Gregory C. Verchota

2.2k total citations · 1 hit paper
32 papers, 1.3k citations indexed

About

Gregory C. Verchota is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Gregory C. Verchota has authored 32 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 17 papers in Computational Theory and Mathematics and 12 papers in Mathematical Physics. Recurrent topics in Gregory C. Verchota's work include Advanced Mathematical Modeling in Engineering (17 papers), Advanced Harmonic Analysis Research (15 papers) and Nonlinear Partial Differential Equations (13 papers). Gregory C. Verchota is often cited by papers focused on Advanced Mathematical Modeling in Engineering (17 papers), Advanced Harmonic Analysis Research (15 papers) and Nonlinear Partial Differential Equations (13 papers). Gregory C. Verchota collaborates with scholars based in United States, Canada and Sweden. Gregory C. Verchota's co-authors include Carlos E. Kenig, Jill Pipher, Björn E. J. Dahlberg, Eugene B. Fabes, Luis Escauriaza, Arthur I. Vogel, Tadeusz Iwaniec, Philip S. Griffin, Terry R. McConnell and John L. Lewis and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

Gregory C. Verchota

30 papers receiving 1.1k citations

Hit Papers

Layer potentials and regularity for the Dirichlet problem... 1984 2026 1998 2012 1984 100 200 300 400
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. Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
    1984 488 citations Gregory C. Verchota Journal of Functional Analysis profile →

Peers

Gregory C. Verchota
Б. А. Пламеневский Russia
Marius Mitrea United States
M. S. Agranovich Russia
В А Кондратьев Russia
J. Roßmann Germany
Norman G. Meyers United States
В. В. Жиков Russia
Rainer Picard Germany
Dorina Mitrea United States
Björn E. J. Dahlberg Sweden
Б. А. Пламеневский Russia
Gregory C. Verchota
Citations per year, relative to Gregory C. Verchota Gregory C. Verchota (= 1×) peers Б. А. Пламеневский

Countries citing papers authored by Gregory C. Verchota

Since Specialization
Citations

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

Fields of papers citing papers by Gregory C. Verchota

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gregory C. Verchota. 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 Gregory C. Verchota. The network helps show where Gregory C. Verchota may publish in the future.

Co-authorship network of co-authors of Gregory C. Verchota

This figure shows the co-authorship network connecting the top 25 collaborators of Gregory C. Verchota. A scholar is included among the top collaborators of Gregory C. Verchota 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 Gregory C. Verchota. Gregory C. Verchota 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.
Verchota, Gregory C.. (2014). Strongly elliptic linear operators without coercive quadratic forms. I. Constant coefficient operators and forms. Journal of the European Mathematical Society. 16(10). 2165–2210.
2.
Verchota, Gregory C.. (2009). Noncoercive sums of squares in R[x1,…,xn]. Journal of Pure and Applied Algebra. 214(3). 236–250. 2 indexed citations
3.
Verchota, Gregory C.. (2007). Counterexamples and uniqueness forLp(∂Ω)oblique derivative problems. Journal of Functional Analysis. 245(2). 413–437. 1 indexed citations
4.
Lewis, John L., et al.. (2005). Wolff snowflakes. We study the dimension of harmonic measure for Wolff snowflakes. Pacific Journal of Mathematics. 218(1). 139–166. 6 indexed citations
5.
Verchota, Gregory C., et al.. (1999). Nonsymmetric systems and area integral estimates. Proceedings of the American Mathematical Society. 128(2). 453–462. 1 indexed citations
6.
Dahlberg, Björn E. J., Carlos E. Kenig, Jill Pipher, & Gregory C. Verchota. (1997). Area integral estimates for higher order elliptic equations and systems. Annales de l’institut Fourier. 47(5). 1425–1461. 46 indexed citations
7.
Verchota, Gregory C. & Arthur I. Vogel. (1997). Nonsymmetric systems on nonsmooth planar domains. Transactions of the American Mathematical Society. 349(11). 4501–4535. 23 indexed citations
8.
Pipher, Jill & Gregory C. Verchota. (1995). Maximum principles for the polyharmonic equation on Lipschitz domains. Potential Analysis. 4(6). 615–636. 16 indexed citations
9.
Griffin, Philip S., Terry R. McConnell, & Gregory C. Verchota. (1993). Conditioned brownian motion in simply connected planar domains. French digital mathematics library (Numdam). 29(2). 229–249. 13 indexed citations
10.
Griffin, Philip S., et al.. (1993). Distoriton of area and conditioned Brownian motion. Probability Theory and Related Fields. 96(3). 385–413. 3 indexed citations
11.
Pipher, Jill & Gregory C. Verchota. (1993). A maximum principle for biharmonic functions in Lipschitz andC 1 domains. Commentarii Mathematici Helvetici. 68(1). 385–414. 34 indexed citations
12.
Escauriaza, Luis, Eugene B. Fabes, & Gregory C. Verchota. (1992). On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries. Proceedings of the American Mathematical Society. 115(4). 1069–1076. 64 indexed citations
13.
Pipher, Jill & Gregory C. Verchota. (1991). Area integral estimates for the biharmonic operator in Lipschitz domains. Transactions of the American Mathematical Society. 327(2). 903–917. 12 indexed citations
14.
Pipher, Jill & Gregory C. Verchota. (1991). Area Integral Estimates for the Biharmonic Operator in Lipschitz Domains. Transactions of the American Mathematical Society. 327(2). 903–903.
15.
Verchota, Gregory C.. (1990). . Indiana University Mathematics Journal. 39(3). 671–671. 35 indexed citations
16.
Fabes, Eugene B., Carlos E. Kenig, & Gregory C. Verchota. (1988). The Dirichlet problem for the Stokes system on Lipschitz domains. Duke Mathematical Journal. 57(3). 180 indexed citations
17.
Dahlberg, Björn E. J., Carlos E. Kenig, & Gregory C. Verchota. (1988). Boundary value problems for the systems of elastostatics in Lipschitz domains. Duke Mathematical Journal. 57(3). 157 indexed citations
18.
Dahlberg, Björn E. J., Carlos E. Kenig, & Gregory C. Verchota. (1986). The Dirichlet problem for the biharmonic equation in a Lipschitz domain. Annales de l’institut Fourier. 36(3). 109–135. 57 indexed citations
19.
Verchota, Gregory C.. (1984). Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains. Journal of Functional Analysis. 59(3). 572–611. 488 indexed citations breakdown →
20.
Verchota, Gregory C.. (1982). Layer potentials and boundary value problems for laplace's equation on lipschitz domains : a thesis submitted to the faculty of the graduate school of the University of Minnesota. UMI Dissertation Services eBooks. 18 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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