Cale Rankin

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20202026

most citedDistinct solutions to generated Jacobian equations cannot intersect

5 citations · 10 across the 13 of their papers we have counts for

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math.AP2020★ 3 cited

Strict convexity and $C^{1}$ regularity of solutions to generated Jacobian equations in dimension two

Cale Rankin

We present a proof of strict $g$ -convexity in 2D for solutions of generated Jacobian equations with a $g$ -Monge-Ampère measure bounded away from 0. Subsequently this implies $C^{1}$ …

math.AP2020★ 5 cited

Distinct solutions to generated Jacobian equations cannot intersect

Cale Rankin

We prove that if two $C^{1, 1} (Ω)$ solutions of the second boundary value problem for the generated Jacobian equation intersect in $Ω$ then they are the same solution. In addition w…

Strict convexity and C1 regularity of solutions to generated Jacobian equations in dimension two

Distinct solutions to generated Jacobian equations cannot intersect

Strict convexity and $C^{1}$ regularity of solutions to generated Jacobian equations in dimension two