Math RefereeA smooth nonquadratic entire affine maximal graph in dimension ten
Independent panel assessments · paired prompt comparison
The proposed argument
The ansatz u(x,t)=sqrt(F(x)^2+t^2) reduces the affine-maximal equation to a radial system. A local integral fixed point supplies a smooth solution at the origin; a box for logarithmic derivatives is then used to continue it globally while retaining positivity.
This test concerns this manuscript only. Independent human mathematical assessment remains pending.
Reading order
Follow the dependencies
Open the full map ↗Select a claim to see its prerequisites and consumers. Edge labels distinguish proof inputs, source references, background and exclusions.
Your independent assessment
Check the Hessian and equation reduction, local smoothness, invariant-box inequalities, and global continuation. Keep pointwise positive definiteness separate from uniform convexity and affine-metric completeness.