Speaker: Igor Verbitsky, University of Missouri-Columbia

Time, date, place: 2pm, 28 March 2006, POT 845

Title: Quasilinear and fully nonlinear equations
of Lane-Emden type, and Wolff potential estimates


Abstract:
We will present a solution to the existence problem and give a complete
characterization of removable singularities for a class of quasilinear
and fully nonlinear PDE with nonlinear source terms. Model problems
include equations of Lane-Emden type which involve the p-Laplacian and
k-Hessian operators. Sharp local and global pointwise estimates of solutions,
and new Liouville-type theorems will be discussed as well. Our approach is
based on systematic use of Wolff potentials, dyadic models, and
nonlinear trace inequalities. This work is joint with Nguyen Cong Phuc.



Verbitsky's visit is funded, in part, by the College Enrichment
Fund of the College of Arts and Sciences.