E. N. Dancer

8.4k total citations
216 papers, 6.0k citations indexed

About

E. N. Dancer is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, E. N. Dancer has authored 216 papers receiving a total of 6.0k indexed citations (citations by other indexed papers that have themselves been cited), including 166 papers in Applied Mathematics, 126 papers in Computational Theory and Mathematics and 66 papers in Numerical Analysis. Recurrent topics in E. N. Dancer's work include Nonlinear Partial Differential Equations (121 papers), Advanced Mathematical Modeling in Engineering (117 papers) and Nonlinear Differential Equations Analysis (60 papers). E. N. Dancer is often cited by papers focused on Nonlinear Partial Differential Equations (121 papers), Advanced Mathematical Modeling in Engineering (117 papers) and Nonlinear Differential Equations Analysis (60 papers). E. N. Dancer collaborates with scholars based in Australia, United States and United Kingdom. E. N. Dancer's co-authors include Shusen Yan, Yihong Du, Juncheng Wei, Thomas Bartsch, Zhi-Qiang Wang, Zhitao Zhang, John Toland, Klaus Schmitt, Kelei Wang and B. Buffoni and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

E. N. Dancer

210 papers receiving 5.2k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
E. N. Dancer Australia 42 4.3k 3.1k 1.8k 1.2k 1.0k 216 6.0k
A. C. Lazer United States 35 2.9k 0.7× 1.8k 0.6× 805 0.4× 1.2k 1.0× 646 0.6× 92 4.2k
Jean Mawhin Belgium 39 6.6k 1.5× 2.9k 0.9× 1.5k 0.8× 3.1k 2.7× 768 0.7× 239 8.4k
Rainer Nagel Germany 18 2.2k 0.5× 1.7k 0.5× 2.1k 1.1× 580 0.5× 364 0.4× 53 4.5k
Chang‐Shou Lin Taiwan 36 3.5k 0.8× 2.2k 0.7× 2.1k 1.2× 339 0.3× 275 0.3× 205 4.8k
Jerome A. Goldstein United States 27 2.0k 0.5× 1.6k 0.5× 1.8k 1.0× 580 0.5× 287 0.3× 181 3.8k
Paul H. Rabinowitz United States 39 9.8k 2.3× 6.5k 2.1× 4.3k 2.4× 2.3k 2.0× 1.3k 1.2× 119 13.6k
C. V. Pao United States 31 1.8k 0.4× 1.3k 0.4× 638 0.3× 1.6k 1.4× 1.5k 1.5× 146 4.3k
Murray H. Protter United States 20 1.7k 0.4× 1.4k 0.4× 1.0k 0.6× 599 0.5× 516 0.5× 55 3.5k
Julio D. Rossi Spain 32 2.9k 0.7× 2.3k 0.8× 1.2k 0.6× 640 0.6× 385 0.4× 219 3.9k
Alessandra Lunardi Italy 21 2.0k 0.5× 1.6k 0.5× 1.2k 0.7× 516 0.4× 231 0.2× 81 3.3k

Countries citing papers authored by E. N. Dancer

Since Specialization
Citations

This map shows the geographic impact of E. N. Dancer's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by E. N. Dancer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites E. N. Dancer more than expected).

Fields of papers citing papers by E. N. Dancer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by E. N. Dancer. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by E. N. Dancer. The network helps show where E. N. Dancer may publish in the future.

Co-authorship network of co-authors of E. N. Dancer

This figure shows the co-authorship network connecting the top 25 collaborators of E. N. Dancer. A scholar is included among the top collaborators of E. N. Dancer based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with E. N. Dancer. E. N. Dancer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Dancer, E. N., Francesca Gladiali, & Massimo Grossi. (2017). On the Hardy–Sobolev equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 147(2). 299–336. 13 indexed citations
2.
Dancer, E. N., Kelei Wang, & Zhitao Zhang. (2012). Addendum to “The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture” [J. Funct. Anal. 262 (3) (2012) 1087–1131]. Journal of Functional Analysis. 264(4). 1125–1129. 8 indexed citations
3.
Crooks, Elaine & E. N. Dancer. (2011). Competition systems with strong interaction on a subdomain. Topological Methods in Nonlinear Analysis. 37(1). 37–53. 1 indexed citations
4.
Dancer, E. N., Kelei Wang, & Zhitao Zhang. (2011). Uniform Hölder estimate for singularly perturbed parabolic systems of Bose–Einstein condensates and competing species. Journal of Differential Equations. 251(10). 2737–2769. 39 indexed citations
5.
Dancer, E. N., Kelei Wang, & Zhitao Zhang. (2011). The limit equation for the Gross–Pitaevskii equations and S. Terraciniʼs conjecture. Journal of Functional Analysis. 262(3). 1087–1131. 45 indexed citations
6.
Dancer, E. N. & Shusen Yan. (2007). Remarks on the Existence of Many Solutions of Certain Nonlinear Elliptic Equations. RUNE (Research UNE). 10(3). 1013–1023. 1 indexed citations
7.
Crooks, Elaine, E. N. Dancer, & Danielle Hilhorst. (2007). On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions. Topological Methods in Nonlinear Analysis. 30(1). 1–36. 16 indexed citations
8.
Dancer, E. N. & Shusen Yan. (2006). Interior peak solutions for an elliptic system of FitzHugh–Nagumo type. Journal of Differential Equations. 229(2). 654–679. 4 indexed citations
9.
Dancer, E. N. & Shusen Yan. (2003). Peak solutions for an elliptic system of FitzHugh-Nagumo type. French digital mathematics library (Numdam). 2(4). 679–709. 9 indexed citations
10.
Dancer, E. N.. (2001). New solutions of equations on $\mathbb {R}^n$. French digital mathematics library (Numdam). 30(3). 535–563. 32 indexed citations
11.
Dancer, E. N. & Juncheng Wei. (1999). On the Location of Spikes of Solutions with Two Sharp Layers for a Singularly Perturbed Semilinear Dirichlet Problem. Journal of Differential Equations. 157(1). 82–101. 28 indexed citations
12.
Dancer, E. N. & Yihong Du. (1997). A Note on Multiple Solutions of Some Semilinear Elliptic Problems. Journal of Mathematical Analysis and Applications. 211(2). 626–640. 26 indexed citations
13.
Dancer, E. N. & P. Hess. (1994). The symmetry of positive solutions of periodic-parabolic problems. Journal of Computational and Applied Mathematics. 52(1-3). 81–89. 11 indexed citations
14.
Church, P. T., E. N. Dancer, & J. G. Timourian. (1993). The structure of a nonlinear elliptic operator. Transactions of the American Mathematical Society. 338(1). 1–42. 12 indexed citations
15.
Dancer, E. N.. (1991). On the existence of two-dimensional invariant tori for scalar parabolic equations with time periodic coefficients. French digital mathematics library (Numdam). 18(3). 455–471. 4 indexed citations
16.
Dancer, E. N.. (1988). The effect of domain shape on the number of positive solutions of certain nonlinear equations. Journal of Differential Equations. 74(1). 120–156. 140 indexed citations
17.
Dancer, E. N. & Klaus Schmitt. (1987). On positive solutions of semilinear elliptic equations. Proceedings of the American Mathematical Society. 101(3). 445–452. 87 indexed citations
18.
Dancer, E. N. & P. Hess. (1987). On stable solutions of quasilinear periodic-parabolic problems. French digital mathematics library (Numdam). 14(1). 123–141. 21 indexed citations
19.
Dancer, E. N.. (1985). On positive solutions of some pairs of differential equations, II. Journal of Differential Equations. 60(2). 236–258. 99 indexed citations
20.
Dancer, E. N.. (1980). On the structure of solutions of an equation in catalysis theory when a parameter is large. Journal of Differential Equations. 37(3). 404–437. 90 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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