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  • Textbook
  • © 2018

Lectures on Elliptic Partial Differential Equations

  • Originated from the Ph.D. course given by Luigi Ambrosio at the Scuola Normale Superiore in the academic year 2009-2010
  • Covers the most recent contents being related to the theory of viscosity solutions
  • Provides the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations

Part of the book series: Publications of the Scuola Normale Superiore (PSNS, volume 18)

Part of the book sub series: Lecture Notes (Scuola Normale Superiore) (LNSNS)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
  2. Variational aspects of some classes of elliptic problems

    • Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi
    Pages 1-27
  3. Classical regularity theory for linear problems

    • Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi
    Pages 29-50
  4. Interior regularity for nonlinear equations

    • Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi
    Pages 51-98
  5. Regularity for systems

    • Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi
    Pages 99-122
  6. Viscosity solutions

    • Luigi Ambrosio, Alessandro Carlotto, Annalisa Massaccesi
    Pages 123-167
  7. Back Matter

    Pages 169-227

About this book

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.

Authors and Affiliations

  • Scuola Normale Superiore, Pisa, Italia

    Luigi Ambrosio

  • ETH, Zürich, Switzerland

    Alessandro Carlotto

  • Università di Verona, Verona, Italia

    Annalisa Massaccesi

About the authors

Luigi Ambrosio is full Professor at the Scuola Normale Superiore in Pisa, Italy.
Alessandro Carlotto is Professor at the ETH Zürich in Switzerland.



Annalisa Massaccesi is Research Scholarship Holder at the Università di Verona in Italy.

Bibliographic Information

Buy it now

Buying options

eBook USD 24.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access