V. V. Zhikov

6.4k total citations · 3 hit papers
81 papers, 4.4k citations indexed

About

V. V. Zhikov is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, V. V. Zhikov has authored 81 papers receiving a total of 4.4k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Computational Theory and Mathematics, 42 papers in Applied Mathematics and 23 papers in Computational Mechanics. Recurrent topics in V. V. Zhikov's work include Advanced Mathematical Modeling in Engineering (61 papers), Nonlinear Partial Differential Equations (27 papers) and Advanced Numerical Methods in Computational Mathematics (22 papers). V. V. Zhikov is often cited by papers focused on Advanced Mathematical Modeling in Engineering (61 papers), Nonlinear Partial Differential Equations (27 papers) and Advanced Numerical Methods in Computational Mathematics (22 papers). V. V. Zhikov collaborates with scholars based in Russia, Mozambique and Italy. V. V. Zhikov's co-authors include С. М. Козлов, O. A. Oleĭnik, B. M. Levitan, S. E. Pastukhova, O A Oleĭnik, S. N. Antont︠s︡ev, Yu. A. Alkhutov, M. G. Gasymov, Andrey Piatnitski and Marco Biroli and has published in prestigious journals such as Russian Mathematical Surveys, Functional Analysis and Its Applications and Advances in Differential Equations.

In The Last Decade

V. V. Zhikov

72 papers receiving 3.7k citations

Hit Papers

align trajectories sort by overperformance

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.

Homogenization of Differential Operators and Integral Functionals

1994 1.3k citations V. V. Zhikov et al. Medical Entomology and Zoology profile →
AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY

1987 935 citations V. V. Zhikov profile →
Almost Periodic Functions and Differential Equations

1982 546 citations B. M. Levitan, V. V. Zhikov Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
V. V. Zhikov Russia	21	3.4k	2.3k	1.4k	1.2k	1.2k	81	4.4k
Luc Tartar United States	20	1.8k 0.5×	1.8k 0.8×	669 0.5×	804 0.7×	1.0k 0.9×	48	3.2k
Pierre Grisvard France	15	2.1k 0.6×	1.1k 0.5×	1.4k 1.0×	1.6k 1.4×	1.0k 0.9×	32	3.8k
R. E. Showalter United States	25	1.5k 0.5×	929 0.4×	665 0.5×	797 0.7×	763 0.7×	83	2.6k
Jindřich Nečas Czechia	24	2.2k 0.6×	1.6k 0.7×	988 0.7×	1.2k 1.0×	856 0.7×	92	3.7k
Michel Chipot Switzerland	30	2.3k 0.7×	2.2k 1.0×	424 0.3×	376 0.3×	917 0.8×	161	3.4k
O. A. Oleĭnik Russia	9	1.6k 0.5×	1.0k 0.4×	920 0.7×	965 0.8×	665 0.6×	17	2.5k
Monique Dauge France	30	2.2k 0.6×	700 0.3×	2.1k 1.5×	2.7k 2.3×	973 0.8×	110	4.5k
С. М. Козлов France	14	3.0k 0.9×	913 0.4×	2.0k 1.5×	1.5k 1.3×	778 0.7×	31	3.7k
Eduardo Casas Spain	35	2.4k 0.7×	856 0.4×	429 0.3×	2.2k 1.8×	605 0.5×	138	3.4k
Michael Růžička Germany	26	3.3k 1.0×	4.7k 2.1×	266 0.2×	817 0.7×	1.9k 1.7×	84	5.8k

Countries citing papers authored by V. V. Zhikov

Since Specialization

Citations

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

Fields of papers citing papers by V. V. Zhikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of V. V. Zhikov

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Zhikov, V. V., et al.. (2016). Galerkin Approximations in Problems with p-Laplacian. Journal of Mathematical Sciences. 219(1). 99–111. 5 indexed citations

Pastukhova, S. E. & V. V. Zhikov. (2015). Homogenization estimates of operator type for an elliptic equation with quasiperiodic coefficients. Russian Journal of Mathematical Physics. 22(2). 264–278. 4 indexed citations

Zhikov, V. V. & S. E. Pastukhova. (2012). On gaps in the spectrum of the operator of elasticity theory on a high contrast periodic structure. Journal of Mathematical Sciences. 188(3). 227–240. 8 indexed citations

Zhikov, V. V.. (2010). On the weak convergence of fluxes to a flux. Doklady Mathematics. 81(1). 58–62. 10 indexed citations

Zhikov, V. V. & V. V. Zhikov. (2009). Об одном подходе к разрешимости обобщенных уравнений Навье - Стокса. Функциональный анализ и его приложения. 43(3). 33–53. 12 indexed citations

Zhikov, V. V.. (2009). On the technique for passing to the limit in nonlinear elliptic equations. Functional Analysis and Its Applications. 43(2). 96–112. 30 indexed citations

Zhikov, V. V. & S. E. Pastukhova. (2008). Improved integrability of the gradients of solutions of elliptic equations with variable nonlinearity exponent. Sbornik Mathematics. 199(12). 1751–1782. 34 indexed citations

Zhikov, V. V. & S. E. Pastukhova. (2008). Homogenization of degenerate elliptic equations. Siberian Mathematical Journal. 49(1). 80–101. 30 indexed citations

Zhikov, V. V., et al.. (2007). О теореме Троттера - Като в переменном пространстве. Функциональный анализ и его приложения. 41(4). 22–29. 2 indexed citations

10.

Biroli, Marco, Nicoletta Tchou, & V. V. Zhikov. (1999). Homogenization for Heisenberg operator with Neumann boundary conditions. Ricerche di Matematica. 45–59. 1 indexed citations

11.

Zhikov, V. V., et al.. (1997). Усреднение нелинейных эллиптических уравнений второго порядка в перфорированных областях. Известия Российской академии наук Серия математическая. 61(1). 69–88. 9 indexed citations

12.

Zhikov, V. V. & V. V. Zhikov. (1996). Связность и усреднение. Примеры фрактальной проводимости. Математический сборник. 187(8). 3–40. 32 indexed citations

13.

Zhikov, V. V.. (1991). Estimates for the trace of an averaged tensor. Ukrainian Mathematical Journal. 43(6). 694–704. 7 indexed citations

14.

Zhikov, V. V.. (1986). Estimates for the trace of the averaged matrix. Mathematical Notes. 40(2). 628–634. 7 indexed citations

15.

Zhikov, V. V., et al.. (1985). Stabilization of the solution of the Cauchy problem for parabolic equations. Mathematical Notes. 37(6). 456–466. 16 indexed citations

16.

Zhikov, V. V., et al.. (1983). Averaging of singularly perturbed elliptic operators. Mathematical Notes. 33(4). 294–300. 15 indexed citations

17.

Levitan, B. M. & V. V. Zhikov. (1982). Almost Periodic Functions and Differential Equations. Medical Entomology and Zoology. 546 indexed citations breakdown →

18.

Levitan, B. M. & V. V. Zhikov. (1978). Почти-периодические функции и дифференциальные уравнения. 1 indexed citations

19.

Zhikov, V. V.. (1971). The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory). Mathematical Notes. 9(4). 235–238. 4 indexed citations

20.

Zhikov, V. V.. (1968). On a problem of Bochner and von Neumann. Mathematical Notes. 3(5). 337–342. 2 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.

Explore authors with similar magnitude of impact