Patrick Winkert

2.0k total citations · 1 hit paper
101 papers, 1.3k citations indexed

About

Patrick Winkert is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Patrick Winkert has authored 101 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 88 papers in Computational Theory and Mathematics, 88 papers in Applied Mathematics and 26 papers in Mathematical Physics. Recurrent topics in Patrick Winkert's work include Nonlinear Partial Differential Equations (83 papers), Advanced Mathematical Modeling in Engineering (80 papers) and Contact Mechanics and Variational Inequalities (20 papers). Patrick Winkert is often cited by papers focused on Nonlinear Partial Differential Equations (83 papers), Advanced Mathematical Modeling in Engineering (80 papers) and Contact Mechanics and Variational Inequalities (20 papers). Patrick Winkert collaborates with scholars based in Germany, China and Italy. Patrick Winkert's co-authors include Shengda Zeng, Leszek Gasiński, Nikolaos S. Papageorgiou, Νικόλαος Παπαγεωργίου, Vicenţiu D. Rădulescu, Yunru Bai, Petteri Harjulehto, Alessio Fiscella, Ky Ho and Francesca Vetro and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

Patrick Winkert

89 papers receiving 1.2k citations

Hit Papers

align trajectories

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.

A new class of double phase variable exponent problems: Existence and uniqueness

2022 139 citations Leszek Gasiński, Patrick Winkert et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick Winkert Germany	19	1.2k	1.1k	321	212	114	101	1.3k
Leszek Gasiński Poland	20	1.6k 1.4×	1.7k 1.5×	425 1.3×	283 1.3×	231 2.0×	154	1.9k
Alexandru Kristály Romania	17	887 0.8×	743 0.6×	210 0.7×	110 0.5×	76 0.7×	84	1.0k
Mahamadi Warma Puerto Rico	20	711 0.6×	571 0.5×	381 1.2×	108 0.5×	51 0.4×	66	941
Juntao Sun China	24	1.3k 1.1×	634 0.6×	462 1.4×	337 1.6×	41 0.4×	71	1.4k
G. A. Afrouzi Iran	18	864 0.8×	557 0.5×	173 0.5×	318 1.5×	74 0.6×	206	1.1k
Shapour Heidarkhani Iran	17	1.1k 0.9×	570 0.5×	176 0.5×	370 1.7×	32 0.3×	164	1.1k
Mitsuharu Ôtani Japan	14	511 0.4×	472 0.4×	211 0.7×	75 0.4×	35 0.3×	59	677
Khaled Zennir Saudi Arabia	13	247 0.2×	343 0.3×	295 0.9×	87 0.4×	86 0.8×	138	651
Lorenzo Brasco Italy	16	747 0.6×	610 0.5×	364 1.1×	27 0.1×	42 0.4×	55	841
G. A. Sviridyuk Russia	14	675 0.6×	189 0.2×	392 1.2×	457 2.2×	50 0.4×	56	831

Countries citing papers authored by Patrick Winkert

Since Specialization

Citations

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

Fields of papers citing papers by Patrick Winkert

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Patrick Winkert

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick Winkert. A scholar is included among the top collaborators of Patrick Winkert 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 Patrick Winkert. Patrick Winkert is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Gasiński, Leszek, et al.. (2025). Least energy sign-changing solution for logarithmic double phase problems with nonlinear boundary condition. Calculus of Variations and Partial Differential Equations. 64(8).

Carl, Siegfried, Vy Khoi Le, & Patrick Winkert. (2025). Multi-valued variational inequalities for variable exponent double phase problems: comparison and extremality results. Journal of Elliptic and Parabolic Equations. 11(1). 223–264. 1 indexed citations

Zeng, Shengda, et al.. (2025). Existence and stability for a class of variational–hemivariational inequalities involving multivalued Brezis pseudomonotone operators. Journal of Global Optimization. 92(4). 1021–1043. 1 indexed citations

Winkert, Patrick, et al.. (2025). Degenerate singular Kirchhoff problems in Musielak–Orlicz spaces. Nonlinear Analysis. 264. 113986–113986.

Carl, Siegfried & Patrick Winkert. (2024). Parabolic double phase obstacle problems. Nonlinear Analysis Real World Applications. 80. 104169–104169. 2 indexed citations

Winkert, Patrick, et al.. (2024). Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition. Advances in Nonlinear Analysis. 13(1).

Παπαγεωργίου, Νικόλαος & Patrick Winkert. (2024). Applied Nonlinear Functional Analysis. 13 indexed citations

Zeng, Shengda, Vicenţiu D. Rădulescu, & Patrick Winkert. (2024). Nonlocal Double Phase Implicit Obstacle Problems with Multivalued Boundary Conditions. SIAM Journal on Mathematical Analysis. 56(1). 877–912. 17 indexed citations

Winkert, Patrick, et al.. (2024). Anisotropic $ (\vec{p}, \vec{q}) $-Laplacian problems with superlinear nonlinearities. SHILAP Revista de lepidopterología. 16(1). 1–23. 3 indexed citations

10.

Papageorgiou, Nikolaos S., Francesca Vetro, & Patrick Winkert. (2023). Sign changing solutions for critical double phase problems with variable exponent. Zeitschrift für Analysis und ihre Anwendungen. 42(1). 235–251. 6 indexed citations

11.

Liu, Yongjian, Van Thien Nguyen, Patrick Winkert, & Shengda Zeng. (2023). Coupled double phase obstacle systems involving nonlocal functions and multivalued convection terms. Monatshefte für Mathematik. 202(2). 363–376. 5 indexed citations

12.

Zeng, Shengda, Nikolaos S. Papageorgiou, & Patrick Winkert. (2023). Inverse Problems for Double-Phase Obstacle Problems with Variable Exponents. Journal of Optimization Theory and Applications. 196(2). 666–699. 7 indexed citations

13.

Zeng, Shengda, Yunru Bai, Vicenţiu D. Rădulescu, & Patrick Winkert. (2023). An inverse problem for a double phase implicit obstacle problem with multivalued terms. ESAIM Control Optimisation and Calculus of Variations. 29. 30–30. 5 indexed citations

14.

Ho, Ky & Patrick Winkert. (2023). New embedding results for double phase problems with variable exponents and a priori bounds for corresponding generalized double phase problems. Calculus of Variations and Partial Differential Equations. 62(8). 29 indexed citations

15.

Li, Lin, et al.. (2023). Existence and Concentration of Solutions for a 1-Biharmonic Choquard Equation with Steep Potential Well in $${{\textbf{R}}}^{N}$$. Journal of Geometric Analysis. 33(9). 2 indexed citations

16.

Tornatore, Elisabetta, et al.. (2023). Bounded weak solutions to superlinear Dirichlet double phase problems. Analysis and Mathematical Physics. 13(2). 5 indexed citations

17.

Zeng, Shengda, Vicenţiu D. Rădulescu, & Patrick Winkert. (2022). Double Phase Implicit Obstacle Problems with Convection and Multivalued Mixed Boundary Value Conditions. SIAM Journal on Mathematical Analysis. 54(2). 1898–1926. 62 indexed citations

18.

Fiscella, Alessio, et al.. (2021). Singular Finsler Double Phase Problems with Nonlinear Boundary Condition. SHILAP Revista de lepidopterología. 17 indexed citations

19.

Bai, Yunru, Leszek Gasiński, Patrick Winkert, & Shengda Zeng. (2020). W1,p versus C1: The nonsmooth case involving critical growth. Bulletin of Mathematical Sciences. 10(3). 2050009–2050009. 9 indexed citations

20.

Motreanu, Dumitru & Patrick Winkert. (2010). Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition. Le Matematiche. 65(2). 109–119. 7 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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