Variational Methods for Free Surface Interfaces

Optimal Crystal Shapes.- Immersed Tori of Constant Mean Curvature in R3.- The Construction of Families of Embedded Minimal Surfaces.- Boundary Behavior of Nonparametric Minimal Surfaces—Some Theorems and Conjectures.- On Two Isoperimetric Problems with Free Boundary Conditions.- Free Boundary Problems for Surfaces of Constant Mean Curvature.- On the Existence of Embedded Minimal Surfaces of Higher Genus with Free Boundaries in Riemannian Manifolds.- Free Boundaries in Geometric Measure Theory and Applications.- A Mathematical Description of Equilibrium Surfaces.- Interfaces of Prescribed Mean Curvature.- On the Uniqueness of Capillary Surfaces.- The Behavior of a Capillary Surface for Small Bond Number.- Convexity Properties of Solutions to Elliptic P.D.E.’S.- Boundary Behavior of Capillary Surfaces Via the Maximum Principle.- Convex Functions Methods in the Dirichlet Problem for Euler—Lagrange Equations.- Stability of a Drop Trapped Between Two Parallel Planes: Preliminary Report.- The Limit of Stability of Axisymmetric Rotating Drops.- Numerical Methods for Propagating Fronts.- A Dynamic Free Surface Deformation Driven by Anisotropic Interfacial Forces.- Stationary Flows in Viscous Fluid Bodies.- Large Time Behavior for the Solution of the Non-Steady Dam Problem.- New Results Concerning the Singular Solutions of the Capillarity Equation.- Continuous and Discontinuous Disappearance of Capillary Surfaces.