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D-Index & Metrics

Mathematics

D-Index
42
Citations
12543
World Ranking
1748
National Ranking
46

Overview

Nicola Fusco is affiliated with the University of Naples Federico II in Italy and focuses on research in mathematics, with a specialization in applied mathematics. Their scholarly work covers several subfields including applied mathematics, computational theory and mathematics, mathematical physics, geometry and topology, and computational mechanics.

Their research topics prominently involve nonlinear partial differential equations, geometric analysis and curvature flows, advanced mathematical modeling in engineering, point processes and geometric inequalities, numerical methods in inverse problems, advanced harmonic analysis research, and approximation theory and sequence spaces.

Frequent publication venues for Fusco include Value in Health, Journal of Functional Analysis, Calculus of Variations and Partial Differential Equations, CINECA IRIS Institutial research information system (University of Pisa), and Journal of Geometric Analysis.

  • Sharp stability for the Riesz potential, 2020, CINECA IRIS Institutial research information system (University of Pisa)
  • Total positive curvature and the equality case in the relative isoperimetric inequality outside convex domains, 2023, Calculus of Variations and Partial Differential Equations
  • Some weighted isoperimetric inequalities in quantitative form, 2023, Journal of Functional Analysis
  • Stationary Sets and Asymptotic Behavior of the Mean Curvature Flow with Forcing in the Plane, 2022, Journal of Geometric Analysis

Nicola Fusco has collaborated frequently with several coauthors including Paolo Marcellini, Carlo Sbordone, Massimiliano Morini, Aldo Pratelli, and Vesa Julin.

Best Publications

  • Functions of Bounded Variation and Free Discontinuity Problems

    Luigi Ambrosio;Diego Pallara;Nicola Fusco

  • Semicontinuity problems in the calculus of variations

    Emilio Acerbi;Nicola Fusco

  • The sharp quantitative isoperimetric inequality

    Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • Regularity for Minimizers of Non-quadratic Functionals: The Case 1 <p<2+

    E Acerbi;N Fusco

  • Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

    Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot

  • Minimality via Second Variation for a Nonlocal Isoperimetric Problem

    E. Acerbi;N. Fusco;M. Morini

  • Some remarks on the regularity of minima of anisotropic integrals

    Nicola Fusco;Carlos bordone

  • A regularity theorem for minimizers of quasiconvex integrals

    Emilio Acerbi;Nicola Fusco

  • Partial Regularity under Anisotropic (p,q) Growth Conditions

    E. Acerbi;N. Fusco

  • The sharp Sobolev inequality in quantitative form

    Andrea Cianchi;Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • Partial regularity of minimizers of quasiconvex integrals with subquadratic growth

    Menita Carozza;Nicola Fusco;Giuseppe Mingione

  • Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions

    Nicola Fusco;Carlo Sbordone

  • On the isoperimetric deficit in gauss space

    Andrea Cianchi;Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • C1, ? Partial regularity of functions minimising quasiconvex integrals

    Nicola Fusco;John Hutchinson

  • Functions of Bounded Variation¶and Rearrangements

    Andrea Cianchi;Nicola Fusco

  • Sobolev imbedding theorems in borderline cases

    Nicola Fusco;Pierre Lions;Carlo Sbordone

  • On the homogenization of quasilinear divergence structure operators

    N. Fusco;G. Moscariello

  • The quantitative isoperimetric inequality and related topics

    Nicola Fusco

  • Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities

    Nicola Fusco;Francesco Maggi;Aldo Pratelli

  • Partial regularity for minimisers of certain functionals having nonquadratic growth

    Nicola Fusco;John Hutchinson

  • Regularity results for anisotropic image segmentation models

    Irene Fonseca;Nicola Fusco

  • Calculus of Variations and Nonlinear Partial Differential Equations

    Luigi Ambrosio;Luis Caffarelli;Michael G. Crandall;Lawrence C. Evans

Frequent Co-Authors

Irene Fonseca
Irene Fonseca Carnegie Mellon University
Andrea Cianchi
Andrea Cianchi University of Florence
Paolo Marcellini
Paolo Marcellini University of Florence
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Giuseppe Mingione
Giuseppe Mingione University of Parma
Michael G. Crandall
Michael G. Crandall University of California, Santa Barbara
Lawrence C. Evans
Lawrence C. Evans University of California, Berkeley
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Frank Duzaar
Frank Duzaar University of Erlangen-Nuremberg

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