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20092023
most citedSingular Solution to Special Lagrangian Equations

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.