32 citations · 42 across the 6 of their papers we have counts for
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math.AP2009★ 8 cited
Nonclassical Solutions of Fully Nonlinear Elliptic Equations II. Hessian Equations and Octonions
Nikolai Nadirashvili, Serge Vladuts
We use the octonion algebra to construct singular solutions of Hessian fully nonlinear uniformly elliptic equations in 21 or more dimensions. The regularity of these solutions is t…
math.AP2009★ 32 cited
Singular Solution to Special Lagrangian Equations
Nikolai Nadirashvili, Serge Vladuts
We prove the existence of non-smooth solutions to Special Lagrangian Equations in the non-convex case.