Kirk E. Lancaster

542 total citations
41 papers, 345 citations indexed

About

Kirk E. Lancaster is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Kirk E. Lancaster has authored 41 papers receiving a total of 345 indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Applied Mathematics, 27 papers in Computational Theory and Mathematics and 9 papers in Mathematical Physics. Recurrent topics in Kirk E. Lancaster's work include Advanced Mathematical Modeling in Engineering (26 papers), Nonlinear Partial Differential Equations (21 papers) and Differential Equations and Boundary Problems (14 papers). Kirk E. Lancaster is often cited by papers focused on Advanced Mathematical Modeling in Engineering (26 papers), Nonlinear Partial Differential Equations (21 papers) and Differential Equations and Boundary Problems (14 papers). Kirk E. Lancaster collaborates with scholars based in United States, Saudi Arabia and Canada. Kirk E. Lancaster's co-authors include Peter Kuchment, Alan R. Elcrat, David Siegel, Ning Situ, George Zouridakis, Tanush Wadhawan, Xiaojing Yuan, Rui Hu, Andrew Acker and Vassilis G. Papanicolaou and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

Kirk E. Lancaster

34 papers receiving 292 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Kirk E. Lancaster United States 10 186 123 60 56 52 41 345
H. Yoshida Japan 9 79 0.4× 65 0.5× 61 1.0× 18 0.3× 37 0.7× 35 264
Marcus Wagner Germany 10 38 0.2× 80 0.7× 39 0.7× 8 0.1× 33 0.6× 35 243
Salvador Moll Spain 10 167 0.9× 121 1.0× 67 1.1× 7 0.1× 8 0.2× 28 288
Łukasz Płociniczak Poland 13 162 0.9× 41 0.3× 53 0.9× 38 0.7× 37 0.7× 44 422
Andrey Sarychev Russia 13 159 0.9× 104 0.8× 76 1.3× 15 0.3× 7 0.1× 38 471
Donald C. Solmon United States 11 191 1.0× 64 0.5× 142 2.4× 146 2.6× 371 7.1× 23 596
Eun Heui Kim United States 11 319 1.7× 69 0.6× 213 3.5× 27 0.5× 15 0.3× 25 460
Borislav Bojanov Bulgaria 14 345 1.9× 128 1.0× 70 1.2× 27 0.5× 27 0.5× 57 574
Yaobin Ou China 12 326 1.8× 20 0.2× 202 3.4× 7 0.1× 39 0.8× 36 460

Countries citing papers authored by Kirk E. Lancaster

Since Specialization
Citations

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

Fields of papers citing papers by Kirk E. Lancaster

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Kirk E. Lancaster

This figure shows the co-authorship network connecting the top 25 collaborators of Kirk E. Lancaster. A scholar is included among the top collaborators of Kirk E. Lancaster 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 Kirk E. Lancaster. Kirk E. Lancaster 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.
Lancaster, Kirk E., et al.. (2022). Behavior of Prescribed Mean Curvature Hypersurfaces on Reentrant Ridges. Journal of Geometric Analysis. 32(11).
2.
Lancaster, Kirk E., et al.. (2020). Radial Limits of Nonparametric PMC Surfaces with Intermediate Boundary Curvature. Taiwanese Journal of Mathematics. 25(3). 1 indexed citations
3.
Lancaster, Kirk E., et al.. (2019). Boundary Continuity of Nonparametric Prescribed Mean Curvature Surfaces. Taiwanese Journal of Mathematics. 24(2). 4 indexed citations
4.
Lancaster, Kirk E.. (2012). Remarks on the behavior of nonparametric capillary surfaces at corners. Pacific Journal of Mathematics. 258(2). 369–392. 2 indexed citations
5.
Wadhawan, Tanush, Ning Situ, Rui Hu, et al.. (2011). Implementation of the 7-point checklist for melanoma detection on smart handheld devices. PubMed. 2011. 3180–3183. 56 indexed citations
6.
Lancaster, Kirk E., et al.. (2008). Vertical blow ups of capillary surfaces in $R^3$, Part 2: Nonconvex corners. SHILAP Revista de lepidopterología. 35 indexed citations
7.
Lancaster, Kirk E., et al.. (2006). . Pacific Journal of Mathematics. 224(2). 231–246. 1 indexed citations
8.
Lancaster, Kirk E., et al.. (2003). On the asymptotic behavior of solutions of quasilinear elliptic equations. ANNALI DELL UNIVERSITA DI FERRARA. 49(1).
9.
Lancaster, Kirk E., et al.. (2002). A MAXIMUM PRINCIPLE FOR SOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS ON UNBOUNDED DOMAINS. Communications in Partial Differential Equations. 27(7-8). 1271–1281. 1 indexed citations
10.
Lancaster, Kirk E., et al.. (2000). Phragmen–Lindelöf theorems and the asymptotic behaviour of solutions of quasilinear elliptic equations in slabs. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 130(2). 335–373. 8 indexed citations
11.
Lancaster, Kirk E., et al.. (1999). Theorems of Phragmèn-Lindelöf type for quasilinear elliptic equations. Journal für die reine und angewandte Mathematik (Crelles Journal). 1999(514). 165–197. 10 indexed citations
12.
Lancaster, Kirk E., et al.. (1998). A comparison principle for quasilinear elliptic equations and its application. Pacific Journal of Mathematics. 184(2). 279–294. 2 indexed citations
13.
Lancaster, Kirk E. & David Siegel. (1996). Behavior of a Bounded Non-Parametric $H$-Surface Near a Reentrant Corner. Zeitschrift für Analysis und ihre Anwendungen. 15(4). 819–850. 9 indexed citations
14.
Kuchment, Peter, et al.. (1995). On local tomography. Inverse Problems. 11(3). 571–589. 64 indexed citations
15.
Lancaster, Kirk E.. (1992). Qualitative behavior of solutions of elliptic free boundary problems. Pacific Journal of Mathematics. 154(2). 297–316. 15 indexed citations
16.
Lancaster, Kirk E.. (1989). Existence and nonexistence of radial limits of minimal surfaces. Proceedings of the American Mathematical Society. 106(3). 757–762. 4 indexed citations
17.
Acker, Andrew & Kirk E. Lancaster. (1989). The geometry of curves of constant contact angle for doubly—connected minimal surfaces. Communications in Partial Differential Equations. 14(3). 375–390. 2 indexed citations
18.
Elcrat, Alan R. & Kirk E. Lancaster. (1986). Boundary Behavior of a Nonparametric Surface of Prescribed Mean Curvature Near a Reentrant Corner. Transactions of the American Mathematical Society. 297(2). 645–645. 7 indexed citations
19.
Elcrat, Alan R. & Kirk E. Lancaster. (1986). Boundary behavior of a nonparametric surface of prescribed mean curvature near a reentrant corner. Transactions of the American Mathematical Society. 297(2). 645–650. 12 indexed citations
20.
Lancaster, Kirk E., et al.. (1980). Systems of partial differential operators with fundamental solutions supported by a cone. Proceedings of the American Mathematical Society. 78(2). 247–252.

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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