Wednesday, December 12

MS53
Recent Development in Nonlinear Degenerate Elliptic and Parabolic Equations, Potential Theory and Applications - Part II of II

3:30 PM - 5:30 PM
Room: Pueblo A

For Part I, see MS48

This minisymposium reflects recent important developments made in the theory and applications of the nonlinear degenerate and singular elliptic and parabolic equations. The new intrinsic form Harnack Estimates for the non-negative solutions of quasi-linear degenerate parabolic equations with the measurable coefficients, the new boundary Harnack inequality for the p-Harmonic functions, Wiener's criterion for the regularity of the point at infinity and its measure-theoretical, probabilistic and potential theory counterparts will be presented.

Organizer: Ugur G. Abdulla
Florida Institute of Technology
Emmanuele DiBenedetto
Vanderbilt University

3:30-3:55 Boundary Behavior of P-Harmonic Functions in the Heisenberg Group

Nicola Garofalo, Purdue University

4:00-4:25 Regularity of Lipschitz Free Boundaries in Two-Phase Problems for the $p$-Laplace Operator

Kaj Nystrom, Umeå University, Sweden; John Lewis, University of Kentucky

4:30-4:55 P-Harmonic Measure on Wolff Snowflakes.

Andrew Vogel, Syracuse University; Kaj Nystrom, Umeå University, Sweden; John Lewis, University of Kentucky; Bjorn Bennewitz, University of Jyvaskyla, Finland

5:00-5:25 Monge's Mass Transportation in the Heisenberg Group

Robert Berry, University of Pittsburgh