The Mini-Workshop is part of a new program of the
Mathematical Research Institute at Oberwolfach which is intended
to complement the classical one-week Oberwolfach seminars. This
program is possible due to generous financial support, which is
gratefully acknowledged by the organizers, within the ordinary budget
of the Oberwolfach Institute coming from the Land Baden-Württemberg.
The Mini-Workshop is jointly organized by Jürgen Appell, University of
Würzburg, Pavel Drabek, University of West Bohemia at Plzen, and Raffaele
Chiappinelli, University of Siena, Italy. The aim and scope is to bring together
experts on nonlinear spectral analysis, on the one hand, and specialists in
eigenvalue problems for nonlinear PDE's with a particular emphasis on the
p-Laplace operator, on the other. During the Mini-Workshop we will discuss
recent progress and open problems in the theory, methods, and applications of
spectra and eigenvalues of nonlinear operators.
Participation is strictly upon invitation by the Oberwolfach Board.
The scientific program of expository lectures (60-90 minutes) is as follows:
Monday, February 16
09:30: Jean-Pierre Gossez (Bruxelles, Belgium): On the antimaximum principle and the Fucik spectrum of the p-Laplacian
11.00: Pavel Drabek (Plzen, Czech Republic): Existence and multiplicity results for the p-Laplacian near the first eigenvalue
15:30: Peter Takac (Rostock, Germany): On the Fredholm alternative for the p-Laplacian: linearization and asymptotics near the first eigenfunction
17:00: Petr Girg (Plzen, Czech Republic): Fredholm alternative for the p-Laplacian and its consequences
Tuesday, February 17
09:30: Raffaele Chiappinelli (Siena, Italy): Perturbation of the simple eigenvalue by 1-homogeneous operators
11:00: Vesa Mustonen (Oulu, Finland): Remarks on some inhomogeneous eigenvalue problems
15:30: Stephen B. Robinson (Winston-Salem, USA): Defining a second eigenvalue for a class of nonhomogeneous quasilinear operators
17:00: Mabel Cuesta (Calais, France): Asymmetric eigenvalue problems with weights for the p-Laplacian with Neumann boundary conditions
Wednesday, February 18
09:30: Massimo Furi (Firenze, Italy): On the sign-jump of one-parameter families of Fredholm operators and bifurcation
11:00: Charles A. Stuart (Lausanne, Switzerland): Differentiability, spectrum and bifurcation
Thursday, February 19
09:30: Angela Pistoia (Roma, Italy): On the existence of solutions for a class of nonlinear Schrödinger equations
11:00: Jeff Webb (Glasgow, Scotland): Remark on spectra with a boundary that is countable
15:30: Espedito De Pascale (Arcavacata, Italy): Numerical ranges: a review
17:00: Martin Väth (Würzburg, Germany): Epi and coepi maps, and further?
Friday, February 20
09:30: Wenying Feng (Peterborough, Canada): Applications of nonlinear spectral theory to boundary value problems
11:00: Gennaro Infante (Arcavacata, Italy): Some comments on the A-spectrum
15:30: Elena Giorgieri (Roma, Italy): Spectral theory for homogeneous operators: theory
17:00: Jürgen Appell (Würzburg, Germany): Spectral theory for homogeneous operators: applications