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Local Hölder regularity of solutions to generated Jacobian equations

Local Hölder regularity of solutions to generated Jacobian equations

Generated Jacobian equations are Monge-Amp\`ere 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. …