I will discuss refinements to the Bombieri-De Giorgi-Giusti minimal graph and three applications: 1. De Giorgi's Conjecture for Allen-Cahn equation; 2. Caffarelli-Berestycki-Nirenberg Conjecture for overdetermined problem on epigraphs; 3. Translating graphs of mean curvature flows.
Differential Geometry & Geometric Analysis Seminar
The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry. Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.
University of British Columbia
University College London
Johns Hopkins University
University of Wisconsin