## Advances in Differential Equations

### 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

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366896042

Mathematical Reviews number (MathSciNet)
MR1401397

Zentralblatt MATH identifier
0853.35046

#### Citation

Urbas, John. Nonlinear oblique boundary value problems for two-dimensional curvature equations. Adv. Differential Equations 1 (1996), no. 3, 301--336. https://projecteuclid.org/euclid.ade/1366896042.