ScalingStacks

Theorem 6.2 . [04UE]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Theorem 6.2.

Assume

detD2​u=f in ​Ω,u|∂Ω=0\det D^{2}u=f\quad\text{ in }\Omega,\quad\quad u|_{\partial\Omega}=0

where f∈C1,α​(Ω)f\in C^{1,\alpha}(\Omega) is strictly positive. Then

u∈C3,α​(Ω).u\in C^{3,\alpha}(\Omega).

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.