Advances in Differential Equations
- Adv. Differential Equations
- Volume 1, Number 3 (1996), 301-336.
Nonlinear oblique boundary value problems for two-dimensional curvature equations
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.
Adv. Differential Equations, Volume 1, Number 3 (1996), 301-336.
First available in Project Euclid: 25 April 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60]
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