2 problems

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Liouville property for fully nonlinear equations with superlinear gradient terms
Let $u$ be a nonnegative solution of … in $\mathbb{R}^N$ , where $\beta$ is the parameter associated with the Pucci operator. Liouville conjecture. Any such solution is constant pro…
Conjectureopenfully-nonlinear-equations liouville-property pucci-operatorsarXiv posted 2 days ago
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Armstrong–Silvestre–Smart conjecture on the ellipticity dependence of the W^{2,,\epsilon} estimate
Armstrong–Silvestre–Smart conjecture. The dependence of $\epsilon$ on $\Lambda$ in the interior $W^{2,\,\epsilon}$ estimate should be linear in $\Lambda^{-1}$ , equivalently…
Conjectureopenfully-nonlinear-elliptic-equations pucci-operators regularity-estimatesarXiv posted 2 days ago

Liouville property for fully nonlinear equations with superlinear gradient terms