2026 Enrico Valdinoci: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	61	505	426	14	12	326	19117

Research.com Recognitions

2019 - Australian Laureate Fellow

Overview

Enrico Valdinoci is affiliated with the University of Western Australia in Australia. Their research primarily spans the fields of Mathematics and Computer Science, with significant contributions in applied, computational, and mathematical physics domains. The subfields of study most frequently addressed include Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation, and Numerical Analysis.

Their work involves a focus on several main topics, including:

Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Nonlinear Differential Equations Analysis
Numerical methods in inverse problems
Fractional Differential Equations Solutions
Differential Equations and Boundary Problems
Geometric Analysis and Curvature Flows

Valdinoci has authored multiple recent papers notable for addressing the interplay between local and nonlocal elliptic operators as well as ecological modeling based on diffusion processes. Selected recent publications include:

"Mixed local and nonlocal elliptic operators: regularity and maximum principles" (2021), Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)
"(Non)local logistic equations with Neumann conditions" (2022), Annales de l Institut Henri Poincaré C Analyse Non Linéaire
"Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes" (2021), Physica A Statistical Mechanics and its Applications
"A Faber-Krahn inequality for mixed local and nonlocal operators" (2023), Journal d Analyse Mathématique
"Regularity results for solutions of mixed local and nonlocal elliptic equations" (2022), Mathematische Zeitschrift

Valdinoci's collaborations span several frequent coauthors, including Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli, Giorgio Poggesi, and Giovanni Giacomin, reflecting a network of research partnerships within PDEs and applied analysis.

The scholar has published in a variety of notable venues, frequently contributing to arXiv, Journal of Differential Equations, SSRN Electronic Journal, Communications in Partial Differential Equations, and Nonlinearity.

In addition to articles, Valdinoci has contributed to several book publications, including recent titles such as:

Elliptic Partial Differential Equations from an Elementary Viewpoint (2024, World Scientific)
The Lévy Flight Foraging Hypothesis in Bounded Regions (2024, Memoirs of the European Mathematical Society)
A New Lotka-Volterra Model of Competition With Strategic Aggression (2024, Frontiers in mathematics)
A Gentle Invitation to the Fractional World (2025, Springer International Publishing)

Valdinoci was recognized as an Australian Laureate Fellow in 2019.

Best Publications

Hitchhiker's guide to the fractional Sobolev spaces

Eleonora Di Nezza;Giampiero Palatucci;Giampiero Palatucci;Enrico Valdinoci;Enrico Valdinoci

4618
Citations
Mountain Pass solutions for non-local elliptic operators

Raffaella Servadei;Enrico Valdinoci

772
Citations
Variational methods for non-local operators of elliptic type

Raffaella Servadei;Enrico Valdinoci

767
Citations
The Brezis-Nirenberg result for the fractional Laplacian

Raffaella Servadei;Enrico Valdinoci

747
Citations
Nonlocal Diffusion and Applications

Claudia Bucur;Enrico Valdinoci

612
Citations
A critical Kirchhoff type problem involving a nonlocal operator

Alessio Fiscella;Enrico Valdinoci

479
Citations
On the spectrum of two different fractional operators

Raffaella Servadei;Enrico Valdinoci

345
Citations
From the long jump random walk to the fractional Laplacian

Enrico Valdinoci

327
Citations
Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result

Yannick Sire;Enrico Valdinoci

311
Citations
Nonlocal problems with Neumann boundary conditions

Serena Dipierro;Xavier Ros-Oton;Enrico Valdinoci

265
Citations
A Brezis-Nirenberg result for non-local critical equations in low dimension

Raffaella Servadei;Enrico Valdinoci

264
Citations
Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Serena Dipierro;Giampiero Palatucci;Enrico Valdinoci

263
Citations
Γ-convergence for nonlocal phase transitions

Ovidiu Savin;Enrico Valdinoci

256
Citations
Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators

Raffaella Servadei;Enrico Valdinoci

227
Citations
WEAK AND VISCOSITY SOLUTIONS OF THE FRACTIONAL LAPLACE EQUATION

Raffaella Servadei;Enrico Valdinoci

227
Citations
Uniform estimates and limiting arguments for nonlocal minimal surfaces

Luis A Caffarelli;Enrico Valdinoci

218
Citations
Fractional elliptic problems with critical growth in the whole of $\R^n$

Unknown

216
Citations
DENSITY PROPERTIES FOR FRACTIONAL SOBOLEV SPACES

Alessio Fiscella;Raffaella Servadei;Enrico Valdinoci

207
Citations
Local and global minimizers for a variational energy involving a fractional norm

Giampiero Palatucci;Giampiero Palatucci;Ovidiu Savin;Enrico Valdinoci

192
Citations
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

Begona Barrios Barrera;Begona Barrios Barrera;Alessio Figalli;Enrico Valdinoci

187
Citations
Existence and symmetry results for a Schr"odinger type problem involving the fractional Laplacian

Serena Dipierro;Giampiero Palatucci;Enrico Valdinoci

4
Citations

Frequent Co-Authors

Matteo Novaga University of Pisa

Alessio Figalli ETH Zurich

Luis A. Caffarelli The University of Texas at Austin

Rafael de la Llave Georgia Institute of Technology

Juan Dávila University of Bath

Manuel del Pino University of Bath

François Hamel Aix-Marseille University

Ireneo Peral Autonomous University of Madrid

Elisabetta Rocca University of Pavia

Antonin Chambolle Paris Dauphine University

External Links

Personal website of Enrico Valdinoci

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