in domains with small holes. Zbl 1387.35284
Dancer, E. N.; Wei, Juncheng
2007
Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions. Zbl 1139.35049
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.
2007
On the superlinear Lazer-McKenna conjecture: the non-homogeneous case. Zbl 1162.35037
Dancer, E. N.; Santra, Sanjiban
2007
On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Zbl 1146.35014
Crooks, Elaine C. M.; Dancer, E. Norman; Hilhorst, Danielle
2007
Conley indices on convex sets, attractor-repeller pairs and applications to multiple solutions of nonlinear elliptic equations. Zbl 1169.35023
Dancer, E. N.
2007
Supercritical finite Morse index solutions. Zbl 1387.58015
Dancer, E. N.
2007
On multiple radial solutions of a singularly perturbed nonlinear elliptic system. Zbl 1135.35028
Dancer, Edward Norman; Ren, Xiaofeng; Yan, Shusen
2007
Remarks on the existence of many solutions of certain nonlinear elliptic equations. Zbl 1182.35106
Dancer, E. N.; Yan, Shusen
2007
On multi-bump semi-classical bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1146.35081
Bartsch, Thomas; Dancer, E. Norman; Peng, Shuangjie
2006
Uniqueness and nonexistence of positive solutions to semipositone problems. Zbl 1194.35164
Dancer, E. Norman; Shi, Junping
2006
Solutions with interior and boundary peaks for the Neumann problem of an elliptic system of FitzHugh-Nagumo type. Zbl 1186.35053
Dancer, E. N.; Yan, Shusen
2006
Stable and not too unstable solutions on $$\mathbb R^n$$ for small diffusion. Zbl 1259.35104
Dancer, Norman
2006
Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type. Zbl 1260.35042
Dancer, E. N.; Yan, Shusen
2006
A uniqueness theorem for a free boundary problem. Zbl 1168.35450
Dancer, E. N.; Du, Yihong
2006
Interior peak solutions for an elliptic system of FitzHugh-Nagumo type. Zbl 1142.35393
Dancer, E. N.; Yan, Shusen
2006
Stable and finite Morse index solutions on $$\mathbb R^n$$ or on bounded domains with small diffusion. Zbl 1145.35369
Dancer, E. N.
2005
On the superlinear Lazer-McKenna conjecture. Zbl 1190.35082
Dancer, E. N.; Yan, Shusen
2005
On the superlinear Lazer-McKenna conjecture. II. Zbl 1330.35147
Dancer, E. N.; Yan, Shusen
2005
Classification of homotopy classes of equivariant gradient maps. Zbl 1086.47031
Dancer, E. N.; Gȩba, K.; Rybicki, S. M.
2005
Multipeak solutions for the Neumann problem of an elliptic system of FitzHugh-Nagumo type. Zbl 1172.35402
Dancer, E. N.; Yan, Shusen
2005
Remarks on nonlinear elliptic problems on long domains. Zbl 1177.35070
Dancer, E. N.
2005
Critical point, anti-maximum principle and semipositone $$p$$-Laplacian problems. Zbl 1144.35384
Dancer, E. N.; Zhang, Zhitao
2005
Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions. Zbl 1079.35008
Crooks, E. C. M.; Dancer, E. N.; Hilhorst, D.; Mimura, M.; Ninomiya, H.
2004
Construction of various types of solutions for an elliptic problem. Zbl 1154.35348
Dancer, E. N.; Yan, Shusen
2004
A minimization problem associated with elliptic systems of FitzHugh–Nagumo type. Zbl 1110.35019
Dancer, E. N.; Yan, Shusen
2004
Stable and finite Morse index solutions on $$\mathbb R^n$$ or on bounded domains with small diffusion. II. Zbl 1183.35125
Dancer, E. N.
2004
Stable solutions on $$\mathbb R^n$$ and the primary branch of some non-self-adjoint convex problems. Zbl 1150.35357
Dancer, E. N.
2004
On connecting orbits for competing species equations with large interactions. Zbl 1065.35070
Dancer, E. Norman
2004
Real analyticity and non-degeneracy. Zbl 1040.35033
Dancer, E. N.
2003
Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038
Dancer, E. N.; Du, Yihong
2003
Multi-layer solutions for an elliptic problem. Zbl 1109.35042
Dancer, E. N.; Yan, Shusen
2003
On a free boundary problem arising from population biology. Zbl 1022.92025
Dancer, E. N.; Du, Yihong
2003
Some mountain-pass solutions for small diffusion. Zbl 1030.35074
Dancer, E. N.
2003
Asymptotic behavior of positive solutions of some elliptic problems. Zbl 1094.35045
Dancer, E. N.; Du, Yihong; Ma, Li
2003
Peak solutions for an elliptic system of FitzHugh-Nagumo type. Zbl 1115.35039
Dancer, Edward Norman; Yan, Shusen
2003
Some near critical problems. Zbl 1290.35091
Dancer, E. N.
2003
Bifurcation from simple eigenvalues and eigenvalues of geometric multiplicity one. Zbl 1027.58009
Dancer, E. N.
2002
Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046
Dancer, E. N.; Du, Yihong
2002
Dynamics of Lotka-Volterra competition systems with large interaction. Zbl 1006.35047
Dancer, E. N.; Zhang, Zhitao
2002
Multibump solutions for an elliptic problem in expanding domains. Zbl 1011.35059
Dancer, E. N.; Yan, Shusen
2002
On the profile of the changing sign mountain pass solutions for an elliptic problem. Zbl 1109.35041
Dancer, E. N.; Yan, Shusen
2002
Uniqueness and generic non-degeneracy on strips. Zbl 1263.35103
Dancer, E. N.
2002
Spatial independence of invariant sets of parabolic systems. Zbl 1042.35015
Dancer, E. N.; Huang, Qingguang
2002
Some results for jumping nonlinearities. Zbl 1213.35090
Dancer, E. Norman
2002
Some remarks on the Fučík spectrum of the $$p$$-Laplacian and critical groups. Zbl 0970.35056
Dancer, Norman; Perera, Kanishka
2001
On stability and Hopf bifurcations for chemotaxis systems. Zbl 1010.92010
Dancer, E. N.
2001
New solutions of equations on $$\mathbb{R}^n$$. Zbl 1025.35009
Dancer, Edward Norman
2001
On the symmetry and uniqueness of solutions of the Ginzburg-Landau equations for small domains. Zbl 1066.35005
Aftalion, A.; Dancer, E. N.
2001
On the resonance set in a fourth-order equation with jumping nonlinearity. Zbl 1022.35011
Campos, Juan; Dancer, Edward Norman
2001
The effect of the graph topology on the existence of multipeak solutions for nonlinear Schrödinger equations. Zbl 1192.35077
Dancer, E. N.; Lam, Kee Y.; Yan, Shusen
2001
The sub-harmonic bifurcation of Stokes waves. Zbl 0962.76012
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
The regularity and local bifurcation of steady periodic water waves. Zbl 0959.76010
Buffoni, B.; Dancer, E. N.; Toland, J. F.
2000
Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity. Zbl 0974.35028
Dancer, E. N.; Zhang, Zhitao
2000
A note on asymptotic uniqueness for some nonlinearities which change sign. Zbl 0945.35031
Dancer, E. N.
2000
On the existence of multipeak solutions for nonlinear field equations on $$\mathbb R^N$$. Zbl 1157.35367
Dancer, E. N.; Yan, Shusen
2000
Uniqueness of solutions for some elliptic equations and systems in nearly star-shaped domains. Zbl 0960.35035
Dancer, E. Norman; Zhang, Kewei
2000
Infinitely many turning points for some supercritical problems. Zbl 1030.35073
Dancer, E. N.
2000
...and 122 more Documents
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### Cited by 1,969 Authors

 93 Dancer, Edward Norman 91 Wei, Juncheng 37 Du, Yihong 37 Guo, Zongming 36 López-Gómez, Julián 34 Wu, Jianhua 33 Yan, Shusen 33 Zhang, Zhitao 32 Wang, Zhi-Qiang 32 Zou, Wenming 29 Shi, Junping 28 Papageorgiou, Nikolaos S. 25 Ma, Ruyun 24 Passaseo, Donato 24 Peng, Shuangjie 24 Wong, Patricia J. Y. 23 Agarwal, Ravi P. 23 Byeon, Jaeyoung 22 Pistoia, Angela 22 Terracini, Susanna 21 Farina, Alberto 21 Winter, Matthias 20 Zanolin, Fabio 19 Dai, Guowei 19 Rybicki, Sławomir Maciej 19 Wang, Kelei 18 Liu, Zhaoli 18 Molle, Riccardo 18 Rynne, Bryan P. 17 Pacella, Filomena 17 Poláčik, Peter 17 Wang, Mingxin 16 Malchiodi, Andrea 16 Musso, Monica 16 Tang, Zhongwei 15 Bartsch, Thomas J. 15 Cao, Daomin 15 García-Melián, Jorge 15 Grossi, Massimo 15 Li, Shujie 15 Nie, Hua 15 Shivaji, Ratnasingham 15 Weth, Tobias 14 Omari, Pierpaolo 14 Verzini, Gianmaria 13 D’Aprile, Teresa 13 Fonda, Alessandro 13 Hirano, Norimichi 13 Korman, Philip L. 13 Li, Shanbing 13 McKenna, Patrick Joseph 12 Daners, Daniel 12 Gladiali, Francesca 12 Micheletti, Anna Maria 12 Tavares, Hugo 12 Zhou, Jun 11 Clapp, Mónica 11 Del Pino, Manuel A. 11 Drábek, Pavel 11 Guo, Yuxia 11 Lou, Yuan 11 Mahmoudi, Fethi 11 Ruf, Bernhard 11 Sourdis, Christos 10 Ahn, Inkyung 10 Cantrell, Robert Stephen 10 Ko, Wonlyul 10 Miyamoto, Yasuhito 10 O’Regan, Donal 10 Peng, Rui 10 Ryu, Kimun 10 Schechter, Martin 10 Soave, Nicola 9 Berestycki, Henri 9 Dong, Yaying 9 Jia, Yunfeng 9 Li, Yi 9 Lu, Yanqiong 9 Mawhin, Jean L. 9 Mei, Linfeng 9 Montoro, Luigi 9 Motreanu, Dumitru 9 Quaas, Alexander 9 Sciunzi, Berardino 9 Sirakov, Boyan Slavchev 9 Toland, John Francis 9 Zilio, Alessandro 8 Guedes de Figueiredo, Djairo 8 Harrabi, Abdellaziz 8 Hilhorst, Danielle 8 Jiang, Jifa 8 Krawcewicz, Wieslaw Z. 8 Kučera, Milan 8 Kuto, Kousuke 8 Lee, Youngae 8 Ortega, Rafael 8 Sun, Jingxian 8 Tanaka, Kazunaga 8 Tanaka, Mieko 8 Wang, Jun ...and 1,869 more Authors
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### Cited in 266 Serials

 312 Journal of Differential Equations 190 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 185 Journal of Mathematical Analysis and Applications 108 Nonlinear Analysis. Theory, Methods & Applications 106 Calculus of Variations and Partial Differential Equations 62 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 57 Discrete and Continuous Dynamical Systems 51 Journal of Functional Analysis 49 Transactions of the American Mathematical Society 45 Archive for Rational Mechanics and Analysis 44 Proceedings of the American Mathematical Society 44 Communications in Partial Differential Equations 43 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 39 Nonlinear Analysis. Real World Applications 36 Communications on Pure and Applied Analysis 35 NoDEA. Nonlinear Differential Equations and Applications 32 Discrete and Continuous Dynamical Systems. Series B 31 Advanced Nonlinear Studies 29 Applicable Analysis 27 Annali di Matematica Pura ed Applicata. Serie Quarta 27 Communications in Contemporary Mathematics 27 Boundary Value Problems 26 Computers & Mathematics with Applications 26 Mathematische Annalen 25 Applied Mathematics and Computation 25 Applied Mathematics Letters 24 Journal of Fixed Point Theory and Applications 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Journal of Dynamics and Differential Equations 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Journal of Mathematical Biology 16 Advances in Mathematics 15 Acta Mathematica Sinica. English Series 14 Communications in Mathematical Physics 14 Journal of Computational and Applied Mathematics 14 Manuscripta Mathematica 14 Acta Applicandae Mathematicae 14 Science China. Mathematics 14 Advances in Nonlinear Analysis 13 Bulletin of the Australian Mathematical Society 13 Rocky Mountain Journal of Mathematics 13 Topological Methods in Nonlinear Analysis 13 Complex Variables and Elliptic Equations 12 Journal of Mathematical Physics 12 Acta Mathematicae Applicatae Sinica. English Series 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Nonlinearity 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 11 Journal of Mathematical Sciences (New York) 11 Abstract and Applied Analysis 10 Mathematical Methods in the Applied Sciences 10 Mathematische Nachrichten 10 Monatshefte für Mathematik 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Mediterranean Journal of Mathematics 10 Electronic Research Archive 9 Journal d’Analyse Mathématique 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 SIAM Journal on Mathematical Analysis 9 Journal of the European Mathematical Society (JEMS) 8 Czechoslovak Mathematical Journal 8 Mathematische Zeitschrift 8 Physica D 7 Mathematical and Computer Modelling 7 Japan Journal of Industrial and Applied Mathematics 7 Discrete Dynamics in Nature and Society 7 Milan Journal of Mathematics 7 Advances in Difference Equations 6 Communications on Pure and Applied Mathematics 6 Glasgow Mathematical Journal 6 Zeitschrift für Analysis und ihre Anwendungen 6 Science in China. Series A 6 European Journal of Applied Mathematics 6 The Journal of Geometric Analysis 6 Journal of Nonlinear Science 6 Electronic Journal of Differential Equations (EJDE) 5 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Archiv der Mathematik 5 Memoirs of the American Mathematical Society 5 Topology and its Applications 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Positivity 5 Journal of Dynamical and Control Systems 5 Annales Henri Poincaré 5 Discrete and Continuous Dynamical Systems. Series S 4 Mathematical Biosciences 4 Duke Mathematical Journal 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Results in Mathematics 4 Applied Mathematics and Mechanics. (English Edition) 4 Chinese Annals of Mathematics. Series B 4 Asymptotic Analysis 4 Bulletin des Sciences Mathématiques 4 Journal of Inequalities and Applications 4 Journal of Evolution Equations 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 International Journal of Differential Equations 4 Journal of Function Spaces 3 Israel Journal of Mathematics ...and 166 more Serials
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### Cited in 46 Fields

 2,045 Partial differential equations (35-XX) 422 Ordinary differential equations (34-XX) 359 Biology and other natural sciences (92-XX) 305 Operator theory (47-XX) 264 Global analysis, analysis on manifolds (58-XX) 171 Dynamical systems and ergodic theory (37-XX) 76 Fluid mechanics (76-XX) 71 Calculus of variations and optimal control; optimization (49-XX) 48 Numerical analysis (65-XX) 40 Difference and functional equations (39-XX) 36 Quantum theory (81-XX) 33 Statistical mechanics, structure of matter (82-XX) 32 Algebraic topology (55-XX) 30 Functional analysis (46-XX) 27 Mechanics of deformable solids (74-XX) 23 Integral equations (45-XX) 22 General topology (54-XX) 21 Differential geometry (53-XX) 20 Classical thermodynamics, heat transfer (80-XX) 18 Optics, electromagnetic theory (78-XX) 15 Mechanics of particles and systems (70-XX) 11 Systems theory; control (93-XX) 10 Manifolds and cell complexes (57-XX) 8 Potential theory (31-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX)