Isolated singularities for fully nonlinear elliptic equations
We obtain Serrin type characterization of isolated singularities for solutions of fully nonlinear uniformly elliptic equations F(D2u)=0. The main result states that any solution to the equation in the punctured ball bounded from one side is either extendable to the solution in the entire ball or can be controlled near the centre of the ball by means of special fundamental solutions. In comparison with semi- and quasilinear results the proofs use the viscosity notion of generalised solution...[Show more]
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|Source:||Journal of Differential Equations|
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