World's Best Scientists 2026 revealed!

D-Index & Metrics

Materials Science

D-Index
85
Citations
14313
World Ranking
2209
National Ranking
18

Research.com Recognitions

  • 2013 - Member of Academia Europaea

Overview

What is he best known for?

The fields of study he is best known for:

  • Polymer
  • Mathematical analysis
  • Quantum mechanics

Luigi Ambrosio mainly focuses on Mathematical analysis, Tissue engineering, Scaffold, Biomedical engineering and Pure mathematics. His work in Mathematical analysis addresses issues such as Vector field, which are connected to fields such as Convection–diffusion equation. He has researched Tissue engineering in several fields, including Porosity, Composite material, Polyester, Polymer and Regeneration.

His research integrates issues of Caprolactone, Nanotechnology, Biophysics, Composite number and Polycaprolactone in his study of Scaffold. His Biomedical engineering research includes themes of Matrix, Anatomy and Osteoblast. His Pure mathematics research incorporates elements of Bounded function, Ball and Counterexample.

His most cited work include:

  • Functions of Bounded Variation and Free Discontinuity Problems (3092 citations)
  • Gradient Flows: In Metric Spaces and in the Space of Probability Measures (1925 citations)
  • Approximation of functional depending on jumps by elliptic functional via t-convergence (957 citations)

What are the main themes of his work throughout his whole career to date?

Biomedical engineering, Mathematical analysis, Composite material, Tissue engineering and Chemical engineering are his primary areas of study. His Biomedical engineering course of study focuses on Regeneration and Mesenchymal stem cell. His Mathematical analysis research is multidisciplinary, relying on both Vector field and Pure mathematics.

His Tissue engineering research integrates issues from Nanotechnology and Scaffold. His Chemical engineering research focuses on Polymer and how it connects with Polymer chemistry. His Measure study integrates concerns from other disciplines, such as Metric and Sobolev space.

He most often published in these fields:

  • Biomedical engineering (17.63%)
  • Mathematical analysis (15.88%)
  • Composite material (14.13%)

What were the highlights of his more recent work (between 2016-2021)?

  • Chemical engineering (11.63%)
  • Tissue engineering (12.25%)
  • Nanotechnology (9.38%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Chemical engineering, Tissue engineering, Nanotechnology, Pure mathematics and Regeneration. His Tissue engineering study is concerned with the field of Biomedical engineering as a whole. His Nanotechnology research incorporates themes from Electrospinning and Polymer.

His biological study spans a wide range of topics, including Embedding, Measure and Metric. The concepts of his Measure study are interwoven with issues in Combinatorics and Sobolev space. His studies deal with areas such as Biophysics, Bone tissue, Mesenchymal stem cell and In vivo as well as Regeneration.

Between 2016 and 2021, his most popular works were:

  • A PDE approach to a 2-dimensional matching problem (51 citations)
  • Comparative facile methods for preparing graphene oxide–hydroxyapatite for bone tissue engineering (46 citations)
  • Atomic Force Microscopy: A Powerful Tool to Address Scaffold Design in Tissue Engineering. (43 citations)

In his most recent research, the most cited papers focused on:

  • Polymer
  • Quantum mechanics
  • Mathematical analysis

Luigi Ambrosio mainly investigates Tissue engineering, Chemical engineering, Mesenchymal stem cell, Scaffold and Biomedical engineering. His Tissue engineering research includes elements of Oxide, Biodegradation, Myocyte, Myogenesis and Polycaprolactone. Luigi Ambrosio combines subjects such as Coating and Green chemistry with his study of Chemical engineering.

His work deals with themes such as Porosity, Nanotechnology, Surface modification, Bone tissue and Gelatin, which intersect with Scaffold. Luigi Ambrosio interconnects Magnetization and Polymer in the investigation of issues within Nanotechnology. His Biomedical engineering study combines topics from a wide range of disciplines, such as Nanoparticle and Nanocomposite.

Best Publications

  • Functions of Bounded Variation and Free Discontinuity Problems

    Luigi Ambrosio;Diego Pallara;Nicola Fusco

  • Gradient Flows: In Metric Spaces and in the Space of Probability Measures

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Structural impact

    Unknown

  • Approximation of functional depending on jumps by elliptic functional via t-convergence

    Luigi Ambrosio;Vincenzo Maria Tortorelli

  • ON THE APPROXIMATION OF FREE DISCONTINUITY PROBLEMS

    L Ambrosio;Vincenzo Maria Tortorelli

  • Metric measure spaces with Riemannian Ricci curvature bounded from below

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

    Luigi Ambrosio;Nicola Gigli;Giuseppe Savaré

  • A User’s Guide to Optimal Transport

    Luigi Ambrosio;Nicola Gigli

  • Topics on analysis in metric spaces

    Luigi Ambrosio;Paolo Tilli

  • Currents in metric spaces

    Luigi Ambrosio;Bernd Kirchheim

  • Lecture Notes on Optimal Transport Problems

    Luigi Ambrosio

  • Fine Properties of Functions with Bounded Deformation

    Luigi Ambrosio;Alessandra Coscia;Gianni Dal Maso

  • Existence theory for a new class of variational problems

    Luigi Ambrosio

  • Un nuovo tipo di funzionale del calcolo delle variazioni

    Ennio De Giorgi;Luigi Ambrosio

  • A compactness theorem for a new class of functions of bounded variation.

    Luigi Ambrosio

  • Spanish Aerobiology Network (REA): management and quality manual

    Unknown

  • Rectifiable sets in metric and Banach spaces

    Luigi Ambrosio;Bernd Kirchheim

  • An optimal design problem with perimeter penalization

    Luigi Ambrosio;Giuseppe Buttazzo

  • Level set approach to mean curvature flow in arbitrary codimension

    Luigi Ambrosio;Halil Mete Soner

  • QT interval variability in body surface ECG: measurement, physiological basis, and clinical value: position statement and consensus guidance endorsed by the European Heart�…

    Unknown

Frequent Co-Authors

Vincenzo Guarino
Vincenzo Guarino National Research Council (CNR)
Antonio Gloria
Antonio Gloria University of Naples Federico II
Luigi Nicolais
Luigi Nicolais University of Naples Federico II
Paolo A. Netti
Paolo A. Netti Italian Institute of Technology
Alessandro Sannino
Alessandro Sannino University of Salento
Giuseppe Savaré
Giuseppe Savaré Bocconi University
Marino Lavorgna
Marino Lavorgna National Research Council (CNR)
Milena Fini
Milena Fini University of Bologna
Nicola Gigli
Nicola Gigli International School for Advanced Studies

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