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Removable singularities of fully nonlinear elliptic equations
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Friedmar Schulz
Published/Copyright:
September 25, 2009
In this paper we consider fully nonlinear elliptic equations of the form
including the Monge–Ampère, the Hessian and the Weingarten equations and give conditions which ensure that a singular set E of a solution u is removable. This is shown by proving suitable maximum principles along the lines of the Aleksandrov–Bakel´man maximum principle.
Keywords: PDE; nonlinear; elliptic; Monge-Ampère; Hessian; Weingarten; singularity; maximum principle
Received: 2007-3-2
Published Online: 2009-9-25
Published in Print: 2007-8-1
© Oldenbourg Wissenschaftsverlag
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Keywords for this article
PDE;
nonlinear;
elliptic;
Monge-Ampère;
Hessian;
Weingarten;
singularity;
maximum principle
Articles in the same Issue
- Enclosure, separation, and computation of the zeros of exponential trinomials with constant coefficients and real exponential points
- Asymptotic estimates for a semigroup related to compressible viscous fluid flow
- Oscillation of first order neutral differential equations of Euler form
- WENO-TVD schemes for hyperbolic conservation laws
- Special functions and the Mellin transforms of Laguerre and Hermite functions
- On a class of extremal solutions of the nondegenerate matricial Carathéodory problem
- Removable singularities of fully nonlinear elliptic equations
