Arshak Petrosyan

1.1k total citations
40 papers, 561 citations indexed

About

Arshak Petrosyan is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Arshak Petrosyan has authored 40 papers receiving a total of 561 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Applied Mathematics, 30 papers in Computational Theory and Mathematics and 19 papers in Mathematical Physics. Recurrent topics in Arshak Petrosyan's work include Nonlinear Partial Differential Equations (31 papers), Advanced Mathematical Modeling in Engineering (28 papers) and Numerical methods in inverse problems (16 papers). Arshak Petrosyan is often cited by papers focused on Nonlinear Partial Differential Equations (31 papers), Advanced Mathematical Modeling in Engineering (28 papers) and Numerical methods in inverse problems (16 papers). Arshak Petrosyan collaborates with scholars based in United States, Sweden and Italy. Arshak Petrosyan's co-authors include Henrik Shahgholian, Donatella Danielli, N. N. Uraltseva, Luis Caffarelli, Enrico Valdinoci, Juan Luís Vázquez, Ki-Ahm Lee, Wenhui Shi, Herbert Koch and Nicola Garofalo and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

Arshak Petrosyan

37 papers receiving 508 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arshak Petrosyan United States 13 485 421 219 42 35 40 561
Giovanni Cupini Italy 17 599 1.2× 486 1.2× 265 1.2× 49 1.2× 50 1.4× 45 647
Ki-Ahm Lee South Korea 12 329 0.7× 240 0.6× 127 0.6× 28 0.7× 28 0.8× 55 375
Moritz Kaßmann Germany 15 746 1.5× 527 1.3× 459 2.1× 48 1.1× 52 1.5× 38 917
Kazuaki Taira Japan 12 406 0.8× 299 0.7× 255 1.2× 70 1.7× 76 2.2× 88 540
Joaquim Serra Spain 15 953 2.0× 727 1.7× 427 1.9× 109 2.6× 101 2.9× 27 1.1k
Giovanni Dore Italy 9 380 0.8× 211 0.5× 266 1.2× 30 0.7× 93 2.7× 17 464
Eduardo V. Teixeira Brazil 13 425 0.9× 343 0.8× 194 0.9× 28 0.7× 42 1.2× 45 482
Bianca Stroffolini Italy 12 452 0.9× 276 0.7× 162 0.7× 12 0.3× 21 0.6× 42 496
Peihao Zhao China 12 394 0.8× 316 0.8× 109 0.5× 66 1.6× 63 1.8× 58 482
Marco Bramanti Italy 14 532 1.1× 224 0.5× 325 1.5× 10 0.2× 18 0.5× 34 578

Countries citing papers authored by Arshak Petrosyan

Since Specialization
Citations

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

Fields of papers citing papers by Arshak Petrosyan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arshak Petrosyan

This figure shows the co-authorship network connecting the top 25 collaborators of Arshak Petrosyan. A scholar is included among the top collaborators of Arshak Petrosyan 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 Arshak Petrosyan. Arshak Petrosyan 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.
Petrosyan, Arshak, et al.. (2024). Almost minimizers for the thin obstacle problem with variable coefficients. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 26(3). 321–380.
2.
Petrosyan, Arshak, et al.. (2021). Almost minimizers for certain fractional variational problems. St Petersburg Mathematical Journal. 32(4). 729–751. 6 indexed citations
3.
Banerjee, A., Donatella Danielli, Nicola Garofalo, & Arshak Petrosyan. (2021). THE REGULAR FREE BOUNDARY IN THE THIN OBSTACLE PROBLEM FOR DEGENERATE PARABOLIC EQUATIONS. Padua Research Archive (University of Padova). 6 indexed citations
4.
Petrosyan, Arshak, et al.. (2021). Almost minimizers for the thin obstacle problem. Calculus of Variations and Partial Differential Equations. 60(4). 6 indexed citations
5.
Garofalo, Nicola, et al.. (2018). The singular free boundary in the Signorini problem for variable coefficients. Indiana University Mathematics Journal. 67(5). 1893–1934. 1 indexed citations
6.
Allen, M. & Arshak Petrosyan. (2012). A two-phase problem with a lower-dimensional free boundary. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 14(3). 307–342. 9 indexed citations
7.
Petrosyan, Arshak, Henrik Shahgholian, & N. N. Uraltseva. (2012). Regularity of Free Boundaries in Obstacle-Type Problems. Graduate studies in mathematics. 122 indexed citations
8.
Petrosyan, Arshak. (2011). Bounded projectors in spaces of functions holomorphic in the unit ball. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 46(5). 264–272. 1 indexed citations
9.
Petrosyan, Arshak. (2008). On the full regularity of the free boundary in a class of variational problems. Proceedings of the American Mathematical Society. 136(8). 2763–2769. 3 indexed citations
10.
Petrosyan, Arshak, et al.. (2007). A parabolic almost monotonicity formula. Mathematische Annalen. 341(2). 429–454. 12 indexed citations
11.
Petrosyan, Arshak & Henrik Shahgholian. (2007). Parabolic obstacle problems applied to finance - A free-boundary-regularity approach. 1 indexed citations
12.
Danielli, Donatella, Nicola Garofalo, & Arshak Petrosyan. (2006). The sub-elliptic obstacle problem: C1,α regularity of the free boundary in Carnot groups of step two. Advances in Mathematics. 211(2). 485–516. 15 indexed citations
13.
Lee, Ki-Ahm, Arshak Petrosyan, & Juan Luís Vázquez. (2006). Large-time geometric properties of solutions of the evolution p-Laplacian equation. Journal of Differential Equations. 229(2). 389–411. 46 indexed citations
14.
Petrosyan, Arshak & Enrico Valdinoci. (2005). Geometric properties of Bernoulli-type minimizers. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 7(1). 55–78. 13 indexed citations
15.
Caffarelli, Luis, Arshak Petrosyan, & Henrik Shahgholian. (2004). Regularity of a free boundary in parabolic potential theory. Journal of the American Mathematical Society. 17(4). 827–869. 52 indexed citations
16.
Petrosyan, Arshak. (2002). Propagation of Smallness and the Uniqueness of Solutions to Some Elliptic Equations in the Plane. Journal of Mathematical Analysis and Applications. 267(2). 460–470. 1 indexed citations
17.
Manfredi, Juan J., Arshak Petrosyan, & Henrik Shahgholian. (2002). A free boundary problem for $\infty$ -Laplace equation. Calculus of Variations and Partial Differential Equations. 14(3). 359–384. 15 indexed citations
18.
Petrosyan, Arshak. (2001). Convexity and uniqueness in a free boundary problem arising in combustion theory. Revista Matemática Iberoamericana. 17(3). 421–431. 5 indexed citations
19.
Karp, Leon, et al.. (2000). On the Porosity of Free Boundaries in Degenerate Variational Inequalities. Journal of Differential Equations. 164(1). 110–117. 32 indexed citations
20.
Petrosyan, Arshak. (1999). Some extremal problems for analytic functions. Complex Variables Theory and Application An International Journal. 39(2). 137–159. 1 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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