Monday, July 10

This session has been cancelled

MS3
Global Bifurcation and Continuation in Nonlinear PDE's

10:30 AM-12:30 PM
Room: Rio Mar 5

In this minisymposium the speakers will discuss some recent developments in global bifurcation and continuation for nonlinear partial differential equations. In particular the talks will address new existence theorems, both local and global, for quasi-linear elliptic pde's in R^N based on the degree theory of Fitzpatrick, Pejsachowicz and Rabier for Fredholm maps of index zero, and global bifurcation via regularization of a nonconvex functional depending on the gradient. Some global continuation results based on an abstract degree theory will be presented for the displacement equations of equilibrium of nonlinear elasticity with body forces and boundary displacements on corner or wedges domains.

10:30-10:55 Global Bifurcation for Quasilinear Elliptic Equations on R^N

Charles A. Stuart, Ecole Polytéchnique Fédérale Lausanne, Switzerland; and Patrick J. Rabier, University of Pittsburgh, USA

11:00-11:25 Functional Properties of Quasilinear Elliptic Operators on R^N

Patrick J. Rabier, University of Pittsburgh, USA

11:30-11:55 Elliptic Regularization and Singular Limits of Nonconvex Functionals

Hansjorg Kielhofer, Universität Augsburg, Germany

12:00-12:25 Continuation In Nonlinear Elasticity - Solids With Corners

Henry Simpson, The University of Tennessee, Knoxville, USA