Wang, LiheZhu, Ning2019-11-222019-11-221999-02-17Wang, L., & Zhu, N. (1999). Removable singular sets of fully nonlinear elliptic equations. <i>Electronic Journal of Differential Equations, 1999</i>(04), pp. 1-5.1072-6691https://hdl.handle.net/10877/8882In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that F(D2u,x) = ƒ(x) x ∈ Ω, u(x) = g(x) x ∈ ∂Ω has a solution u in C2(Ω) ∩ C(Ω¯), and F(D2v(x), x) = ƒ(x) x ∈ Ω\S v(x) = g(x) x ∈ ∂Ω has a solution v in C2(Ω\S) ∩ Lip (Ω) ∩ C (Ω¯). We prove that under certain conditions on S and v, the singular set S is removable; i.e., u = v.Text5 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear PDEMonge-Ampere equationRemovable singularityRemovable Singular Sets of Fully Nonlinear Elliptic EquationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.