### Nonlinear oblique boundary value problems for two-dimensional curvature equations

John Urbas

#### Abstract

We prove the existence of smooth solutions of two-dimensional nonuniformly elliptic curvature equations subject to a nonlinear oblique boundary condition. These are equations whose principal part is given by a suitable symmetric function of the principal curvatures of the graph of the solution $u$. The types of boundary conditions we are able to treat are the same as those we considered in earlier work on Hessian equations.

#### Article information

Source
Adv. Differential Equations, Volume 1, Number 3 (1996), 301-336.

Dates
First available in Project Euclid: 25 April 2013