Elliptic and Parabolic Methods in Geometry

Ben Chow, Robert Gulliver, Silvio Levy, John Sullivan

Existence of Gradient Kähler-Ricci Solitons; Asymptotic Behavior of Solutions of ?u + K ( z ) e u = 0 in a Punctured Disc; Numerical Examples of Compact Surfaces of Constant Mean Curvature; Mean Curvature motion of nonparametric Hypersurfaces with contact angle Condition; Remarks on the Geometric Behavior of Harmonic maps between Surfaces; Estimates for the Biharmonic Energy on Unbounded Planar Domains, and the Existence of Surfaces of every genus that Minimize the Squared-Mean-Curvature Integral; Holomorphic Potentials, Symplectic Integrators and Cmc Surfaces; On Nematic Liquid Crystal Droplets; Singular Perturbations of Geometric variational Problems; Surface Motion Due to Crystalline Surface Energy Gradient Flows; The Asymptotic Behavior of Embedded Minimal Surfaces of Finite Total Curvature; The Minima of The p -Energy Functional

This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week