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Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms
June 5-8, 2002
Northern Arizona University
Flagstaff, AZ, USA

Organizers
John M. Neuberger, NAU, James W. Swift, NAU, Ratnasingham, Shivaji, MSU

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Critical Point Theory and Multiple Solutions to Boundary Value Problems.
by
Alfonso Castro
Univ of Texas - San Antonio

These lectures will be devoted to presenting applications of critical point theory to the existence of solutions to boundary value problems developed in the last three decades. Emphazis will be placed in semilinear elliptic and hyperbolic problems. The role of the interaction of the derivative of the nonlinear term with the spectrum of the linear operator will be analyzed in detail. Problems with jumping nonlinearities, superlinearities, and resonances will be discussed.

Date received: May 21, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caio-17.