##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Leobardo Rosales

#### Rice University

## Bernstein's Theorem for the two-valued minimal surface equation

##### Abstract:

\indent We explore the question of whether there are nontrivial solutions to the two-valued minimal surface (2MSE) equation defined over the punctured plane. The 2MSE is a non-uniformly elliptic PDE, degenerate at the origin, originally introduced by N.Wickramasekera and L.Simon to produce examples of stable branched minimal immersions.

Host: Ben Weinkove

### March 2, 2011

### 3:00 PM

### AP&M 5829

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