Theorem 5.1 . [04U9]

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 5.1.

Assume that

\lambda\leq\det D^{2}u\leq\Lambda\quad\text{ in }\Omega\text{ and }S_{h}(x)\subset\subset\Omega.

Then $u\in W^{2,1+\epsilon}(S_{h/2}(x))$ for some $\epsilon$ depending only on $\lambda,\Lambda$ and $n$ .