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arXiv · 2002.04178

Distinct solutions to generated Jacobian equations cannot intersect

Cale Rankin
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Abstract

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 we extend this result to $C^{2}(\overlineΩ)$ solutions intersecting on the boundary, via an additional convexity condition on the target domain.

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Cale Rankin. 2020-02-11. Distinct solutions to generated Jacobian equations cannot intersect. https://doi.org/10.1017/s0004972720000052

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