Alexander Quaas

2.5k total citations · 1 hit paper
78 papers, 1.6k citations indexed

About

Alexander Quaas is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Alexander Quaas has authored 78 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 75 papers in Applied Mathematics, 62 papers in Computational Theory and Mathematics and 30 papers in Mathematical Physics. Recurrent topics in Alexander Quaas's work include Nonlinear Partial Differential Equations (75 papers), Advanced Mathematical Modeling in Engineering (62 papers) and Nonlinear Differential Equations Analysis (31 papers). Alexander Quaas is often cited by papers focused on Nonlinear Partial Differential Equations (75 papers), Advanced Mathematical Modeling in Engineering (62 papers) and Nonlinear Differential Equations Analysis (31 papers). Alexander Quaas collaborates with scholars based in Chile, Spain and France. Alexander Quaas's co-authors include Patricio Felmer, Jinggang Tan, Boyan Sirakov, Leandro M. Del Pezzo, Jorge García-Melián, Maria J. Esteban, Huyuan Chen, Jérôme Busca, Begoña Barrios and Moxun Tang and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Alexander Quaas

71 papers receiving 1.4k citations

Hit Papers

Positive solutions of the nonlinear Schrödinger equation ... 2012 2026 2016 2021 2012 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. Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
    2012 491 citations Patricio Felmer, Alexander Quaas et al. Proceedings of the Royal Society of Edinburgh Section A Mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alexander Quaas Chile 19 1.4k 1.1k 622 110 103 78 1.6k
Joaquim Serra Spain 15 953 0.7× 727 0.7× 427 0.7× 109 1.0× 94 0.9× 27 1.1k
Matteo Bonforte Spain 16 658 0.5× 517 0.5× 286 0.5× 92 0.8× 90 0.9× 32 751
Jinggang Tan Chile 11 1.2k 0.8× 784 0.7× 616 1.0× 92 0.8× 113 1.1× 16 1.3k
Boyan Sirakov France 20 1.1k 0.7× 763 0.7× 633 1.0× 115 1.0× 27 0.3× 40 1.2k
Tsung‐fang Wu Taiwan 22 1.7k 1.2× 1.3k 1.2× 628 1.0× 96 0.9× 47 0.5× 103 1.8k
Pablo Raúl Stinga United States 13 612 0.4× 341 0.3× 362 0.6× 84 0.8× 169 1.6× 33 783
Angelo Alvino Italy 17 1.0k 0.7× 750 0.7× 516 0.8× 70 0.6× 21 0.2× 47 1.1k
Giovanna Cerami Italy 16 1.6k 1.1× 1.2k 1.1× 787 1.3× 143 1.3× 17 0.2× 30 1.7k
Moritz Kaßmann Germany 15 746 0.5× 527 0.5× 459 0.7× 48 0.4× 58 0.6× 38 917
Raffaella Servadei Italy 23 3.2k 2.2× 2.5k 2.3× 998 1.6× 204 1.9× 275 2.7× 60 3.3k

Countries citing papers authored by Alexander Quaas

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Quaas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Quaas

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Quaas. A scholar is included among the top collaborators of Alexander Quaas 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 Alexander Quaas. Alexander Quaas 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.
Quaas, Alexander, et al.. (2024). Large harmonic functions for fully nonlinear fractional operators. Communications in Partial Differential Equations. 49(10-12). 919–937.
2.
Barrios, Begoña, et al.. (2022). Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in $ \mathbb{R}^N $. Discrete and Continuous Dynamical Systems. 43(5). 1763–1786. 1 indexed citations
3.
Quaas, Alexander, et al.. (2020). Principal eigenvalues of fully nonlinear integro-differential elliptic equations with a drift term. ESAIM Control Optimisation and Calculus of Variations. 26. 36–36. 7 indexed citations
4.
Barrios, Begoña, Jorge García-Melián, & Alexander Quaas. (2019). Periodic solutions for the one-dimensional fractional Laplacian. Journal of Differential Equations. 267(9). 5258–5289. 7 indexed citations
5.
Pezzo, Leandro M. Del & Alexander Quaas. (2016). Global Bifurcation for Fractional $p$-Laplacian and an Application. Zeitschrift für Analysis und ihre Anwendungen. 35(4). 411–447. 31 indexed citations
6.
Quaas, Alexander, et al.. (2016). On critical exponents for Lane–Emden–Fowler-type equations with a singular extremal operator. Annali di Matematica Pura ed Applicata (1923 -). 196(2). 599–615. 2 indexed citations
7.
Quaas, Alexander, et al.. (2016). Classification of supersolutions and Liouville theorems for some nonlinear elliptic problems. Discrete and Continuous Dynamical Systems. 36(9). 4703–4721. 12 indexed citations
8.
García-Melián, Jorge, et al.. (2014). Existence and non-existence of solutions to elliptic equations with a general convection term. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 144(2). 225–239. 9 indexed citations
9.
Felmer, Patricio, Alexander Quaas, & Jinggang Tan. (2012). Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 142(6). 1237–1262. 491 indexed citations breakdown →
10.
García-Melián, Jorge, et al.. (2012). Nonexistence of positive supersolutions to some nonlinear elliptic problems. Journal de Mathématiques Pures et Appliquées. 99(5). 618–634. 15 indexed citations
11.
García-Melián, Jorge, et al.. (2011). Keller–Osserman type conditions for some elliptic problems with gradient terms. Journal of Differential Equations. 252(2). 886–914. 34 indexed citations
12.
Felmer, Patricio, Alexander Quaas, & Boyan Sirakov. (2011). Existence and regularity results for fully nonlinear equations with singularities. Mathematische Annalen. 354(1). 377–400. 7 indexed citations
13.
Felmer, Patricio & Alexander Quaas. (2010). Fundamental solutions and Liouville type theorems for nonlinear integral operators. Advances in Mathematics. 226(3). 2712–2738. 49 indexed citations
14.
Quaas, Alexander, et al.. (2010). Fujita type exponent for fully nonlinear parabolic equations and existence results. Journal of Mathematical Analysis and Applications. 376(2). 514–527. 4 indexed citations
15.
Felmer, Patricio & Alexander Quaas. (2009). Fundamental solutions and two properties of elliptic maximal and minimal operators. Transactions of the American Mathematical Society. 361(11). 5721–5736. 26 indexed citations
16.
Felmer, Patricio, Alexander Quaas, Moxun Tang, & Jianshe Yu. (2009). Random dynamics of gene transcription activation in single cells. Journal of Differential Equations. 247(6). 1796–1816. 10 indexed citations
17.
Felmer, Patricio, Marcelo Montenegro, & Alexander Quaas. (2008). A note on the strong maximum principle and the compact support principle. Journal of Differential Equations. 246(1). 39–49. 13 indexed citations
18.
Quaas, Alexander & Boyan Sirakov. (2008). Solvability of monotone systems of fully nonlinear elliptic PDE's. Comptes Rendus Mathématique. 346(11-12). 641–644. 3 indexed citations
19.
Felmer, Patricio & Alexander Quaas. (2004). Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator. Journal of Differential Equations. 199(2). 376–393. 39 indexed citations
20.
Felmer, Patricio & Alexander Quaas. (2002). Critical exponents for the Pucci's extremal operators. Comptes Rendus Mathématique. 335(11). 909–914. 12 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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