Bernhard Ruf

3.8k citations

98 papers · 2.3k indexed · h-index 24

Impact in

Applied Mathematics top 0.1%
- Nonlinear Partial Differential Equations
- Nonlinear Differential Equations Analysis
- Geometric Analysis and Curvature Flows
- Differential Equations and Boundary Problems
Mathematical Physics top 0.5%
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics

Papers in ⓘ

Applied Mathematics 82
- Nonlinear Partial Differential Equations 73
- Differential Equations and Boundary Problems 15
- Nonlinear Differential Equations Analysis 14
Computational Theory and Mathematics 64
- Advanced Mathematical Modeling in Engineering 63

Co-authors: Djairo G. de Figueiredo (11 shared papers)João Marcos do Ó (11 shared papers)Olı́mpio H. Miyagaki (1 shared paper)Yuxiang Li (1 shared paper)Marta Calanchi (10 shared papers)Federica Sani (3 shared papers)P. N. Srikanth (8 shared papers)Yanheng Ding (4 shared papers)
Journals: Journal of Functional Analysis (8 papers)Nonlinear Analysis (7 papers)Calculus of Variations and Partial Differential Equations (6 papers)Journal of Differential Equations (6 papers)Communications in Contemporary Mathematics (5 papers)
Partner nations: Italy Brazil China

In The Last Decade

Bernhard Ruf

91 papers receiving 2.1k citations

Peers

Countries citing papers authored by Bernhard Ruf

Since Specialization

Citations

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

Fields of papers citing papers by Bernhard Ruf

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Bernhard Ruf, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Bernhard Ruf Line = papers co-authored together Bernhard Ruf links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 98 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Elliptic equations in R2 with nonlinearities in the critical growth range Calculus of Variations and Partial Differential Equations ·Djairo G. de Figueiredo, Olı́mpio H. Miyagaki, Bernhard Ruf	1995	328
2	A sharp Trudinger–Moser type inequality for unbounded domains in R2 Journal of Functional Analysis ·Bernhard Ruf	2005	279
3	A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$ Indiana University Mathematics Journal ·Yuxiang Li, Bernhard Ruf	2008	192
4	On an inequality by N. Trudinger and J. Moser and related elliptic equations Communications on Pure and Applied Mathematics ·Djairo G. de Figueiredo, João Marcos do Ó, Bernhard Ruf	2001	125
5	Sharp Adams-type inequalities in ℝⁿ Transactions of the American Mathematical Society ·Bernhard Ruf, Federica Sani	2012	74
6	Lower-order perturbations of critical growth nonlinearities in semilinear elliptic equations Advances in Differential Equations ·Filippo Gazzola, Bernhard Ruf	1997	74
7	Critical and subcritical elliptic systems in dimension two Indiana University Mathematics Journal ·Djairo G. de Figueiredo, João Marcos do Ó, Bernhard Ruf	2004	62
8	An Orlicz-space approach to superlinear elliptic systems Journal of Functional Analysis ·Djairo G. de Figueiredo, João Marcos do Ó, Bernhard Ruf	2004	59
9	Elliptic equations and systems with critical Trudinger-Moser nonlinearities Discrete and Continuous Dynamical Systems ·Djairo G. de Figueiredo, João Marcos do Ó, Bernhard Ruf	2011	58
10	Solutions of a Nonlinear Dirac Equation with External Fields Archive for Rational Mechanics and Analysis ·Yanheng Ding, Bernhard Ruf	2008	51
11	Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces Communications on Pure and Applied Mathematics ·Henri Berestycki, Jean‐Michel Lasry, G.B. John Mancini, Bernhard Ruf	1985	50
12	On nonlinear elliptic problems with jumping nonlinearities Annali di Matematica Pura ed Applicata (1923 -) ·Bernhard Ruf	1981	47
13	On Trudinger–Moser type inequalities with logarithmic weights Journal of Differential Equations ·Marta Calanchi, Bernhard Ruf	2014	43
14	Trudinger–Moser type inequalities with logarithmic weights in dimension N Nonlinear Analysis ·Marta Calanchi, Bernhard Ruf	2015	40
15	Existence and Concentration of Semiclassical Solutions for Dirac Equations with Critical Nonlinearities SIAM Journal on Mathematical Analysis ·Yanheng Ding, Bernhard Ruf	2012	36
16	New solutions for Trudinger–Moser critical equations in R2 Journal of Functional Analysis ·Manuel del Pino, Monica Musso, Bernhard Ruf	2009	33
17	On a Schrödinger equation with periodic potential and critical growth in $$\mathbb{R}^{2} $$ Nonlinear Differential Equations and Applications NoDEA ·João Marcos do Ó, Bernhard Ruf	2006	33
18	Elliptic Systems with Nonlinearities of Arbitrary Growth Mediterranean Journal of Mathematics ·Djairo G. de Figueiredo, Bernhard Ruf	2004	32
19	Nonlinear Equations: Methods, Models and Applications Birkhäuser Basel eBooks ·Daniela Lupo, Carlo Pagani, Bernhard Ruf	2003	28
20	Elliptic equations in dimension 2 with double exponential nonlinearities Nonlinear Differential Equations and Applications NoDEA ·Marta Calanchi, Bernhard Ruf, Federica Sani	2017	27

About Bernhard Ruf

Bernhard Ruf is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Numerical Analysis and Geometry and Topology, having authored 98 papers that have together received 2.3k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (73 papers), Advanced Mathematical Modeling in Engineering (63 papers), Spectral Theory in Mathematical Physics (15 papers), Differential Equations and Boundary Problems (15 papers), Nonlinear Differential Equations Analysis (14 papers), Advanced Mathematical Physics Problems (14 papers), Numerical methods in inverse problems (12 papers) and Differential Equations and Numerical Methods (11 papers). The work is most often cited by research in Applied Mathematics (2.1k citations), Mathematical Physics (1.1k citations), Computational Theory and Mathematics (1.6k citations), Numerical Analysis (131 citations) and Geometry and Topology (145 citations). Bernhard Ruf has collaborated with scholars based in Italy, Brazil and China. Frequent co-authors include Djairo G. de Figueiredo, João Marcos do Ó, Olı́mpio H. Miyagaki, Yuxiang Li, Marta Calanchi, Federica Sani, P. N. Srikanth, Yanheng Ding, Filippo Gazzola and Cristina Tarsi. Their work appears in journals such as Journal of Functional Analysis, Nonlinear Analysis, Calculus of Variations and Partial Differential Equations, Journal of Differential Equations and Communications in Contemporary Mathematics.

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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