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A new glance to the Alt-Caffarelli-Friedman monotonicity formula

  • Received: 25 November 2019 Accepted: 16 March 2020 Published: 26 May 2020
  • In this paper we revisit the proof of the Alt-Caffarelli-Friedman monotonicity formula. Then, in the framework of the Heisenberg group, we discuss the existence of an analogous monotonicity formula introducing a necessary condition for its existence, recently proved in [18].

    Citation: Fausto Ferrari, Nicolò Forcillo. A new glance to the Alt-Caffarelli-Friedman monotonicity formula[J]. Mathematics in Engineering, 2020, 2(4): 657-679. doi: 10.3934/mine.2020030

    Related Papers:

  • In this paper we revisit the proof of the Alt-Caffarelli-Friedman monotonicity formula. Then, in the framework of the Heisenberg group, we discuss the existence of an analogous monotonicity formula introducing a necessary condition for its existence, recently proved in [18].


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