Leobardo Rosales

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...

The c-Plateau problem for surfaces in space asks, given $c>0$ and $\gamma$ a closed curve in space, whether we can find $M_{c}$ a smooth orientable surface-with-boundary, with $\partial M_{c} = \sigma_{c}+\gamma$ where $\sigma_{c}$ is a finite union...