Local Hölder regularity of solutions to generated Jacobian equations

  title={Local H{\"o}lder regularity of solutions to
generated Jacobian equations},
  author={Seong-hyeon Jeong},
  journal={arXiv: Analysis of PDEs},
Generated Jacobian equations are Monge-Ampere type equations which contain optimal transport as a special case. Therefore, optimal transport case has its own special structure which is not necessarily true for more general generated Jacobian equations. Hence the theory for optimal transport can not be directly transplanted to generated Jacobian equations. In this paper, we point out the difficulties that prevent applying the proof the local Holder regularity of solutions of optimal transport… Expand
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