Philip Korman

1.3k total citations
99 papers, 916 citations indexed

About

Philip Korman is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Philip Korman has authored 99 papers receiving a total of 916 indexed citations (citations by other indexed papers that have themselves been cited), including 74 papers in Applied Mathematics, 53 papers in Computational Theory and Mathematics and 31 papers in Numerical Analysis. Recurrent topics in Philip Korman's work include Advanced Mathematical Modeling in Engineering (49 papers), Nonlinear Partial Differential Equations (48 papers) and Nonlinear Differential Equations Analysis (44 papers). Philip Korman is often cited by papers focused on Advanced Mathematical Modeling in Engineering (49 papers), Nonlinear Partial Differential Equations (48 papers) and Nonlinear Differential Equations Analysis (44 papers). Philip Korman collaborates with scholars based in United States and China. Philip Korman's co-authors include Yi Li, Tiancheng Ouyang, Anthony W. Leung, A. C. Lazer, Junping Shi, Viorel Barbu, Dieter Schmidt, Srdjan Stojanović, John D. Clough and Wenchang Chu and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

Philip Korman

88 papers receiving 817 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Philip Korman United States 17 747 467 253 158 120 99 916
Manuel Elgueta Chile 14 763 1.0× 538 1.2× 197 0.8× 243 1.5× 81 0.7× 36 904
Carmen Cortázar Chile 16 660 0.9× 458 1.0× 146 0.6× 237 1.5× 95 0.8× 48 801
H. Berestycki France 10 513 0.7× 342 0.7× 122 0.5× 178 1.1× 155 1.3× 14 690
Noemí Wolanski Argentina 17 753 1.0× 595 1.3× 241 1.0× 250 1.6× 61 0.5× 45 939
Louis Dupaigne France 21 1.1k 1.4× 726 1.6× 145 0.6× 453 2.9× 208 1.7× 38 1.3k
Alicia Castro United States 21 1.2k 1.6× 977 2.1× 188 0.7× 265 1.7× 54 0.5× 79 1.3k
Shoji Yotsutani Japan 14 453 0.6× 266 0.6× 94 0.4× 215 1.4× 237 2.0× 54 722
J. Bebernes United States 18 559 0.7× 373 0.8× 300 1.2× 206 1.3× 57 0.5× 46 826
Luís Sanchez Portugal 16 522 0.7× 247 0.5× 296 1.2× 111 0.7× 63 0.5× 53 656
Ioan I. Vrabie Romania 16 759 1.0× 412 0.9× 154 0.6× 128 0.8× 71 0.6× 52 950

Countries citing papers authored by Philip Korman

Since Specialization
Citations

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

Fields of papers citing papers by Philip Korman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Philip Korman

This figure shows the co-authorship network connecting the top 25 collaborators of Philip Korman. A scholar is included among the top collaborators of Philip Korman 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 Philip Korman. Philip Korman 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.
Korman, Philip & Dieter Schmidt. (2022). Infinitely many solutions and asymptotics for resonant oscillatory problems. Electronic Journal of Differential Equations. 301–314. 1 indexed citations
2.
Korman, Philip. (2017). Explicit solutions and multiplicity results for some equations with the 𝑝-Laplacian. Quarterly of Applied Mathematics. 75(4). 635–647. 1 indexed citations
3.
Korman, Philip, Yi Li, & Tiancheng Ouyang. (2017). A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory. Journal of Differential Equations. 263(5). 2874–2885. 5 indexed citations
4.
Korman, Philip, et al.. (2016). On the Direction of Pitchfork Bifurcation. SHILAP Revista de lepidopterología.
5.
Korman, Philip. (2015). Regularization of radial solutions of $p$-Laplace equations, and computations using infinite series\n. Repository of the Academy's Library (Library of the Hungarian Academy of Sciences). 1 indexed citations
6.
Korman, Philip & Yi Li. (2014). Exact multiplicity of positive solutions for concave–convex and convex–concave nonlinearities. Journal of Differential Equations. 257(10). 3730–3737. 5 indexed citations
7.
Korman, Philip & Yi Li. (2012). A computer assisted study of uniqueness of ground state solutions. Journal of Computational and Applied Mathematics. 236(11). 2838–2843. 3 indexed citations
8.
Korman, Philip. (2011). Existence and Uniqueness of Solutions for a Class of p-Laplace Equations on a Ball. Advanced Nonlinear Studies. 11(4). 875–888. 4 indexed citations
9.
Korman, Philip. (2008). Uniqueness and exact multiplicity of solutions for a class of Dirichlet problems. Journal of Differential Equations. 244(10). 2602–2613. 10 indexed citations
10.
Korman, Philip & Tiancheng Ouyang. (2006). Positivity for the linearized problem for semilinear equations. Topological Methods in Nonlinear Analysis. 28(1). 53–60. 2 indexed citations
11.
Korman, Philip, Yi Li, & Tiancheng Ouyang. (2003). Perturbation of Global Solution Curves for Semilinear Problems. Advanced Nonlinear Studies. 3(2). 289–299. 5 indexed citations
12.
Korman, Philip. (2003). Similarity of solution branches for two-point semilinear problems. SHILAP Revista de lepidopterología. 1 indexed citations
13.
Korman, Philip & Junping Shi. (2001). New exact multiplicity results with an application to a population model. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 131(5). 1167–1182. 10 indexed citations
14.
Korman, Philip & Yi Li. (2000). Infinitely Many Solutions at a Resonance. Electronic Journal of Differential Equations. 24(5). 105–111. 9 indexed citations
15.
Korman, Philip & Junping Shi. (2000). Instability and exact multiplicity of solutions of semilinear equations. SHILAP Revista de lepidopterología. 3 indexed citations
16.
Korman, Philip. (1998). A global solution curve for a class of semilinear equations. SHILAP Revista de lepidopterología. 6 indexed citations
17.
Korman, Philip, Yi Li, & Tiancheng Ouyang. (1996). Exact multiplicity results for boundary value problems with nonlinearities generalising cubic. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 126(3). 599–616. 66 indexed citations
18.
Korman, Philip & Tiancheng Ouyang. (1996). Solution curves for two classes of boundary-value problems. Nonlinear Analysis. 27(9). 1031–1047. 10 indexed citations
19.
Korman, Philip. (1992). Dynamics of the lotka-volterra systems with diffusion. Applicable Analysis. 44(3-4). 191–207. 17 indexed citations
20.
Korman, Philip & Anthony W. Leung. (1986). A general monotone scheme for elliptic systems with applications to ecological models. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 102(3-4). 315–325. 42 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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