Philippe Souplet

5.2k total citations · 1 hit paper
103 papers, 3.5k citations indexed

About

Philippe Souplet is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Philippe Souplet has authored 103 papers receiving a total of 3.5k indexed citations (citations by other indexed papers that have themselves been cited), including 85 papers in Applied Mathematics, 57 papers in Computational Theory and Mathematics and 42 papers in Mathematical Physics. Recurrent topics in Philippe Souplet's work include Nonlinear Partial Differential Equations (74 papers), Advanced Mathematical Modeling in Engineering (56 papers) and Stability and Controllability of Differential Equations (37 papers). Philippe Souplet is often cited by papers focused on Nonlinear Partial Differential Equations (74 papers), Advanced Mathematical Modeling in Engineering (56 papers) and Stability and Controllability of Differential Equations (37 papers). Philippe Souplet collaborates with scholars based in France, Slovakia and United States. Philippe Souplet's co-authors include Pavol Quíttner, Fred B. Weissler, Noriko Mizoguchi, Peter Poláčik, Qi S. Zhang, Марек Фила, Slim Tayachi, Jong‐Shenq Guo, Matania Ben‐Artzi and Julio D. Rossi and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Philippe Souplet

97 papers receiving 3.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

2007 552 citations Pavol Quíttner, Philippe Souplet profile →

Peers

Philippe Souplet

AM

CTM

MP

CSE

MS

Pavol Quíttner Slovakia

Jingxue Yin China

Alexandre N. Carvalho Brazil

Chunlai Mu China

Lucio Boccardo Italy

Hatem Zaag France

Hermann Sohr Germany

Noriko Mizoguchi Japan

Konrad Gröger Germany

Peter Poláčik United States

Pavol Quíttner Slovakia

Philippe Souplet

1.5k ×0.6

AM

1.2k ×0.6

CTM

765 ×0.6

MP

701 ×0.7

CSE

179 ×0.3

MS

Citations per year, relative to Philippe Souplet Philippe Souplet (= 1×) peers Pavol Quíttner

Countries citing papers authored by Philippe Souplet

Since Specialization

Citations

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

Fields of papers citing papers by Philippe Souplet

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Philippe Souplet

This figure shows the co-authorship network connecting the top 25 collaborators of Philippe Souplet. A scholar is included among the top collaborators of Philippe Souplet 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 Philippe Souplet. Philippe Souplet is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Quíttner, Pavol & Philippe Souplet. (2025). Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance. Journal of Differential Equations. 427. 404–441.

2.

Souplet, Philippe, et al.. (2025). A Liouville theorem for the Lane-Emden system in the half-space. Journal of Functional Analysis. 289(10). 111107–111107.

3.

Souplet, Philippe, et al.. (2024). Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity. Mathematische Annalen. 391(3). 4509–4554. 2 indexed citations

4.

Souplet, Philippe, et al.. (2019). Gradient blow-up rates and sharp gradient estimates for diffusive\n Hamilton-Jacobi equations. arXiv (Cornell University). 8 indexed citations

5.

Porretta, Alessio & Philippe Souplet. (2018). Blow-up and regularization rates, loss and recovery of boundary\n conditions for the superquadratic viscous Hamilton-Jacobi equation. arXiv (Cornell University). 12 indexed citations

6.

Guo, Jong‐Shenq & Philippe Souplet. (2018). Excluding blowup at zero points of the potential by means of Liouville-type theorems. Journal of Differential Equations. 265(10). 4942–4964. 9 indexed citations

7.

Souplet, Philippe. (2016). Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in Rn. Journal of Functional Analysis. 272(5). 2005–2037. 17 indexed citations

8.

Porretta, Alessio & Philippe Souplet. (2015). The profile of boundary gradient blow-up for the diffusive\n Hamilton-Jacobi equation. arXiv (Cornell University). 12 indexed citations

9.

Souplet, Philippe & Noriko Mizoguchi. (2013). Nondegeneracy of blow-up points for the parabolic Keller–Segel system. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 31(4). 851–875. 207 indexed citations

10.

Souplet, Philippe. (2009). The proof of the Lane–Emden conjecture in four space dimensions. Advances in Mathematics. 221(5). 1409–1427. 142 indexed citations

11.

Souplet, Philippe. (2008). An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source. Journal of Differential Equations. 246(10). 3980–4005. 8 indexed citations

12.

Souplet, Philippe & Slim Tayachi. (2004). Optimal condition for non-simultaneous blow-up in a reaction-diffusion system. Journal of the Mathematical Society of Japan. 56(2). 49 indexed citations

13.

Quíttner, Pavol & Philippe Souplet. (2002). Global existence from single-component 𝐿_{𝑝} estimates in a semilinear reaction-diffusion system. Proceedings of the American Mathematical Society. 130(9). 2719–2724. 5 indexed citations

14.

Souplet, Philippe. (2001). Recent results and open problems on parabolic equations with gradient nonlinearities.. SHILAP Revista de lepidopterología. 2001. 51 indexed citations

15.

Souplet, Philippe. (2000). BLOW-UP BEHAVIOR IN NONLOCAL VS LOCAL HEAT EQUATIONS. Banach Center Publications. 52(1). 221–226. 3 indexed citations

16.

Souplet, Philippe. (2000). Decay of Heat Semigroups in L∞ and Applications to Nonlinear Parabolic Problems in Unbounded Domains. Journal of Functional Analysis. 173(2). 343–360. 13 indexed citations

17.

Souplet, Philippe. (1999). Sharp stability estimates for quasi-autonomous evolution equations of hyperbolic type. Quarterly of Applied Mathematics. 57(1). 55–85. 1 indexed citations

18.

Souplet, Philippe. (1999). Uniform Blow-Up Profiles and Boundary Behavior for Diffusion Equations with Nonlocal Nonlinear Source. Journal of Differential Equations. 153(2). 374–406. 183 indexed citations

19.

Souplet, Philippe & Fred B. Weissler. (1997). Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations. Journal of Mathematical Analysis and Applications. 212(1). 60–74. 44 indexed citations

20.

Souplet, Philippe. (1995). Nonexistence of global solutions to some differential inequalities of the second order and applications.. Portugaliae Mathematica. 52(3). 289–299. 14 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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