The workshop will be organized by Jürgen Appell, Department of Mathematics, University of Würzburg. It is intended as a continuation of the workshop on nonlinear spectral and eigenvalue theory which was organized in Pontignano/Siena (Italy) by Raffaele Chiappinelli in November 1998. Financial support by the German Research Foundation (DFG) is gratefully acknowledged.

The aim and scope is to bring together experts on nonlinear analysis and its applications to discuss recent developments and open problems in the theory, methods, and applications of spectra of nonlinear operators.

Participation is mainly upon invitation by the organizer. No conference fee is charged from other participants. On the other hand, financial support for travel expenses or living costs cannot be granted. So everybody who is interested to participate should try to use his or her own sources.

The scientific program of expository one-hour lectures is as follows:

Friday, June 30

10.30: Alfonso Vignoli (Rome, Italy): Spectral theory for nonlinear operators revisited

11.30: Umberto Mosco (Rome, Italy): Spectral scaling on fractals

14.30: Jeffrey R. L. Webb (Glasgow, Scotland UK): Nonlinear spectrum via finite dimensional approximations

15.30: Tullio Valent (Padova, Italy): TBA

17.00: Anna Martellotti (Perugia, Italy): TBA

Saturday, July 1

15.00: Thomas Riedrich (Dresden, Germany): The representation and approximation of solutions of linear eigenvalue problems by the solutions of nonlinear eigenvalue problems

16.00: Wenying Feng (Toronto, Canada): A spectral theory for semilinear operators and its applications

17.30: Paola Santucci (Rome, Italy): How to define the notion of eigenvalue for continuous nonlinear operators

18.30: Martin Väth (Würzburg, Germany): The Furi-Martelli-Vignoli spectrum vs. the phantom

Sunday, July 2

10.00: Charles A. Stuart (Lausanne, Switzerland): The spectrum of a self-adjoint operator and PS-conditions

11.00: M. Zuhair Nashed (Newark DE, USA): Proposals for notions of spectral radius and adjoint of some classes of nonlinear operators with some preliminary results

15.00: Massimo Furi (Florence, Italy): On nonlinear eigenvalue problems for Fredholm maps

16.00: Mario Martelli (Fullerton CA, USA): Global convergence theorems for discrete dynamical systems

17.30: Raffaele Chiappinelli (Siena, Italy): Some variational methods for the location of eigenvalues in nonlinear problems

Monday, July 3

10.00: Vladilen A. Trenogin (Moscow, Russia): Spectral problems for nonlinear operators in weak metric spaces

11.00: Petr P. Zabrejko (Minsk, Belorussia): Fixed points and spectral properties of smooth operators