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Removable singularities for fully nonlinear elliptic equations. (English) Zbl 0965.35043

Nonlinear uniformly elliptic equations with the fully nonlinearity with respect to second derivatives are considered. It is proved that the singularities in the solutions are removable under certain sharp conditions. The main result consists in the proof of the existence of removable isolated singularities. The viscosity notion is used in this connection.

MSC:

35J60 Nonlinear elliptic equations
35R05 PDEs with low regular coefficients and/or low regular data
49L25 Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
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