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Giuseppe Buttazzo

Giuseppe Buttazzo

D-Index & Metrics

Mathematics

D-Index
47
Citations
9888
World Ranking
1259
National Ranking
31

Overview

Giuseppe Buttazzo is affiliated with the University of Pisa in Italy and has built a research profile centered on mathematics and its applications, integrating aspects of computer science and engineering. Their work focuses particularly on advanced mathematical modeling, nonlinear partial differential equations, and geometric and analytic function theory.

The scientist has contributed to several specialized subfields, including applied mathematics, computational theory and mathematics, geometry and topology, mathematical physics, and civil and structural engineering.

Buttazzo's research topics reflect a diverse interest in mathematical methodologies and their application to engineering problems, covering areas such as:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Analytic and geometric function theory
  • Numerical methods in inverse problems
  • Topology Optimization in Engineering
  • Composite Material Mechanics
  • Point processes and geometric inequalities

Their recent publications highlight ongoing contributions to mathematical optimization and analysis. Selected papers include:

  • "Some Inequalities Involving Perimeter and Torsional Rigidity," 2020, Applied Mathematics & Optimization
  • "Inequalities between torsional rigidity and principal eigenvalue of the p-Laplacian," 2022, Calculus of Variations and Partial Differential Equations
  • "On relations between principal eigenvalue and torsional rigidity," 2020, Communications in Contemporary Mathematics
  • "Dissociating limit in density functional theory with Coulomb optimal transport cost," 2021, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  • "On a class of Cheeger inequalities," 2022, Annali di Matematica Pura ed Applicata (1923 -)

Buttazzo frequently collaborates with other researchers. Notable coauthors include:

  • Luca Briani
  • Francesca Prinari
  • Francesco Paolo Maiale
  • M. van den Berg
  • Aldo Pratelli

The scientist's publications appear in various academic venues, with a significant number published on arXiv (Cornell University). Other notable journals include:

  • SIAM Journal on Mathematical Analysis
  • Applied Mathematics & Optimization
  • Calculus of Variations and Partial Differential Equations
  • Communications in Contemporary Mathematics

Best Publications

  • Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization

    Hedy Attouch;Giuseppe Buttazzo;Gérard Michaille

  • Variational methods in shape optimization problems

    Dorin Bucur;Giuseppe Buttazzo

  • Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations

    Giuseppe Buttazzo

  • One-dimensional variational problems : an introduction

    Giuseppe Buttazzo;Mariano Giaquinta;Stefan Hildebrandt

  • An optimal design problem with perimeter penalization

    Luigi Ambrosio;Giuseppe Buttazzo

  • One-dimensional Variational Problems

    Giuseppe Buttazzo;Mariano Giaquinta;Stefan Hildebrandt

  • An existence result for a class of shape optimization problems

    Giuseppe Buttazzo;Gianni Dal Maso

  • A variational definition of the strain energy for an elastic string

    Emilio Acerbi;Giuseppe Buttazzo;Danilo Percivale

  • Rate monotonic analysis: the hyperbolic bound

    E. Bini;G.C. Buttazzo;G.M. Buttazzo

  • General existence theorems for unilateral problems in continuum mechanics

    Claudio Baiocchi;Giuseppe Buttazzo;Fabio Gastaldi;Franco Tomarelli

  • Minimum Problems over Sets of Concave Functions and Related Questions

    Giuseppe Buttazzo;Vincenzo Ferone;Bernhard Kawohl

  • A hyperbolic bound for the rate monotonic algorithm

    E. Bini;G. Buttazzo

  • Optimal-transport formulation of electronic density-functional theory

    Giuseppe Buttazzo;Luigi De Pascale;Paola Gori-Giorgi

  • Characterization of optimal shapes and masses through Monge-Kantorovich equation

    Guy Bouchitté;Giuseppe Buttazzo

  • Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions

    Giuseppe Buttazzo;Gianni Dal Maso

  • Energies with respect to a measure and applications to low-dimensional structures

    Guy Bouchitte;Giuseppe Buttazzo;Pierre Seppecher

  • Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization (Mps-Siam Series on Optimization 6)

    Hedy Attouch;Giuseppe Buttazzo;Gerard Michaille

  • Optimal Transportation and Applications

    Luigi Ambrosio;Luis A. Caffarelli;Yann Brenier;Giuseppe Buttazzo

  • Γ-convergence and optimal control problems

    G. Buttazzo;G. Dal Maso

  • Journal of Convex Analysis

    G Buttazzo;L Thibault;R J B Wets;H Attouch

  • Mean curvature of a measure and related variational problems

    Guy Bouchitté;Giuseppe Buttazzo;Ilaria Fragalà

  • Calculus of Variations and Partial Differential Equations

    Luigi Ambrosio;Norman Dancer;Giuseppe Buttazzo;Antonio Marino

Frequent Co-Authors

Hedy Attouch
Hedy Attouch University of Montpellier
Guy Bouchitté
Guy Bouchitté Université de Toulon
Filippo Santambrogio
Filippo Santambrogio Claude Bernard University Lyon 1
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Guillaume Carlier
Guillaume Carlier Paris Dauphine University
Enrico Bini
Enrico Bini University of Turin
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh
Pierre Suquet
Pierre Suquet Aix-Marseille University
Antonio Bicchi
Antonio Bicchi Italian Institute of Technology

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