arXiv subjects

Dake Wang

Publications and source records attributed to Dake Wang.

2 recordsLinked to original sources

arXiv2011

Hessian estimates for special Lagrangian equations with critical and supercritical phases in general dimensions

We derive a priori interior Hessian estimates for special Lagrangian equation with critical and supercritical phases in general higher dimensions. Our unified approach leads to sharper estimates even for the previously known three dimensional and convex solution cases.

math.AP↗

arXiv2011

Singular Solutions to Special Lagrangian Equations with Subcritical Phases and Minimal Surface Systems

We construct singular solutions to special Lagrangian equa- tions with subcritical phases and minimal surface systems. A priori estimate breaking families of smooth solutions are also produced cor- respondingly. A priori estimates for special Lagrangian equations with certain convexity are largely known by now.

math.AP↗