| Abstract: |
| In this talk, we present new universal bounds for the Hessian integrability exponent of viscosity super-solutions of fully nonlinear, uniformly elliptic equations. Such estimates yield a quantitative improvement in the decay of this exponent with respect to the dimension. In particular, we solve, in the negative, the Armstrong-Silvestre-Smart Conjecture on the optimal exponent for the Hessian integrability. This is joint work with Eduardo Teixeira. |
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