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Contributions to Nonlinear Elliptic Equations and Systems

A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday

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  • © 2015

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Editors:
  1. Alexandre Nolasco de Carvalho

    1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, Brazil

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  2. Bernhard Ruf

    1. Dipartimento di Matematica, Università degli Studi di Milano, Lombardia, Italy

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  3. Ederson Moreira dos Santos

    1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, Brazil

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  4. Jean-Pierre Gossez

    1. Département de Mathématique. CP 214, Université Libre de Bruxelles, Brussels, Belgium

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  5. Sergio Henrique Monari Soares

    1. Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, Brazil

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  6. Thierry Cazenave

    1. Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, Paris, France

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  • A tribute to Djairo Guedes de Figuerido on the occasion of his 80th birthday
  • Discusses recent trends and new directions of nonlinear elliptic partial differential equations and systems
  • Contributors represent international experts in the field

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 86)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Nonexistence of positive classical solutions for the nonlinear Schrödinger equation with unbounded or decaying weights

    • Francisco S. B. Albuquerque, Everaldo S. Medeiros
    Pages 1-7

  3. Hylomorphic solitons for the generalized KdV equation

    • Vieri Benci, Donato Fortunato
    Pages 9-21

  4. A consequence of Djairo’s Lectures on the Ekeland variational principle

    • Lucio Boccardo, Luigi Orsina
    Pages 23-30

  5. Waveguide solutions for a nonlinear Schrödinger equation with mixed dispersion

    • Denis Bonheure, Robson Nascimento
    Pages 31-53

  6. Fibers and global geometry of functions

    • Marta Calanchi, Carlos Tomei, André Zaccur
    Pages 55-75

  7. Existence of infinitely many continua of radial singular polytropes with gain-loss function

    • Alfonso Castro, Vı́ctor Padrón
    Pages 77-86

  8. Branches of positive solutions for subcritical elliptic equations

    • Alfonso Castro, Rosa Pardo
    Pages 87-97

  9. Multiple solutions to anisotropic critical and supercritical problems in symmetric domains

    • Mónica Clapp, Jorge Faya
    Pages 99-120

  10. Compactness and non-compactness for Yamabe-type problems

    • Fernando Codá Marques
    Pages 121-131

  11. Asymptotics of ground states for fractional Hénon systems

    • David G. Costa, Olı́mpio H. Miyagaki, Marco Squassina, Jianfu Yang
    Pages 133-161

  12. Positive solutions for certain classes of fourth-order ordinary elliptic systems

    • J. M. do Ó, S. Lorca, J. Sánchez, P. Ubilla
    Pages 163-171

  13. Remarks on the behavior of the best Sobolev constants

    • Grey Ercole
    Pages 173-185

  14. Bubbling solutions to an anisotropic Hénon equation

    • Jorge Faya, Massimo Grossi, Angela Pistoia
    Pages 187-215

  15. The sub-supersolution method for Kirchhoff systems: applications

    • Giovany M. Figueiredo, Antonio Suárez
    Pages 217-227

  16. Nodal structure of the solution of a cooperative elliptic system

    • J. Fleckinger, J.-P. Gossez, F. de Thélin
    Pages 229-243

  17. Nonquadraticity condition on superlinear problems

    • Marcelo F. Furtado, Edcarlos D. Silva
    Pages 245-255

  18. Radial solutions of a Neumann problem coming from a burglary model

    • M. Garcia-Huidobro, R. Manásevich, J. Mawhin
    Pages 257-268

  19. Modeling suspension bridges through the von Kármán quasilinear plate equations

    • Filippo Gazzola, Yongda Wang
    Pages 269-297

  20. Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary

    • Marco Ghimenti, Anna Maria Micheletti
    Pages 299-323
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Keywords

About this book

This volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations – 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems.

Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.

Editors and Affiliations

  • Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, São Carlos, Brazil

    Alexandre Nolasco de Carvalho, Ederson Moreira dos Santos, Sergio Henrique Monari Soares

  • Dipartimento di Matematica, Università degli Studi di Milano, Lombardia, Italy

    Bernhard Ruf

  • Département de Mathématique. CP 214, Université Libre de Bruxelles, Brussels, Belgium

    Jean-Pierre Gossez

  • Université Pierre et Marie Curie, Laboratoire Jacques-Louis Lions, Paris, France

    Thierry Cazenave

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