Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three

Nam Q. Le, Qi Sun, Hung V. Tran

For each nonnegative integer $m$, we construct smooth symmetric $3\times 3$ coefficient matrices $A_m$ satisfying the fixed ellipticity bound \[ I\leq A_m\leq 2^{81}I \] for which…