François Murat

7.8k total citations · 2 hit papers
105 papers, 5.0k citations indexed

About

François Murat is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, François Murat has authored 105 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Computational Theory and Mathematics, 64 papers in Applied Mathematics and 27 papers in Mathematical Physics. Recurrent topics in François Murat's work include Advanced Mathematical Modeling in Engineering (74 papers), Nonlinear Partial Differential Equations (48 papers) and Numerical methods in inverse problems (22 papers). François Murat is often cited by papers focused on Advanced Mathematical Modeling in Engineering (74 papers), Nonlinear Partial Differential Equations (48 papers) and Numerical methods in inverse problems (22 papers). François Murat collaborates with scholars based in France, Italy and Spain. François Murat's co-authors include Lucio Boccardo, Gianni Dal Maso, J. M. Ball, Jean-Pierre Puel, Philippe G. LeFloch, Gilles A. Francfort, D. Blanchard, Alain Prignet, Luigi Orsina and Hicham Redwane and has published in prestigious journals such as SHILAP Revista de lepidopterología, International Journal of Solids and Structures and SIAM Journal on Numerical Analysis.

In The Last Decade

François Murat

101 papers receiving 4.5k citations

Hit Papers

Definition and weak stability of nonconservative products 1978 2026 1994 2010 1995 1978 100 200 300 400 500

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
François Murat France 31 3.1k 3.0k 1.7k 1.2k 1.1k 105 5.0k
Gianni Dal Maso Italy 43 4.5k 1.4× 3.0k 1.0× 1.7k 1.0× 1.9k 1.6× 2.5k 2.4× 171 7.3k
Luc Tartar United States 20 1.8k 0.6× 1.8k 0.6× 1.0k 0.6× 804 0.7× 669 0.6× 48 3.2k
Jindřich Nečas Czechia 24 2.2k 0.7× 1.6k 0.5× 856 0.5× 1.2k 1.0× 988 0.9× 92 3.7k
Mariano Giaquinta Italy 35 3.0k 0.9× 3.7k 1.3× 1.5k 0.9× 390 0.3× 404 0.4× 92 5.0k
Diego Pallara Italy 15 1.5k 0.5× 1.8k 0.6× 1.2k 0.7× 538 0.5× 410 0.4× 66 3.4k
O. A. Ladyzhenskaya Russia 20 2.1k 0.7× 2.6k 0.9× 1.8k 1.1× 1.7k 1.4× 599 0.6× 84 5.3k
С. А. Назаров Russia 31 3.7k 1.2× 733 0.2× 2.5k 1.5× 804 0.7× 1.8k 1.7× 559 5.1k
Pierre Grisvard France 15 2.1k 0.7× 1.1k 0.4× 1.0k 0.6× 1.6k 1.4× 1.4k 1.3× 32 3.8k
Wolfgang L. Wendland Germany 34 1.6k 0.5× 1.1k 0.4× 895 0.5× 1.9k 1.6× 2.3k 2.2× 208 4.7k
Giovanni P. Galdi United States 35 2.2k 0.7× 3.7k 1.2× 1.8k 1.1× 2.5k 2.1× 387 0.4× 145 5.7k

Countries citing papers authored by François Murat

Since Specialization
Citations

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

Fields of papers citing papers by François Murat

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of François Murat

This figure shows the co-authorship network connecting the top 25 collaborators of François Murat. A scholar is included among the top collaborators of François Murat 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 François Murat. François Murat 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.
Murat, François, et al.. (2020). A remark about the periodic homogenization of certain composite fibered media. Networks and Heterogeneous Media. 15(1). 125–142. 4 indexed citations
2.
Giachetti, Daniela, Pedro J. Martínez−Aparicio, & François Murat. (2018). On the definition of the solution to a semilinear elliptic problem with a strong singularity at u=0. Nonlinear Analysis. 177. 491–523. 6 indexed citations
3.
Belgacem, Faker Ben, et al.. (2018). A New Algorithm of Proper Generalized Decomposition for Parametric Symmetric Elliptic Problems. SIAM Journal on Mathematical Analysis. 50(5). 5426–5445. 5 indexed citations
4.
Giachetti, Daniela, Pedro J. Martínez−Aparicio, & François Murat. (2017). Homogenization of a Dirichlet semilinear elliptic problem with a strong\n singularity at $u=0$ in a domain with many small holes. arXiv (Cornell University). 8 indexed citations
5.
Murat, François & Roberto Paroni. (2015). Plate theory as the variational limit of the complementary energy\n functionals of inhomogeneous anisotropic linearly elastic bodies. arXiv (Cornell University). 1 indexed citations
6.
Giova, Raffaella, et al.. (2011). An Example of a Functional which is Weakly Lower Semicontinuous on $W_0^{1,p}$ for every $p>2$ but not on $H_0^1$. Zeitschrift für Analysis und ihre Anwendungen. 30(1). 59–69. 1 indexed citations
7.
Briane, Marc, Juan Casado‐Díaz, & François Murat. (2009). The div-curl lemma “trente ans après”: an extension and an application to the G-convergence of unbounded monotone operators. Journal de Mathématiques Pures et Appliquées. 91(5). 476–494. 19 indexed citations
8.
Alvino, Angelo, Anna Mercaldo, François Murat, & Ireneo Peral. (2008). On the notions of solution to nonlinear elliptic problems : results and developments. 12 indexed citations
9.
Murat, François, et al.. (2005). Sur l'inégalité de Lewy-Stampacchia pour le problème bilatéral et pour le problème quadratique. SHILAP Revista de lepidopterología. 1 indexed citations
10.
Murat, François & Cristina Trombetti. (2003). A chain rule formula for the composition of a vector-valued function by a piecewise smooth function. Bollettino Della Unione Matematica Italiana. 581–595. 6 indexed citations
11.
Blanchard, Dominique, François Murat, & Hicham Redwane. (2001). Existence and Uniqueness of a Renormalized Solution for a Fairly General Class of Nonlinear Parabolic Problems. Journal of Differential Equations. 177(2). 331–374. 123 indexed citations
12.
Maso, Gianni Dal, François Murat, Luigi Orsina, & Alain Prignet. (1999). Renormalized solutions of elliptic equations with general measure data. IRIS Research product catalog (Sapienza University of Rome). 28(4). 741–808. 302 indexed citations
13.
Murat, François. (1998). Équations elliptiques non linéaires monotones avec un deuxième membre ${L}^1$ ou mesure. French digital mathematics library (Numdam). 1–4.
14.
Dall’Aglio, Andrea & François Murat. (1997). A corrector result for $H$-converging parabolic problems with time-dependent coefficients. French digital mathematics library (Numdam). 25. 329–373. 11 indexed citations
15.
Maso, Gianni Dal & François Murat. (1997). Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. OpenGrey (Institut de l'Information Scientifique et Technique). 24(2). 239–290. 69 indexed citations
16.
Maso, Gianni Dal, Philippe G. LeFloch, & François Murat. (1995). Definition and weak stability of nonconservative products. Journal de Mathématiques Pures et Appliquées. 74(6). 483–548. 540 indexed citations breakdown →
17.
Cioranescu, Doina, Patrizia Donato, François Murat, & Enrique Zuazua. (1991). Homogenization and corrector for the wave equation in domains with small holes. French digital mathematics library (Numdam). 18(2). 251–293. 11 indexed citations
18.
Boccardo, Lucio & François Murat. (1982). Remarques sur l'homogénéisation de certains problèmes quasi-linéaires. Portugaliae Mathematica. 41. 535–562. 20 indexed citations
19.
Boccardo, Lucio, François Murat, & Jean-Pierre Puel. (1982). Existence de solutions non bornées pour certaines équations quasi-linéaires. Portugaliae Mathematica. 41. 507–534. 83 indexed citations
20.
Murat, François. (1978). Compacité par compensation. French digital mathematics library (Numdam). 5(3). 489–507. 360 indexed citations breakdown →

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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