Speaker: Dean Yang, Polytechnic Institute of New York University

Title: Optimal Sobolev norms and the Minkowski problem

Abstract: The existence and uniqueness of an optimal L^p Sobolev norm for a function on R^n is shown to be essentially equivalent to the existence and uniqueness of the solution to the L^p Minkowski problem for even measures. The former is established using the latter. This leads to new affine analytic inequalities, as well as a new proof of the affine L^p Sobolev inequality previously established by the authors.

Place: Science and Technology Building I, Room 242

Refreshments will be served before the talk at 3:00 p.m. in Room 222.

Department of Mathematical Sciences
George Mason University
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Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491