Pavol Quíttner

3.0k total citations · 1 hit paper
68 papers, 2.0k citations indexed

About

Pavol Quíttner is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Pavol Quíttner has authored 68 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Applied Mathematics, 49 papers in Computational Theory and Mathematics and 28 papers in Control and Systems Engineering. Recurrent topics in Pavol Quíttner's work include Nonlinear Partial Differential Equations (52 papers), Advanced Mathematical Modeling in Engineering (45 papers) and Stability and Controllability of Differential Equations (28 papers). Pavol Quíttner is often cited by papers focused on Nonlinear Partial Differential Equations (52 papers), Advanced Mathematical Modeling in Engineering (45 papers) and Stability and Controllability of Differential Equations (28 papers). Pavol Quíttner collaborates with scholars based in Slovakia, France and Switzerland. Pavol Quíttner's co-authors include Philippe Souplet, Peter Poláčik, Марек Фила, Michel Chipot, Herbert Amann, Thomas Bartsch, Wolfgang Reichel, Anı́bal Rodrı́guez-Bernal, Michael Winkler and Miroslav Chlebík and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Pavol Quíttner

66 papers receiving 1.8k citations

Hit Papers

Superlinear Parabolic Problems: Blow-up, Global Existence... 2007 2026 2013 2019 2007 100 200 300 400 500
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. Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States
    2007 552 citations Pavol Quíttner, Philippe Souplet profile →

Peers

Pavol Quíttner
Frank Neubrander United States
Jingxue Yin China
Enzo Mitidieri Italy
S. Kamin Israel
Roland Schnaubelt Germany
Alberto Tesei Italy
Philippe Souplet France
Stig–Olof Londen Finland
Anı́bal Rodrı́guez-Bernal Spain
Marco Squassina Italy
Frank Neubrander United States
Pavol Quíttner
Citations per year, relative to Pavol Quíttner Pavol Quíttner (= 1×) peers Frank Neubrander

Countries citing papers authored by Pavol Quíttner

Since Specialization
Citations

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

Fields of papers citing papers by Pavol Quíttner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pavol Quíttner

This figure shows the co-authorship network connecting the top 25 collaborators of Pavol Quíttner. A scholar is included among the top collaborators of Pavol Quíttner 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 Pavol Quíttner. Pavol Quíttner 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.
Quíttner, Pavol & Philippe Souplet. (2025). Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance. Journal of Differential Equations. 427. 404–441.
2.
Bartsch, Thomas, Peter Poláčik, & Pavol Quíttner. (2010). Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations. Journal of the European Mathematical Society. 13(1). 219–247. 23 indexed citations
3.
Ackermann, Nils, Thomas Bartsch, Petr Kaplický, & Pavol Quíttner. (2008). A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Transactions of the American Mathematical Society. 360(7). 3493–3540. 12 indexed citations
4.
Amann, Herbert & Pavol Quíttner. (2006). Optimal control problems governed by semilinear parabolic equations with low regularity data. Advances in Differential Equations. 11(1). 5 indexed citations
5.
Quíttner, Pavol, et al.. (2005). A priori bounds and complete blow-up of positive solutions of indefinite superlinear parabolic problems. Journal of Mathematical Analysis and Applications. 304(2). 614–631. 7 indexed citations
6.
Chipot, Michel & Pavol Quíttner. (2004). Handbook of differential equations. Elsevier eBooks. 87 indexed citations
7.
Quíttner, Pavol, et al.. (2004). A priori Estimates and Existence for Elliptic Systems via Bootstrap in Weighted Lebesgue Spaces. Archive for Rational Mechanics and Analysis. 174(1). 49–81. 45 indexed citations
8.
Quíttner, Pavol & Philippe Souplet. (2002). Global existence from single-component 𝐿_{𝑝} estimates in a semilinear reaction-diffusion system. Proceedings of the American Mathematical Society. 130(9). 2719–2724. 5 indexed citations
9.
Quíttner, Pavol. (2002). A priori bounds for solutions of parabolic problems and applications. Mathematica Bohemica. 127(2). 329–341. 3 indexed citations
10.
Quíttner, Pavol. (2001). A priori estimates of solutions of superlinear problems. Mathematica Bohemica. 126(2). 483–492. 1 indexed citations
11.
Quíttner, Pavol. (1999). A PRIORI BOUNDS FOR GLOBAL SOLUTIONS OF A SEMILINEAR PARABOLIC PROBLEM. 68(2). 195–203. 45 indexed citations
12.
Фила, Марек & Pavol Quíttner. (1999). The Blow-Up Rate for a Semilinear Parabolic System. Journal of Mathematical Analysis and Applications. 238(2). 468–476. 43 indexed citations
13.
Quíttner, Pavol. (1993). On global existence and stationary solutions for two classes of semilinear parabolic problems. Commentationes Mathematicae Universitatis Carolinae. 34(1). 105–124. 44 indexed citations
14.
Фила, Марек & Pavol Quíttner. (1991). The blow‐up rate for the heat equation with a non‐linear boundary condition. Mathematical Methods in the Applied Sciences. 14(3). 197–205. 61 indexed citations
15.
Chipot, Michel, Марек Фила, & Pavol Quíttner. (1991). Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions. Zurich Open Repository and Archive (University of Zurich). 60(1). 35–103. 81 indexed citations
16.
Quíttner, Pavol. (1990). A remark on the stability of stationary solutions of parabolic variational inequalities. Czechoslovak Mathematical Journal. 40(3). 472–474. 5 indexed citations
17.
Quíttner, Pavol. (1989). On positive solutions of semilinear elliptic problems. Commentationes Mathematicae Universitatis Carolinae. 30(3). 579–585. 4 indexed citations
18.
Quíttner, Pavol. (1989). Solvability and multiplicity results for variational inequalities. Commentationes Mathematicae Universitatis Carolinae. 30(2). 281–302. 19 indexed citations
19.
Quíttner, Pavol. (1986). Spectral analysis of variational inequalities. Commentationes Mathematicae Universitatis Carolinae. 27(3). 605–629. 38 indexed citations
20.
Quíttner, Pavol. (1982). Generic properties of von Kármán equations. Commentationes Mathematicae Universitatis Carolinae. 23(2). 399–413.

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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