1.

Record Nr.

UNINA9910782118903321

Titolo

The first 60 years of nonlinear analysis of Jean Mawhin [[electronic resource] ] : 4-5 April 2003, Sevilla, Spain / / edited by M. Delgado ... [et al.]

Pubbl/distr/stampa

River Edge, N.J., : World Scientific, c2004

ISBN

1-281-89891-0

9786611898915

981-270-290-3

Descrizione fisica

1 online resource (266 p.)

Altri autori (Persone)

MawhinJ

DelgadoM (Manuel)

Disciplina

515.35

Soggetti

Differential equations, Nonlinear

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents               ; Preface              ; Photos of the homage                           ; A priori Bounds for the Positive Solutions of Super-Linear Indefinite Weighted Elliptic Problems                                                                                                       ; 1. Introduction                      ; 2. Principal Eigenvalues and Positive Solutions                                                      ; 3. Class A(Q) of Admissible Potentials in Q

4. A Priori Bounds for the Positive Solutions of (1)                                                           Coincidence Degree and Multidimensional Resonant Problems                                                                ; 1. Introduction                      ; 2. Description of the problem                                    ; 3. Qualitative study of the range                                        ; 4. Final remarks

Uniqueness of the Neumann Condition and Comparison Results for Dirichlet Pseudo-Monotone Problems                                                                                                        1. Introduction                      ; 2. Uniqueness of the Neumann condition                                             ; 3. Two uniqueness results for pseudomonotone problems on W1p(Q) p>2                                                                          ; Parametric Excitation in a Predator-Prey Model

1. Introduction                      2. Existence of a w-periodic solution. Dissipativeness                                                             ; 3. Existence of



a non-trivial w -periodic solution                                                         ; 4. Hopf Bifurcation. Parametric excitation                                                 ; 5. Averaging and results                               ; Reasons for a Homage                           ; 1. First papers                      ; 2. Functional Analysis

3. Ordinary differential equations                                         4. Partial differential equations                                        ; 5. Function theory                         ; 6. Textbooks                   ; 7. History of Mathematics                                ; Local Bifurcation for Elliptic Problems;  Neumann versus Dirichlet Boundary Conditions                                                                                            ; 1. Introduction                      ; 2. Local qualitative behavior

Bifurcation through Higher Order Terms for Problems at Resonance

Sommario/riassunto

The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birthday, a group of mathematicians gathered in Sevilla, Spain, in April 2003 to honor his mathematical achievements as well as his unique personality.  This book provides an extraordinary view of a number of ground-breaking ideas and methods in nonlinear analysis and differential equations.  <i>List of Contributors:</i> H Amann, M Delgado, J L Gámez, A M Krasnoselskij, E Liz, J Mawhin, P Quittner, B P Rynne, L Sanchez, K Schmitt, J R Ward, F Zanolin