Journal article
Removable singular sets of fully nonlinear elliptic equations
Electronic journal of differential equations, Vol.1999(4), pp.1-5
02/01/1999
Abstract
In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that $F(D^2u, x) = f(x) quad x in Omega,,$ $u(x) = g(x) quad xin partial Omega $ has a solution $u$ in $C^2(Omega) cap C(ar {Omega} )$, and $F(D^2v(x), x) = f(x) quad xin Omegasetminus S,,$ $v(x)= g(x)quad xin partial Omega $ has a solution $v$ in $C^2(Omegasetminus S ) cap mbox{Lip}(Omega) cap C(ar {Omega})$. We prove that under certain conditions on $S$ and $v$, the singular set $S$ is removable; i.e., $u=v$.
Details
- Title: Subtitle
- Removable singular sets of fully nonlinear elliptic equations
- Creators
- Lihe WangNing Zhu
- Resource Type
- Journal article
- Publication Details
- Electronic journal of differential equations, Vol.1999(4), pp.1-5
- Publisher
- Texas State University
- ISSN
- 1072-6691
- eISSN
- 1072-6691
- Language
- English
- Date published
- 02/01/1999
- Academic Unit
- Mathematics
- Record Identifier
- 9984240880102771
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