Frank Pacard

2.4k total citations
57 papers, 1.2k citations indexed

About

Frank Pacard is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Frank Pacard has authored 57 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Applied Mathematics, 37 papers in Geometry and Topology and 19 papers in Computational Theory and Mathematics. Recurrent topics in Frank Pacard's work include Geometric Analysis and Curvature Flows (32 papers), Nonlinear Partial Differential Equations (28 papers) and Geometry and complex manifolds (22 papers). Frank Pacard is often cited by papers focused on Geometric Analysis and Curvature Flows (32 papers), Nonlinear Partial Differential Equations (28 papers) and Geometry and complex manifolds (22 papers). Frank Pacard collaborates with scholars based in France, Chile and United States. Frank Pacard's co-authors include Rafe Mazzeo, Sami Baraket, Manuel del Pino, Michał Kowalczyk, Juncheng Wei, Manuel Ritoré, Claudio Arezzo, Monica Musso, Jean‐Philippe Chancelier and Xingwang Xu and has published in prestigious journals such as Water Research, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Frank Pacard

55 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Frank Pacard France 20 1.1k 557 373 335 95 57 1.2k
Marc Troyanov Switzerland 14 580 0.6× 150 0.3× 452 1.2× 205 0.6× 122 1.3× 73 872
Claus Gerhardt Germany 18 698 0.7× 219 0.4× 309 0.8× 127 0.4× 192 2.0× 41 818
Tianqing An China 16 412 0.4× 162 0.3× 69 0.2× 107 0.3× 5 0.1× 77 868
Adimurthi India 24 1.9k 1.8× 1.2k 2.2× 78 0.2× 819 2.4× 29 0.3× 76 2.0k
Bohumı́r Opic Czechia 20 1.6k 1.5× 353 0.6× 92 0.2× 760 2.3× 22 0.2× 69 1.7k
Daniel Coutand United States 14 768 0.7× 239 0.4× 25 0.1× 470 1.4× 35 0.4× 26 1.0k
Atusi Tani Japan 16 564 0.5× 167 0.3× 16 0.0× 430 1.3× 15 0.2× 45 792
Jinkai Li China 18 765 0.7× 66 0.1× 100 0.3× 526 1.6× 38 0.4× 57 958
Dragoş Iftimie France 16 1.2k 1.1× 212 0.4× 24 0.1× 781 2.3× 24 0.3× 37 1.3k
Francisco Gancedo Spain 18 790 0.8× 230 0.4× 14 0.0× 501 1.5× 13 0.1× 43 937

Countries citing papers authored by Frank Pacard

Since Specialization
Citations

This map shows the geographic impact of Frank Pacard'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 Frank Pacard with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frank Pacard more than expected).

Fields of papers citing papers by Frank Pacard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank Pacard. 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 Frank Pacard. The network helps show where Frank Pacard may publish in the future.

Co-authorship network of co-authors of Frank Pacard

This figure shows the co-authorship network connecting the top 25 collaborators of Frank Pacard. A scholar is included among the top collaborators of Frank Pacard 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 Frank Pacard. Frank Pacard 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.
Kowalczyk, Michał, et al.. (2014). Multiple end solutions to the Allen-Cahn equation in $\mathbb{R}^2$. French digital mathematics library (Numdam). 7(4). 1–19. 1 indexed citations
2.
Pino, Manuel del, Michał Kowalczyk, & Frank Pacard. (2012). Moduli space theory for the Allen-Cahn equation in the plane. Transactions of the American Mathematical Society. 365(2). 721–766. 17 indexed citations
3.
Kowalczyk, Michał, et al.. (2012). Towards classification of multiple-end solutions to the Allen-Cahn equation in $\mathbb{R}^2$. Networks and Heterogeneous Media. 7(4). 837–855. 4 indexed citations
4.
Pacard, Frank & Juncheng Wei. (2012). Stable solutions of the Allen–Cahn equation in dimension 8 and minimal cones. Journal of Functional Analysis. 264(5). 1131–1167. 27 indexed citations
5.
Pacard, Frank, et al.. (2011). FOUR-END SOLUTIONS TO THE ALLEN-CAHN EQUATION ON THE PLANE. arXiv (Cornell University). 8 indexed citations
6.
Pino, Manuel del, Monica Musso, & Frank Pacard. (2010). Bubbling along boundary geodesics near the second critical exponent. Journal of the European Mathematical Society. 12(6). 1553–1605. 26 indexed citations
7.
Pino, Manuel del, Michał Kowalczyk, Frank Pacard, & Juncheng Wei. (2010). The Toda system and multiple-end solutions of autonomous planar elliptic problems. Advances in Mathematics. 224(4). 1462–1516. 34 indexed citations
8.
Pino, Manuel del, Michał Kowalczyk, Frank Pacard, & Juncheng Wei. (2009). Multiple-end solutions to the Allen–Cahn equation in R2. Journal of Functional Analysis. 258(2). 458–503. 64 indexed citations
9.
Chruściel, Piotr T., Frank Pacard, & Daniel Pollack. (2009). Singular Yamabe metrics and initial data with \emph{exactly} Kottler–Schwarzschild–de Sitter ends II. Generic metrics. Mathematical Research Letters. 16(1). 157–164. 8 indexed citations
10.
Pacard, Frank, et al.. (2009). Extremal domains for the first eigenvalue of the Laplace-Beltrami operator. Annales de l’institut Fourier. 59(2). 515–542. 16 indexed citations
11.
Pino, Manuel del, Monica Musso, & Frank Pacard. (2007). Boundary singularities for weak solutions of semilinear elliptic problems. J. Funct. Anal. PORTO Publications Open Repository TOrino (Politecnico di Torino). 3 indexed citations
12.
Pino, Manuel del, Monica Musso, & Frank Pacard. (2007). Boundary singularities for weak solutions of semilinear elliptic problems. Journal of Functional Analysis. 253(1). 241–272. 20 indexed citations
13.
Mazzeo, Rafe & Frank Pacard. (2005). Maskit combinations of Poincaré–Einstein metrics. Advances in Mathematics. 204(2). 379–412. 16 indexed citations
14.
Pacard, Frank & Manuel Ritoré. (2003). From Constant mean Curvature Hypersurfaces to the Gradient Theory\n of Phase Transitions. Project Euclid (Cornell University). 75 indexed citations
15.
Mazzeo, Rafe & Frank Pacard. (2003). Poincaré–Einstein metrics and the Schouten tensor. Pacific Journal of Mathematics. 212(1). 169–185. 7 indexed citations
16.
Pacard, Frank. (2002). Higher-dimensional Scherk's hypersurfaces. Journal de Mathématiques Pures et Appliquées. 81(3). 241–258. 2 indexed citations
17.
Mazzeo, Rafe, Frank Pacard, & Daniel Pollack. (2001). Connected sums of constant mean curvature surfaces in Euclidean 3 space. Journal für die reine und angewandte Mathematik (Crelles Journal). 2001(536). 32 indexed citations
18.
Pacard, Frank. (1995). The Yamabe problem on subdomains of even-dimensional spheres. Topological Methods in Nonlinear Analysis. 6(1). 137–137. 12 indexed citations
19.
Chancelier, Jean‐Philippe, et al.. (1994). Analysis of a Conservation PDE With Discontinuous Flux: A Model of Settler. SIAM Journal on Applied Mathematics. 54(4). 954–995. 49 indexed citations
20.
Pacard, Frank. (1993). Radial and Non-radial Solutions of −Δu = λƒ(u), on an Annulus of Rn, n ≥ 3. Journal of Differential Equations. 101(1). 103–138. 15 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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