Igor E. Verbitsky

1.7k total citations
39 papers, 764 citations indexed

About

Igor E. Verbitsky is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Igor E. Verbitsky has authored 39 papers receiving a total of 764 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Applied Mathematics, 24 papers in Mathematical Physics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Igor E. Verbitsky's work include Nonlinear Partial Differential Equations (24 papers), Advanced Harmonic Analysis Research (18 papers) and Advanced Mathematical Modeling in Engineering (15 papers). Igor E. Verbitsky is often cited by papers focused on Nonlinear Partial Differential Equations (24 papers), Advanced Harmonic Analysis Research (18 papers) and Advanced Mathematical Modeling in Engineering (15 papers). Igor E. Verbitsky collaborates with scholars based in United States, Sweden and United Kingdom. Igor E. Verbitsky's co-authors include Vladimir Maz’ya, Nguyễn Hữu Huy Phúc, N. J. Kalton, Nguyen Cong Phuc, William S. Cohn, Joaquı́n M. Ortega, Richard L. Wheeden, Alexander Grigorʼyan, Stephen Quinn and Michael Frazier and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Igor E. Verbitsky

37 papers receiving 670 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Igor E. Verbitsky United States 17 713 407 288 47 42 39 764
Markus Poppenberg Germany 7 473 0.7× 474 1.2× 235 0.8× 31 0.7× 58 1.4× 20 582
Marco Bramanti Italy 14 532 0.7× 325 0.8× 224 0.8× 31 0.7× 10 0.2× 34 578
Yuxia Guo China 17 686 1.0× 391 1.0× 519 1.8× 20 0.4× 70 1.7× 104 795
Eduardo V. Teixeira Brazil 13 425 0.6× 194 0.5× 343 1.2× 74 1.6× 28 0.7× 45 482
Pedro Ubilla Chile 16 699 1.0× 181 0.4× 534 1.9× 32 0.7× 78 1.9× 58 717
Paolo Caldiroli Italy 11 386 0.5× 150 0.4× 297 1.0× 41 0.9× 31 0.7× 44 443
Filippo Chiarenza Italy 15 1.3k 1.8× 738 1.8× 523 1.8× 51 1.1× 51 1.2× 24 1.3k
Roberta Filippucci Italy 14 575 0.8× 245 0.6× 453 1.6× 13 0.3× 38 0.9× 40 588
Vakhtang Kokilashvili Georgia 19 1.5k 2.0× 753 1.9× 214 0.7× 63 1.3× 144 3.4× 105 1.5k
V. V. Motreanu France 12 442 0.6× 155 0.4× 405 1.4× 14 0.3× 86 2.0× 38 483

Countries citing papers authored by Igor E. Verbitsky

Since Specialization
Citations

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

Fields of papers citing papers by Igor E. Verbitsky

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor E. Verbitsky. 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 Igor E. Verbitsky. The network helps show where Igor E. Verbitsky may publish in the future.

Co-authorship network of co-authors of Igor E. Verbitsky

This figure shows the co-authorship network connecting the top 25 collaborators of Igor E. Verbitsky. A scholar is included among the top collaborators of Igor E. Verbitsky 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 Igor E. Verbitsky. Igor E. Verbitsky 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.
Grigorʼyan, Alexander & Igor E. Verbitsky. (2019). Pointwise estimates of solutions to semilinear elliptic equations and inequalities. Journal d Analyse Mathématique. 137(2). 559–601. 3 indexed citations
2.
Verbitsky, Igor E.. (2017). Pointwise Estimates of Solutions and Existence Criteria for Sublinear Elliptic Equations. 20(3). 18–33. 2 indexed citations
3.
Frazier, Michael & Igor E. Verbitsky. (2017). Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage. Annales de l’institut Fourier. 67(4). 1393–1425. 2 indexed citations
4.
Quinn, Stephen & Igor E. Verbitsky. (2017). A sublinear version of Schur’s lemma andelliptic PDE. Analysis & PDE. 11(2). 439–466. 8 indexed citations
5.
Verbitsky, Igor E., et al.. (2016). Nonlinear elliptic equations and intrinsic potentials of Wolff type. Journal of Functional Analysis. 272(1). 112–165. 15 indexed citations
6.
Verbitsky, Igor E., et al.. (2016). FINITE ENERGY SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS WITH SUB-NATURAL GROWTH TERMS. 9 indexed citations
7.
Frazier, Michael, Fëdor Nazarov, & Igor E. Verbitsky. (2014). Global estimates for kernels of Neumann series and Green's functions. Journal of the London Mathematical Society. 90(3). 903–918. 7 indexed citations
8.
Phuc, Nguyen Cong & Igor E. Verbitsky. (2013). Quasilinear equations with source terms on Carnot groups. Transactions of the American Mathematical Society. 365(12). 6569–6593. 1 indexed citations
9.
Phuc, Nguyen Cong & Igor E. Verbitsky. (2009). Singular quasilinear and Hessian equations and inequalities. Journal of Functional Analysis. 256(6). 1875–1906. 34 indexed citations
10.
Maz’ya, Vladimir & Igor E. Verbitsky. (2006). Form boundedness of the general second‐order differential Operator. Communications on Pure and Applied Mathematics. 59(9). 1286–1329. 28 indexed citations
11.
Ortega, Joaquı́n M., et al.. (2006). ON $L^p$–$L^q$ TRACE INEQUALITIES. Journal of the London Mathematical Society. 74(2). 497–511. 17 indexed citations
12.
Maz’ya, Vladimir & Igor E. Verbitsky. (2004). The form boundedness criterion for the relativistic Schrödinger operator. Annales de l’institut Fourier. 54(2). 317–339. 18 indexed citations
13.
Kalton, N. J., et al.. (2003). Best constants for some operators associated with the Fourier and Hilbert transforms. Studia Mathematica. 157(3). 237–278. 10 indexed citations
14.
Maz’ya, Vladimir & Igor E. Verbitsky. (2002). The Schrödinger operator on the energy space: boundedness and compactness criteria. Acta Mathematica. 188(2). 263–302. 46 indexed citations
15.
Ortega, Joaquı́n M., et al.. (2002). Wolff's Inequality for Radially Nonincreasing Kernels and Applications to Trace Inequalities. Potential Analysis. 16(4). 347–372. 17 indexed citations
16.
Verbitsky, Igor E., et al.. (2000). Best Constants for the Riesz Projection. Journal of Functional Analysis. 175(2). 370–392. 49 indexed citations
17.
Cohn, William S. & Igor E. Verbitsky. (2000). Factorization of Tent Spaces and Hankel Operators. Journal of Functional Analysis. 175(2). 308–329. 29 indexed citations
18.
Maz’ya, Vladimir, et al.. (1999). Criteria of solvability for multidimensional Riccati equations. Arkiv för matematik. 37(1). 87–120. 50 indexed citations
19.
Verbitsky, Igor E.. (1999). Superlinear equations, potential theory and weighted norm inequalities. Czech digital mathematics library. 223–269. 6 indexed citations
20.
Verbitsky, Igor E. & Richard L. Wheeden. (1995). Weighted Trace Inequalities for Fractional Integrals and Applications to Semilinear Equations. Journal of Functional Analysis. 129(1). 221–241. 9 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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