Electron.n. J. Diff. Eqns., Vol. 1999(1999), No. 04, pp. 1-5.
### Removable singular sets of fully nonlinear elliptic equations

Lihe Wang & Ning Zhu

**Abstract:**

In this paper we consider fully nonlinear elliptic equations,
including the Monge-Ampere equation and the Weingarden equation.
We assume that

has a solution u in
, and

has a solution v in
.

We prove that under certain conditions on S and v,
the singular set S is removable; i.e., u=v.
Submitted March 17, 1998. Published February 17, 1999.

Math Subject Classification: 35B65

Key Words: Nonlinear PDE, Monge-Ampere Equation, Removable singularity.

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Lihe Wang

Department of Mathematics,
University of Iowa

Iowa City, IA 52242, USA

e-mail: lwang@math.uiowa.edu
Ning Zhu

Department of Mathematics, Suzhou University

Suzhou 215006, China

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