Sergey Shmarev

2.7k total citations · 1 hit paper
69 papers, 1.7k citations indexed

About

Sergey Shmarev is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Sergey Shmarev has authored 69 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Applied Mathematics, 51 papers in Computational Theory and Mathematics and 23 papers in Mathematical Physics. Recurrent topics in Sergey Shmarev's work include Nonlinear Partial Differential Equations (51 papers), Advanced Mathematical Modeling in Engineering (51 papers) and Differential Equations and Boundary Problems (20 papers). Sergey Shmarev is often cited by papers focused on Nonlinear Partial Differential Equations (51 papers), Advanced Mathematical Modeling in Engineering (51 papers) and Differential Equations and Boundary Problems (20 papers). Sergey Shmarev collaborates with scholars based in Spain, Portugal and Russia. Sergey Shmarev's co-authors include S. N. Antont︠s︡ev, Jesús Ildefonso Díaz Díaz, Juan Luís Vázquez, A.J. Kassab, Anvarbek Meirmanov, V. V. Pukhnachov, Victor A. Galaktionov, Michel Chipot, Jacques Giacomoni and Jacson Simsen and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Applied Mechanics Reviews and Archive for Rational Mechanics and Analysis.

In The Last Decade

Sergey Shmarev

64 papers receiving 1.6k citations

Hit Papers

Evolution PDEs with Nonstandard Growth Conditions 2015 2026 2018 2022 2015 50 100 150
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.

  1. Evolution PDEs with Nonstandard Growth Conditions
    2015 156 citations S. N. Antont︠s︡ev, Sergey Shmarev profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Sergey Shmarev Spain 19 1.4k 1.3k 591 543 272 69 1.7k
Philippe Benilán France 16 1.4k 1.0× 1.2k 0.9× 775 1.3× 347 0.6× 209 0.8× 40 1.7k
Ciprian G. Gal United States 23 674 0.5× 938 0.7× 305 0.5× 474 0.9× 131 0.5× 72 1.5k
Hongjie Dong United States 24 1.4k 1.0× 786 0.6× 936 1.6× 219 0.4× 62 0.2× 137 1.6k
Enzo Mitidieri Italy 29 2.4k 1.7× 1.7k 1.3× 938 1.6× 337 0.6× 333 1.2× 83 2.7k
Ralph Chill Germany 18 487 0.3× 540 0.4× 315 0.5× 392 0.7× 102 0.4× 52 879
Xavier Ros‐Oton Spain 18 1.2k 0.8× 902 0.7× 531 0.9× 130 0.2× 135 0.5× 45 1.4k
Kanishka Perera United States 24 2.6k 1.9× 2.0k 1.5× 689 1.2× 378 0.7× 331 1.2× 121 2.7k
Hans-Christoph Grunau Germany 21 1.3k 0.9× 990 0.8× 533 0.9× 140 0.3× 157 0.6× 61 1.6k
Noemí Wolanski Argentina 17 753 0.5× 595 0.5× 250 0.4× 162 0.3× 241 0.9× 45 939
Pierpaolo Esposito Italy 18 713 0.5× 657 0.5× 362 0.6× 144 0.3× 97 0.4× 41 908

Countries citing papers authored by Sergey Shmarev

Since Specialization
Citations

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

Fields of papers citing papers by Sergey Shmarev

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sergey Shmarev

This figure shows the co-authorship network connecting the top 25 collaborators of Sergey Shmarev. A scholar is included among the top collaborators of Sergey Shmarev 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 Sergey Shmarev. Sergey Shmarev 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.
Antont︠s︡ev, S. N., et al.. (2024). Solutions of impulsive p(x,t)-parabolic equations with an infinitesimal initial layer. Nonlinear Analysis Real World Applications. 80. 104162–104162. 1 indexed citations
2.
Shmarev, Sergey, et al.. (2024). Optimal global second-order regularity and improved integrability for parabolic equations with variable growth. Advances in Nonlinear Analysis. 13(1). 3 indexed citations
3.
Antont︠s︡ev, S. N., et al.. (2023). Global existence and regularity for a pseudo-parabolic equation with p(x,t)-Laplacian. Journal of Mathematical Analysis and Applications. 526(1). 127202–127202. 3 indexed citations
4.
Shmarev, Sergey, et al.. (2022). Existence and global second-order regularity for anisotropic parabolic equations with variable growth. Journal of Differential Equations. 349. 83–124. 2 indexed citations
5.
Shmarev, Sergey, et al.. (2022). Double-phase parabolic equations with variable growth and nonlinear sources. Advances in Nonlinear Analysis. 12(1). 304–335. 25 indexed citations
6.
Antont︠s︡ev, S. N. & Sergey Shmarev. (2020). On a class of nonlocal evolution equations with the p[u(x,t)]-Laplace operator. Nonlinear Analysis Real World Applications. 56. 103165–103165. 8 indexed citations
7.
Shmarev, Sergey, et al.. (2020). Strong solutions of evolution equations with p(x,t)-Laplacian: Existence, global higher integrability of the gradients and second-order regularity. Journal of Mathematical Analysis and Applications. 493(1). 124506–124506. 12 indexed citations
8.
Antont︠s︡ev, S. N., et al.. (2018). Global higher regularity of solutions to singular p(x,t)-parabolic equations. Journal of Mathematical Analysis and Applications. 466(1). 238–263. 19 indexed citations
9.
Alves, Claudianor O., et al.. (2016). The Cauchy problem for a class of parabolic equations in weighted variable Sobolev spaces: Existence and asymptotic behavior. Journal of Mathematical Analysis and Applications. 443(1). 265–294. 9 indexed citations
10.
Antont︠s︡ev, S. N., et al.. (2016). On the evolution p-Laplacian with nonlocal memory. Nonlinear Analysis. 134. 31–54. 5 indexed citations
11.
Giacomoni, Jacques, et al.. (2013). Complete quenching for a quasilinear parabolic equation. Journal of Mathematical Analysis and Applications. 410(2). 607–624. 14 indexed citations
12.
Antont︠s︡ev, S. N. & Sergey Shmarev. (2012). Energy Solutions of Evolution Equations with Nonstandard Growth Conditions. 85–111. 3 indexed citations
13.
Antont︠s︡ev, S. N. & Sergey Shmarev. (2010). Blow-up of solutions to parabolic equations with nonstandard growth conditions. Journal of Computational and Applied Mathematics. 234(9). 2633–2645. 93 indexed citations
14.
Antont︠s︡ev, S. N. & Sergey Shmarev. (2009). Vanishing solutions of anisotropic parabolic equations with variable nonlinearity. Journal of Mathematical Analysis and Applications. 361(2). 371–391. 54 indexed citations
15.
Díaz, Jesús Ildefonso Díaz & Sergey Shmarev. (2008). Lagrangian approach to the study of level sets II: A quasilinear equation in climatology. Journal of Mathematical Analysis and Applications. 352(1). 475–495. 2 indexed citations
16.
Shmarev, Sergey. (2002). Interfaces in solutions of diffusion-absorption equations. Hispana. 96(1). 129–134. 1 indexed citations
17.
Díaz, Jesús Ildefonso Díaz, et al.. (2002). Energy Methods for Free Boundary Problems: Applications to Nonlinear PDEs and Fluid Mechanics. Progress in Nonlinear Differential Equations and Their Applications, Vol 48. Applied Mechanics Reviews. 55(4). B74–B75. 57 indexed citations
18.
Hilhorst, Danielle, et al.. (2001). Regularity of Interfaces for an Inhomogeneous Filtration Equation. Advanced Nonlinear Studies. 1(1). 80–101. 1 indexed citations
19.
Galaktionov, Victor A., Sergey Shmarev, & Juan Luís Vázquez. (1999). SECOND-ORDER INTERFACE EQUATIONS FOR NONLINEAR DIFFUSION WITH VERY STRONG ABSORPTION. Communications in Contemporary Mathematics. 1(1). 51–64. 11 indexed citations
20.
Meirmanov, Anvarbek, V. V. Pukhnachov, & Sergey Shmarev. (1997). Evolution Equations and Lagrangian Coordinates. 40 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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