2026 Ovidiu Savin: Mathematics Researcher – H-Index, Publications & Awards

Overview

Ovidiu Savin is affiliated with Columbia University in the United States. Their research primarily focuses on mathematics, with significant contributions in applied mathematics and computational theory and mathematics. The subfields they work in include mathematical physics, geometry and topology, and numerical analysis.

The scientist's main topics of work cover nonlinear partial differential equations, advanced mathematical modeling in engineering, geometric analysis and curvature flows, spectral theory in mathematical physics, differential equations and boundary problems, numerical methods in inverse problems, and geometry and complex manifolds.

Ovidiu Savin's recent published papers include the following:

Regularity of the singular set in the fully nonlinear obstacle problem (2021), Journal of the European Mathematical Society
A short proof of Boundary Harnack Principle (2020), Journal of Differential Equations
Contact points with integer frequencies in the thin obstacle problem (2023), Communications on Pure and Applied Mathematics
On the fine regularity of the singular set in the nonlinear obstacle problem (2022), Nonlinear Analysis
Non C1 solutions to the special Lagrangian equation (2024), Duke Mathematical Journal

Frequent publication venues where Ovidiu Savin has contributed include:

arXiv (Cornell University)
Journal of the European Mathematical Society
American Journal of Mathematics
Mathematics in Engineering
Archive for Rational Mechanics and Analysis

Ovidiu Savin has collaborated often with the following co-authors:

Daniela De Silva
Hui Yu
Serena Dipierro
Enrico Valdinoci
D. De Silva

In addition to journal publications, Ovidiu Savin has contributed to book publications, including a title published by Springer Nature in 2024 titled Geometric and Analytic Aspects of Functional Variational Principles.

Best Publications

Γ-convergence for nonlocal phase transitions

Ovidiu Savin;Enrico Valdinoci

256
Citations
Small Perturbation Solutions for Elliptic Equations

Ovidiu Savin

219
Citations
Local and global minimizers for a variational energy involving a fractional norm

Giampiero Palatucci;Giampiero Palatucci;Ovidiu Savin;Enrico Valdinoci

192
Citations
C1 regularity for infinity harmonic functions in two dimensions

Ovidiu Savin

181
Citations
Regularity of nonlocal minimal cones in dimension 2

Ovidiu Savin;Enrico Valdinoci

163
Citations
Density estimates for a variational model driven by the Gagliardo norm

Ovidiu Savin;Enrico Valdinoci

144
Citations
C 1, α regularity for infinity harmonic functions in two dimensions

Lawrence C. Evans;Ovidiu Savin

127
Citations
All functions are locally $s$-harmonic up to a small error

Serena Dipierro;Serena Dipierro;Ovidiu Savin;Enrico Valdinoci

119
Citations
Some remarks on stability of cones for the one-phase free boundary problem

David Jerison;Ovidiu Savin

116
Citations
Boundary Harnack estimates in slit domains and applications to thin free boundary problems

Daniela De Silva;Ovidiu Savin

80
Citations
A note on interior $$W^{2,1+ arepsilon }$$ estimates for the Monge–Ampère equation

G. De Philippis;Alessio Figalli;O. Savin

70
Citations
Diffeomorphisms and Nonlinear Heat Flows

L. C. Evans;O. Savin;Wilfrid Gangbo

69
Citations
Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality

Ovidiu Savin;Enrico Valdinoci

69
Citations
Minimizers of convex functionals arising in random surfaces

Daniela De Silva;Ovidiu Savin

62
Citations
Graph properties for nonlocal minimal surfaces

Serena Dipierro;Serena Dipierro;Ovidiu Savin;Enrico Valdinoci

58
Citations
Rigidity of minimizers in nonlocal phase transitions

Ovidiu Savin

57
Citations
A note on higher regularity boundary Harnack inequality

Daniela De Silva;Ovidiu Savin

47
Citations
Schauder estimates for degenerate Monge–Ampère equations and smoothness of the eigenfunctions

Nam Q. Le;Ovidiu Savin

39
Citations
A note on interior $W^{2,1+arepsilon}$ estimates for the Monge-Ampere equation

Guido De philippis;Alessio Figalli;Ovidiu Savin

4
Citations
Pointwise $C^{2,lpha}$ estimates at the boundary for the Monge-Ampere equation

Ovidiu Savin

4
Citations

Frequent Co-Authors

Enrico Valdinoci University of Western Australia

Alessio Figalli ETH Zurich

Lawrence C. Evans University of California, Berkeley

Changyou Wang Purdue University West Lafayette

Wilfrid Gangbo University of California, Los Angeles

External Links

Personal website of Ovidiu Savin

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