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Harnack Inequalities and Nonlinear Operators

Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Vincenzo Vespri

    1. Dipartimento di Matematica e Informatica, Università di Firenze, Firenze, Italy

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  2. Ugo Gianazza

    1. Dipartimento di Matematica, Università di Pavia, Pavia, Italy

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  3. Dario Daniele Monticelli

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  4. Fabio Punzo

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  5. Daniele Andreucci

    1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Università di Roma ”La Sapienza”, Rome, Italy

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  • Offers two unique presentations of the research activity of Emmanuele DiBenedetto, written by two collaborators of him
  • Provides very interesting original papers on nonlinear parabolic elliptic equations written by leading experts in the field
  • Focuses on the relations between nonlinear parabolic and elliptic equations, other part of mathematics and applications

Part of the book series: Springer INdAM Series (SINDAMS, volume 46)

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Table of contents (9 papers)

  1. Front Matter

    Pages i-viii
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  2. What I Learnt from Emmanuele DiBenedetto

    • Vincenzo Vespri
    Pages 1-27

  3. A Short Presentation of Emmanuele’s Work

    • Daniele Andreucci, Ugo Gianazza
    Pages 29-41

  4. Evolutionary Problems in Non-Cylindrical Domains

    • Verena Bögelein, Frank Duzaar, Christoph Scheven
    Pages 43-60

  5. A Compactness Result for the Sobolev Embedding via Potential Theory

    • Filippo Camellini, Michela Eleuteri, Sergio Polidoro
    Pages 61-91

  6. Mathematical Modeling of the Rod Phototransduction Process

    • Giovanni Caruso
    Pages 93-124

  7. Existence, Decay Time and Light Yield for a Reaction-Diffusion-Drift Equation in the Continuum Physics of Scintillators

    • Fabrizio Daví
    Pages 125-137

  8. Boundary Harnack Type Inequality and Regularity for Quasilinear Degenerate Elliptic Equations

    • Giuseppe DiFazio, Maria Stella Fanciullo, Pietro Zamboni
    Pages 139-157

  9. Monotonicity of Positive Solutions to − Δp u + a(u)|∇u|q = f(u) in the Half-Plane in the Case \(p\leqslant 2\)

    • Luigi Montoro
    Pages 159-174

  10. Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes

    • Eduardo V. Teixeira, José Miguel Urbano
    Pages 175-192

  11. Back Matter

    Pages 193-199
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Keywords

About this book

The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack’s inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at “Il Palazzone” in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. 

The topics of the conference are certainly of great interest for the international mathematical community.


Editors and Affiliations

  • Dipartimento di Matematica e Informatica, Università di Firenze, Firenze, Italy

    Vincenzo Vespri

  • Dipartimento di Matematica, Università di Pavia, Pavia, Italy

    Ugo Gianazza

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Dario Daniele Monticelli, Fabio Punzo

  • Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Università di Roma ”La Sapienza”, Rome, Italy

    Daniele Andreucci

Bibliographic Information

  • Book Title: Harnack Inequalities and Nonlinear Operators

  • Book Subtitle: Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto

  • Editors: Vincenzo Vespri, Ugo Gianazza, Dario Daniele Monticelli, Fabio Punzo, Daniele Andreucci

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-3-030-73778-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-73777-1Published: 30 May 2021

  • Softcover ISBN: 978-3-030-73780-1Published: 31 May 2022

  • eBook ISBN: 978-3-030-73778-8Published: 29 May 2021

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: VIII, 199

  • Number of Illustrations: 11 b/w illustrations, 18 illustrations in colour

  • Topics: Analysis, Global Analysis and Analysis on Manifolds, Optimization, Potential Theory

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