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Birkhäuser

Analysis and Topology in Nonlinear Differential Equations

A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday

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  • © 2014

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Editors:
  1. Djairo G Figueiredo

    1. IMECC-UNICAMP, Cidade Universitaria Instituto de Matematica, Estatistica e C, Campinas, Brazil

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  2. João Marcos do Ó

    1. Departamento de Matemática - CCEN, Universidade Federal da Paraíba, João Pessoa, Brazil

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  3. Carlos Tomei

    1. Departamento de Matemática, Pontifícia Universidade Católica do Rio, Rio de Janeiro, Brazil

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  • Growing vital area of mathematics
  • Anniversary volume dedicated to Bernhard Ruf
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 85)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-x
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  2. Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains

    • Emerson Abreu, João Marcos do Ó, Everaldo Medeiros
    Pages 1-21

  3. Multiplicity of Positive Solutions for an Obstacle Problem in ℝ

    • Claudianor O. Alves, Francisco Julio S. A. Corrêa
    Pages 23-38

  4. Multiplicity Results for some Perturbed and Unperturbed “Zero Mass” Elliptic Problems in Unbounded Cylinders

    • Sara Barile, Addolorata Salvatore
    Pages 39-59

  5. Basic Properties of Ultrafunctions

    • Vieri Benci, Lorenzo Luperi Baglini
    Pages 61-86

  6. Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator

    • Cristian Bereanu, Petru Jebelean, Jean Mawhin
    Pages 87-101

  7. Equivariant Bifurcation in Geometric Variational Problems

    • Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano
    Pages 103-133

  8. \( W_0^{1,1} \) Solutions in Some Borderline Cases of Elliptic Equations with Degenerate Coercivity

    • Lucio Boccardo, Gisella Croce
    Pages 135-143

  9. Remarks on p-Laplacian Problems Depending on the Gradient

    • H. Bueno, G. Ercole
    Pages 145-161

  10. Some Weighted Inequalities of Trudinger–Moser Type

    • Marta Calanchi
    Pages 163-174

  11. Multiple Solutions for p-Laplacian Type Problems with an Asymptotically p-linear Term

    • Anna Maria Candela, Giuliana Palmieri
    Pages 175-186

  12. Nonlocal Dynamic Problems with Singular Nonlinearities and Applications to MEMS

    • D. Cassani, L. Fattorusso, A. Tarsia
    Pages 187-206

  13. Existence and Multiplicity Results for Some Scalar Fields Equations

    • Giovanna Cerami
    Pages 207-230

  14. A Supercritical Elliptic Problem in a Cylindrical Shell

    • Mónica Clapp, Andrzej Szulkin
    Pages 231-240

  15. The Geometric Microlocal Analysis of Generalized Kimura and Heston Diffusions

    • C. L. Epstein, Rafe Mazzeo
    Pages 241-266

  16. On a Resonant Lane–Emden Problem

    • Grey Ercole
    Pages 267-276

  17. A Note on the Existence of a Positive Solution for a Non-autonomous Schrödinger–Poisson System

    • Marcelo F. Furtado, Liliane A. Maia, Everaldo S. Medeiros
    Pages 277-286

  18. Low Energy Solutions for the Semiclassical Limit of Schrödinger–Maxwell Systems

    • Marco Ghimenti, Anna Maria Micheletti
    Pages 287-300

  19. An Abstract Theorem in Nonlinear Analysis

    • A. C. Lazer, P. J. McKenna
    Pages 301-307

  20. Existence and Nonexistence Results for a Schrödinger Equation with Saturable Nonlinearity

    • Raquel Lehrer, Liliane A. Maia
    Pages 309-321
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Keywords

About this book

This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.

Editors and Affiliations

  • IMECC-UNICAMP, Cidade Universitaria Instituto de Matematica, Estatistica e C, Campinas, Brazil

    Djairo G Figueiredo

  • Departamento de Matemática - CCEN, Universidade Federal da Paraíba, João Pessoa, Brazil

    João Marcos do Ó

  • Departamento de Matemática, Pontifícia Universidade Católica do Rio, Rio de Janeiro, Brazil

    Carlos Tomei

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