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Mathematics

D-Index
55
Citations
15410
World Ranking
781
National Ranking
18

Overview

Gianni Dal Maso is affiliated with the International School for Advanced Studies in Italy. Their research centers on mathematics, computer science, and engineering, with a significant focus on computational theory and mathematics as well as applied mathematics. They have contributed notably to the fields of mechanics of materials, mathematical physics, and control and systems engineering.

The scientist's work addresses advanced mathematical modeling in engineering, nonlinear partial differential equations, composite material mechanics, contact mechanics and variational inequalities, numerical methods in engineering, stability and controllability of differential equations, and stochastic processes along with statistical mechanics.

Their recent publications include:

  • "A global method for deterministic and stochastic homogenisation in BV," 2022, Annals of PDE
  • "A new space of generalised functions with bounded variation motivated by fracture mechanics," 2022, Nonlinear Differential Equations and Applications NoDEA
  • "Compactness for a class of integral functionals with interacting local and non-local terms," 2023, Calculus of Variations and Partial Differential Equations
  • "Validity and failure of the integral representation of Γ-limits of convex non-local functionals," 2024, Journal of Functional Analysis
  • "On the jerky crack growth in elastoplastic materials," 2020, Calculus of Variations and Partial Differential Equations

Gianni Dal Maso frequently collaborates with several researchers, including Andrea Braides, Rodica Toader, Claude Le Bris, Filippo Cagnetti, and Lucia Scardia.

Their work appears primarily in journals such as arXiv (Cornell University), Calculus of Variations and Partial Differential Equations, Nonlinear Analysis, Annals of PDE, and Nonlinear Differential Equations and Applications NoDEA.

Best Publications

  • An Introduction to Γ-Convergence

    Gianni Dal Maso

  • Renormalized solutions of elliptic equations with general measure data

    Gianni Dal Maso;François Murat;Luigi Orsina;Alain Prignet

  • A Model for the Quasi-Static Growth of Brittle Fractures: Existence and Approximation Results

    Gianni Dal Maso;Rodica Toader

  • Quasistatic Crack Growth in Nonlinear Elasticity

    Gianni Dal Maso;Gilles A. Francfort;Rodica Toader

  • Fine Properties of Functions with Bounded Deformation

    Luigi Ambrosio;Alessandra Coscia;Gianni Dal Maso

  • An Introduction to [gamma]-convergence

    Gianni Dal Maso

  • Nonlinear stochastic homogenization and ergodic theory

    Gianni Dal Maso;Luciano Modica

  • An extension theorem from connected sets, and homogenization in general periodic domains

    Unknown

  • A general chain rule for distributional derivatives

    L. Ambrosio;G. Dal Maso

  • A variational method in image segmentation: Existence and approximation results

    Gianni Dal Maso;Jean-Michel Morel;Sergio Solimini

  • Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials

    Gianni Dal Maso;Antonio DeSimone;Maria Giovanna Mora

  • An existence result for a class of shape optimization problems

    Giuseppe Buttazzo;Gianni Dal Maso

  • A model for the quasi-static growth of a brittle fracture: existence and approximation results

    Gianni Dal Maso;Rodica Toader

  • Nonlinear Stochastic Homogenization

    Gianni Dal Maso;Luciano Modica

  • Wiener's criterion and Γ-convergence

    Gianni Dal Maso;Umberto Mosco

  • On the relaxation in BV(Ω; Rm) of quasi-convex integrals

    Luigi Ambrosio;Gianni Dal Maso

  • Integral representation on BV(ω) of Γ-limits of variational integrals

    Gianni Dal Maso

  • Variational formulation of softening phenomena in fracture mechanics. The one-dimensional case

    Andrea Braides;Gianni Dal Maso;Adriana Garroni

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

    Giuseppe Buttazzo;Gianni Dal Maso

  • G-convergence of monotone operators

    Valeria Chiado’ Piat;Gianni Dal Maso;Anneliese Defranceschi

  • Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems

    Gianni Dal Maso;Francois Murat

Frequent Co-Authors

Irene Fonseca
Irene Fonseca Carnegie Mellon University
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
François Murat
François Murat Sorbonne University
Guy Bouchitté
Guy Bouchitté Université de Toulon
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Antonin Chambolle
Antonin Chambolle Paris Dauphine University
Alexander Mielke
Alexander Mielke Weierstrass Institute for Applied Analysis and Stochastics
Andrea Braides
Andrea Braides University of Rome Tor Vergata
Christoph Ortner
Christoph Ortner University of Warwick

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