Invertibility of nonsmooth mappings

Marcelo Montenegro Universidade Estadual de Campinas Adilson Presoto Universidade Federal de São Carlos

Analysis of PDEs mathscidoc:1803.43017

Arkiv for Matematik, 55, 2017
Let F :RN→RN be a locally Lipschitz continuous function. We prove that F is a global homeomorphism or only injective, under suitable assumptions on the subdifferential ∂F(x). We use variational methods, nonsmooth inverse function theorem and extensions of the Hadamard-Levy Theorem. We also address questions on the Markus-Yamabe conjecture.
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  title={Invertibility of nonsmooth mappings},
  author={Marcelo Montenegro, and Adilson  Presoto},
  booktitle={Arkiv for Matematik},
Marcelo Montenegro, and Adilson Presoto. Invertibility of nonsmooth mappings. 2017. Vol. 55. In Arkiv for Matematik.
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