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Potential theory of Monge-Ampère on a Banach space. Minimum principle and poisson property

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Abstract

We prove the minimum principle and the Poisson property for the potential theory of the homogeneous Monge-Ampère equation on a reflexive Banach space.

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Cator, E.A. Potential theory of Monge-Ampère on a Banach space. Minimum principle and poisson property. Potential Analysis 5, 173–182 (1996). https://doi.org/10.1007/BF00396777

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Mathematics Subject Classifications (1991)

  • 31B35
  • 31C99
  • 31D05

Key words

  • Minimum principle
  • Poisson property
  • Banach space
  • Baire