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.
Citation
John Urbas. "Nonlinear oblique boundary value problems for two-dimensional curvature equations." Adv. Differential Equations 1 (3) 301 - 336, 1996. https://doi.org/10.57262/ade/1366896042
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