Abstract of On The Uniqueness Of Solutions Of The Homogeneous Curvature Equations

Mathematics Research Report CMA-MRR68-94

On The Uniqueness Of Solutions Of The Homogeneous Curvature Equations

Timothy R. Cranny

Abstract: We prove that viscosity solutions of the degenerate prescribed curvature equation $F[u] = F(k_1$, $\ldots$, $k_n) \equiv 0$ in $\Omega$, $u = g$ on $\partial\Omega$ are unique for a broad class of differential operators $F$.

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