Special Session 75: Recent developments in Nonlinear PDEs, non-uniformly elliptic problems and related topics

Surfaces of minimum curvature variation

Pablo Raul Stinga
Iowa State University
USA
Co-Author(s):    Luis A. Caffarelli, Hernan Vivas
Abstract:
Surfaces whose curvature minimizes the Dirichlet energy are central in applications such as surface design in industry and architecture, and are generally constructed by using computer-aided design (CAD). We present the system of equations and prove the first result on existence of classical solutions. This is joint work with Luis A. Caffarelli (UT Austin) and Hernan Vivas (Universidad Nacional de Mar del Plata, Argentina).