Leaderboards/Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Ángel Crespo‐Blanco
Technische Universität Berlin
2
Cristiana De Filippis
University of Parma
3
Rakesh Arora
Indian Institute of Technology BHU
4
Elia Brué
Bocconi University
5
Angela Alberico
Istituto per le Applicazioni del Calcolo Mauro Picone
6
Jin Tao
Beijing Normal University
7
Laura Baldelli
University of Florence
8
Xinfu Li
China University of Geosciences (Beijing)
9
Jamil Chaker
Bielefeld University
10
Sumiya Baasandorj
Seoul National University

Rising Stars Papers

1
On logarithmic double phase problems
Journal of Differential Equations|2025
22 cit.
2
Least energy sign-changing solution for degenerate Kirchhoff double phase problems
Journal of Differential Equations|2024
17 cit.
3
Normalized solutions to a class of (2, <i>q</i> )-Laplacian equations
Advanced Nonlinear Studies|2025
12 cit.
4
$C^{1,\alpha}$-regularity for a class of degenerate/singular fully non-linear elliptic equations
Interfaces and Free Boundaries Mathematical Analysis Computation and Applications|2024
8 cit.
5
Logarithmic double phase problems with generalized critical growth
Nonlinear Differential Equations and Applications NoDEA|2025
8 cit.
6
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows
Archive for Rational Mechanics and Analysis|2024
7 cit.
7
Existence and regularity for a <i>p</i>-Laplacian problem in ℝ<sup> <i>N</i> </sup> with singular, convective, and critical reaction
Advances in Nonlinear Analysis|2024
6 cit.
8
Optimal global second-order regularity and improved integrability for parabolic equations with variable growth
Advances in Nonlinear Analysis|2024
5 cit.
9
Quantified Legendreness and the Regularity of Minima
Archive for Rational Mechanics and Analysis|2024
4 cit.
10
Monotonicity formulas and &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;$\text{(S}_+)$&lt;/tex-math&gt;&lt;/inline-formula&gt;-property: Old and new
Discrete and Continuous Dynamical Systems - S|2024
4 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Bitao Cheng
Qujing Normal University
2
Teresa Isernia
Marche Polytechnic University
3
Xuexiu Zhong
South China Normal University
4
Guolin Qin
Academy of Mathematics and Systems Science
5
Leandro S. Tavares
Universidade Federal do ABC
6
Saïd Melliani
Université Sultan Moulay Slimane
7
Sara Saldi
University of Perugia
8
Mohammed Srati
Mohamed I University
9
Mohammed Shimi
Sidi Mohamed Ben Abdellah University
10
Andrea Scapellato
University of Catania

Emerging Leaders Papers

1
Normalized solution to the Schrödinger equation with potential and general nonlinear term: Mass super-critical case
Journal of Differential Equations|2022
73 cit.
2
Existence and blow up behavior of positive normalized solution to the Kirchhoff equation with general nonlinearities: Mass super-critical case
Journal of Differential Equations|2023
39 cit.
3
The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation
Advanced Nonlinear Studies|2023
33 cit.
4
A global branch approach to normalized solutions for the Schrödinger equation
Journal de Mathématiques Pures et Appliquées|2024
31 cit.
5
Existence result for Neumann problems with p(x)-Laplacian-like operators in generalized Sobolev spaces
Rendiconti del Circolo Matematico di Palermo Series 2|2022
30 cit.
6
Existence of Solutions for a Singular Double Phase Problem Involving a $$\psi $$-Hilfer Fractional Operator Via Nehari Manifold
Qualitative Theory of Dynamical Systems|2023
27 cit.
7
On a class of p(x)-Laplacian-like Dirichlet problem depending on three real parameters
Arabian Journal of Mathematics|2022
23 cit.
8
Existence and uniqueness results for a class of p(x)-Kirchhoff-type problems with convection term and Neumann boundary data
Journal of Elliptic and Parabolic Equations|2022
23 cit.
9
Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane—Emden—Hardy equations
Journal d Analyse Mathématique|2022
21 cit.
10
Solutions of the mean curvature equation with the Nehari manifold
Computational and Applied Mathematics|2023
20 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Enrico Valdinoci
The University of Western Australia
2
Giuseppe Mingione
University of Parma
3
Vicenţiu D. Rădulescu
Institute of Applied Mechanics
4
Joel Spruck
Brooklyn College
5
Zhi-Qiang Wang
Utah State University
6
Paul H. Rabinowitz
University of Pisa
7
Juncheng Wei
Chinese University of Hong Kong
8
Congming Li
Shanghai Jiao Tong University
9
Wenming Zou
Tsinghua University
10
Binlin Zhang
Shandong University of Science and Technology

Current Senior Leaders Papers

1
Dual variational methods in critical point theory and applications
Journal of Functional Analysis|1973
4.4k cit.
2
Hitchhikerʼs guide to the fractional Sobolev spaces
Bulletin des Sciences Mathématiques|2011
4.3k cit.
3
Bifurcation from simple eigenvalues
Journal of Functional Analysis|1971
2.1k cit.
4
Some global results for nonlinear eigenvalue problems
Journal of Functional Analysis|1971
1.9k cit.
5
On a class of nonlinear Schr�dinger equations
Zeitschrift für angewandte Mathematik und Physik|1992
1.6k cit.
6
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
Communications on Pure and Applied Mathematics|1989
1.3k cit.
7
Global and local behavior of positive solutions of nonlinear elliptic equations
Communications on Pure and Applied Mathematics|1981
1.3k cit.
8
Motion of level sets by mean curvature. I
Journal of Differential Geometry|1991
1.2k cit.
9
Classification of solutions of some nonlinear elliptic equations
Duke Mathematical Journal|1991
996 cit.
10
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
Acta Mathematica|1985
883 cit.

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