Abstract

We prove that if two$C^{1,1}(\unicode[STIX]{x1D6FA})$solutions of the second boundary value problem for the generated Jacobian equation intersect in$\unicode[STIX]{x1D6FA}$then they are the same solution. In addition, we extend this result to$C^{2}(\overline{\unicode[STIX]{x1D6FA}})$solutions intersecting on the boundary, via an additional convexity condition on the target domain.

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