On the uniqueness of solutions of the homogeneous curvature equations

  • Timothy R. Cranny

    Centre for Mathematics and its Applications, Australian National University, Canberra, ACT 0200, Australia

Abstract

We prove that viscosity solutions of the degenerate prescribed curvature equation F[u] = F(κ1, …, κn) ≡ 0 in Ω, u = g on Ω are unique for a broad class of differential operators F.

Cite this article

Timothy R. Cranny, On the uniqueness of solutions of the homogeneous curvature equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 13 (1996), no. 5, pp. 619–630

DOI 10.1016/S0294-1449(16)30117-2