Contributions to Nonlinear Analysis

A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday

  • Thierry Cazenave
  • David Costa
  • Orlando Lopes
  • Raúl Manásevich
  • Paul Rabinowitz
  • Bernhard Ruf
  • Carlos Tomei

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 66)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Emerson A. M. Abreu, Paulo Cesar Carrião, Olimpio Hiroshi Miyagaki
    Pages 1-15
  3. Vieri Benci, Carlo R. Grisanti, Anna Maria Micheletti
    Pages 53-65
  4. R.C. Charão, E. Bisognin, V. Bisognin, A.F. Pazoto
    Pages 67-91
  5. Lucio Boccardo
    Pages 93-103
  6. Daniele Castorina, Filomena Pacella
    Pages 135-147
  7. Thierry Cazenave, Flávio Dickstein, Fred B. Weissler
    Pages 185-194
  8. F. J. S. A. Corrêa, S. D. B. Menezes
    Pages 195-206
  9. David G. Costa, Olímpio H. Miyagaki
    Pages 207-220
  10. João Marcos do Ó, Sebastián Lorca, Pedro Ubilla
    Pages 233-245
  11. Celso Melchiades Doria
    Pages 247-261
  12. Jacqueline Fleckinger-Pellé, Jean-Pierre Gossez, François de Thélin
    Pages 283-296
  13. J.V. Goncalves, C.A. Santos
    Pages 313-320
  14. Farid Ammar Khodja, Marcelo M. Santos
    Pages 351-364
  15. Yan Yan Li, Louis Nirenberg
    Pages 365-370
  16. Marcelo Montenegro, Francisco O. V. de Paiva
    Pages 407-413
  17. Nicolau C. Saldanha, Carlos Tomei
    Pages 491-504
  18. P.N. Srikanth, Sanjiban Santra
    Pages 505-518

About this book


This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including:
- various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type;
- equations of Schrödinger, Maxwell, Navier-Stokes, Bernoulli-Euler, Seiberg-Witten, Caffarelli-Kohn-Nirenberg;
- existence, uniqueness and multiplicity of solutions;
- critical Sobolev growth and connected phenomena;
- qualitative properties, regularity and shape of solutions;
- inequalities, a-priori estimates and asymptotic behavior;
- various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids.
The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo. The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems.


Maxwell's equations Nonlinear equations Partial differential equations calculus hyperbolic equation partial differential equation wave equation

Editors and affiliations

  • Thierry Cazenave
    • 1
  • David Costa
    • 2
  • Orlando Lopes
    • 3
  • Raúl Manásevich
    • 4
  • Paul Rabinowitz
    • 5
  • Bernhard Ruf
    • 6
  • Carlos Tomei
    • 7
  1. 1.Laboratoire Jacques-Louis Lions B.C. 187Université Pierre et Marie CurieParis Cedex 05France
  2. 2.Department of Mathematical SciencesUniversity of NevadaLas VegasUSA
  3. 3.Instituto de MatemáticaUNICAMP - IMECCCampinas, SPBrasil
  4. 4.Departamento de Ingenieria Matemática Facultad de Ciencias Fisicas y MatemáticasUniversidad de ChileSantiagoChile
  5. 5.Mathematics DepartmentUniversity of Wisconsin-MadisonMadisonUSA
  6. 6.Dipartimento di MatematicaUniversità degli StudiMilanoItaly
  7. 7.Departamento de MatemáticaPUC RioGávea - Rio de JaneiroBrasil

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