Skip to main content
  • Conference proceedings
  • © 2015

Geometric Methods in PDE’s

  • Provides the most recent overview on emerging and evolving topics in this area
  • Update contributions by leading experts
  • Provides excellent introductions for researchers in this field
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer INdAM Series (SINDAMS, volume 13)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (18 papers)

  1. Front Matter

    Pages i-xiii
  2. On the Hardy Constant of Some Non-convex Planar Domains

    • Gerassimos Barbatis, Achilles Tertikas
    Pages 15-41
  3. A Quantitative Lusin Theorem for Functions in BV

    • András Telcs, Vincenzo Vespri
    Pages 81-87
  4. X-Elliptic Harmonic Maps

    • Sorin Dragomir
    Pages 89-109
  5. Sum Operators and Fefferman–Phong Inequalities

    • Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni
    Pages 111-120
  6. Uniqueness of Solutions of a Class of Quasilinear Subelliptic Equations

    • Lorenzo D’Ambrosio, Enzo Mitidieri
    Pages 177-198
  7. Modica Type Gradient Estimates for Reaction-Diffusion Equations

    • Agnid Banerjee, Nicola Garofalo
    Pages 215-242
  8. A Few Recent Results on Fully Nonlinear PDE’s

    • Italo Capuzzo Dolcetta
    Pages 243-255
  9. The Reflector Problem and the Inverse Square Law

    • Cristian E. Gutiérrez, Ahmad Sabra
    Pages 269-286
  10. Regularity of the Free Boundary in Problems with Distributed Sources

    • Daniela De Silva, Fausto Ferrari, Sandro Salsa
    Pages 313-340
  11. The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE

    • Andrea Bonfiglioli, Giovanna Citti, Giovanni Cupini, Maria Manfredini, Annamaria Montanari, Daniele Morbidelli et al.
    Pages 341-373

About this book

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications. 

Editors and Affiliations

  • Dipartimento di Matematica, Università di Bologna, Bologna, Italy

    Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Francesco Uguzzoni

  • Dipartimento FIM, Università di Modena e Reggio Emilia, Modena, Italy

    Sergio Polidoro

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access