Third-party-funded project
Title:
Nonlinear Spectral Theory
Project management at the University of Würzburg:
Participating scientists:
- Prof. Dr. Raffaele Chiappinelli
, (Siena, Italien)
- Dr. Wenying Feng
, (Toronto, Kanada)
- Prof. Dr. Massimo Furi
, (Florenz, Italien)
- Prof. Dr. Mario Martelli
, (Fullerton, USA)
- Prof. Dr. M. Zuhair Nashed
, (Newark, USA)
- Prof. Dr. Thomas Riedrich
, (Dresden)
- Dr. Poala Santucci
, (Rom, Italien)
- Prof. Dr. Charles A. Stuart
, (Lausanne, Schweiz)
- Prof. Dr. Vladilen A. Trenogin
, (Moskau, Russland)
- Dr. Martin Väth
, (Würzburg)
- Prof. Dr. Alfonso Vignoli
, (Rom, Italien)
- Prof. Dr. Espedito De Pascale
, (Cosenza, Italien)
- Prof. Dr. Jeffrey R. L. Webb
, (Glasgow, Schottland)
- Prof. Dr. Pjotr P. Zabrejko
, (Minsk, Weissrussland)
- Dr. Chur-jen Chen
, (Taipeh, Taiwan)
- Dr. Elena Giorgieri
, (Rom, Italien)
Abstract:
The aim and scope of the project is the further development of spectral theories for various classes of
nonlinear operators. A particular emphasis is put on applications to problems arising in physics,
mechanics, and natural sciences. This is achieved by means of an international collaboration, including
mutual visits, special workshops in Wurzburg and elsewhere, and joint publications with other specialists
from Italy, Russia, Belorussia, Switzerland, Scotland, Taiwan, Canada, and the United States.
Key words:
spectrum
nonlinear
operator
Projekt period:
from 08.1999 to 07.2001
Funding institution:
DFG ,Granting date: 14.06.1999
Publications:
- J. Appell, M. Dörfner.
(1999). Some spectral theory for nonlinear operators. (monograph)
- J. Appell, G. Conti, P. Santucci.
(1999). Teoria spettrale, punti di biforcazione e problemi non lineari al contorno. (monograph)
- J. Appell, A. S. Kalitvin, M. Z. Nashed.
(1999). On some partial integral equations arising in the mechanics of solids. (monograph)
- J. Appell.
(1999). Ein. (monograph)
- J. Appell, G. Conti, P. Santucci.
(1999). Alcune osservazioni sul rango numerico per operatori non lineari. (monograph)
- J. Appell, P. P. Zabrejko.
(2000). Some elementary examples in nonlinear operator theory. (monograph)
- J. Appell, E. De Pascale, A. Vignoli.
(2000). A comparison of different spectra for nonlinear operators. (monograph)
- J. Appell, E. Giorgieri, M. Väth.
(2001). On a class of maps related to the Furi-Martelli-Vignoli spectrum. (monograph)
- J. Appell, E. De Pascale, A. Vignoli.
(2001). On a semilinear FMV-spectrum. (monograph)
- J. Appell, M. Väth.
(2001). Sulla misura di non compattezza di alcuni insiemi ed operatori integrali in spazi di funzioni misurabili. (monograph)
- J. Appell, M. Väth, A. Vignoli.
(2001). F-epi maps. (monograph)
- J. Appell, G. Conti, P. Santucci.
(2002). On the semicontinuity of nonlinear spectra. (monograph)
- J. Appell, E. Giorgieri, M. Väth.
(2002). Nonlinear spectral theory for homogeneous operators. (monograph)
- E. Giorgieri, M. Väth.
(2001). A characterization of 0-epi maps with a degree. (monograph)
- P. Santucci, M. Väth.
(2000). On the definition of eigenvalues for nonlinear operators. (monograph)
- P. Santucci, M. Väth.
(2002). Grasping the phantom: a new approach to nonlinear spectral theory. (monograph)
- M. Väth.
(1999). Fixed point theorems and fixed point index for countably condensing maps. (monograph)
- M. Väth.
(2000). An axiomatic approach to a coincidence index for noncompact function pairs. (monograph)
- M. Väth.
(2000). On the connection of degree theory and 0-epi maps. (monograph)
- M. Väth.
(2001). Fixed point free maps of a closed ball with small measures of noncompactness. (monograph)
- M. Väth.
(2001). The Furi-Martelli-Vignoli spectrum vs. the phantom. (monograph)
- M. Väth.
(2002). Coincidence points of function pairs based on compactness properties. (monograph)
- M. Väth.
(2002). Global bifurcation of the p-Laplacian and related operators. (monograph)
Links:
Workshop on Nonlinear Spectral Theory
World Congress of Nonlinear Analysts
Microworkshop on Nonlinear Analysis
