|Location:||MSRI: Baker Board Room|
A Willmore surface in the 3-dimensional Euclidean space is a critical point of the square norm of the mean curvature of the surface.
The round spheres, the Clifford torus and the minimal surfaces are Willmore. For a graph to satisfy the Willmore surface equation, its defining function is governed by a fourth order non-linear elliptic equation. A classical theorem of Bernstein says that an entire minimal graph must be a plane. We ask what happens to the entire Willmore graphs. In this talk, I will discuss joint work with Tobias Lamm on the finite energy case and with Yuxiang Li on the radially symmetric case.No Notes/Supplements Uploaded No Video Files Uploaded