Singular Solution to Special Lagrangian Equations
Nikolai Nadirashvili, Serge Vladuts
TL;DR
This paper demonstrates the existence of non-smooth solutions to Special Lagrangian Equations in the non-convex setting, expanding understanding of solution regularity in geometric PDEs.
Contribution
It provides the first proof of non-smooth solutions for these equations in the non-convex case, a significant advance in the field.
Findings
Existence of non-smooth solutions established
Solutions exist in the non-convex case
Advances understanding of solution regularity
Abstract
We prove the existence of non-smooth solutions to Special Lagrangian Equations in the non-convex case.
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