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The articles in this volume are an outgrowth of an international
conference entitled Variational and Topological Methods in the
Study of Nonlinear Phe- nomena, held in Pisa in January-February
2000. Under the framework of the research project Differential
Equations and the Calculus of Variations, the conference was
organized to celebrate the 60th birthday of Antonio Marino, one of
the leaders of the research group and a significant contrib- utor
to the mathematical activity in this area of nonlinear analysis.
The volume highlights recent advances in the field of nonlinear
functional analysis and its applications to nonlinear partial and
ordinary differential equations, with particular emphasis on
variational and topological meth- ods. A broad range of topics is
covered, including: concentration phenomena in PDEs, variational
methods with applications to PDEs and physics, pe- riodic solutions
of ODEs, computational aspects in topological methods, and
mathematical models in biology. Though well-differentiated, the
topics covered are unified through a com- mon perspective and
approach. Unique to the work are several chapters on computational
aspects and applications to biology, not usually found with such
basic studies on PDEs and ODEs. The volume is an excellent
reference text for researchers and graduate students in the above
mentioned fields. Contributors are M. Clapp, M.J. Esteban, P.
Felmer, A. Ioffe, W. Marzan- towicz, M. Mrozek, M. Musso, R.
Ortega, P. Pilarczyk, M. del Pino, E. Sere, E. Schwartzman, P.
Sintzoff, R. Turner, and I\f. Willem.
The 13th Italian Conference on General Relativity and Gravitational
Physics was held in Cala Corvino-Monopoli (Bari) from September
21to September 25, 1998. The Conference, which is held every other
year in different Italian locations, has brought together, as in
the earlier conferences in this series, those scientists who are
interested and actively work in all aspects of general relativity,
from both the mathematical and the physical points of view: from
classical theories of gravitation to quantum gravity, from
relativistic astrophysics and cosmology to experiments in
gravitation. About 70 participants came from Departments of
Astronomy and Astrophysics, Departments of Mathematics and
Departments of Experimental and Theoretical Physics from all over
the Country; in addition a few Italian scientists working abroad
kindly accepted invitations from the Scientific Committee. The good
wishes of the University and of the Politecnico di Bari were
conveyed by the director of Diparti mento Interuniversitario di
Matematica, Prof. Franco Altomare. These proceedings contain the
contributions of the two winners of the SIGRAV prizes, the invited
talks presented at the Conference and most of the contributed
talks. We thank all of our colleagues, who did their best to
prepare their manuscripts. The pleasant atmosphere induced by the
beauty of the place was greatlyenhanced not only by the
participation of so many colleagues, who had lively discussions
about science well beyond Conference hours, but also by the feeling
of hospitalityextended to the participants by the staff of the Cala
Corvino Hotel, where the Conference was held."
The articles in this volume are an outgrowth of an international
conference entitled Variational and Topological Methods in the
Study of Nonlinear Phe- nomena, held in Pisa in January-February
2000. Under the framework of the research project Differential
Equations and the Calculus of Variations, the conference was
organized to celebrate the 60th birthday of Antonio Marino, one of
the leaders of the research group and a significant contrib- utor
to the mathematical activity in this area of nonlinear analysis.
The volume highlights recent advances in the field of nonlinear
functional analysis and its applications to nonlinear partial and
ordinary differential equations, with particular emphasis on
variational and topological meth- ods. A broad range of topics is
covered, including: concentration phenomena in PDEs, variational
methods with applications to PDEs and physics, pe- riodic solutions
of ODEs, computational aspects in topological methods, and
mathematical models in biology. Though well-differentiated, the
topics covered are unified through a com- mon perspective and
approach. Unique to the work are several chapters on computational
aspects and applications to biology, not usually found with such
basic studies on PDEs and ODEs. The volume is an excellent
reference text for researchers and graduate students in the above
mentioned fields. Contributors are M. Clapp, M.J. Esteban, P.
Felmer, A. Ioffe, W. Marzan- towicz, M. Mrozek, M. Musso, R.
Ortega, P. Pilarczyk, M. del Pino, E. Sere, E. Schwartzman, P.
Sintzoff, R. Turner, and I\f. Willem.
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