Improved Moser-Trudinger-Onofri inequality under constraints

25 Jun 2020 Chang Sun-Yung A. Hang Fengbo

A classical result of Aubin states that the constant in Moser-Trudinger-Onofri inequality on $\mathbb{S}^{2}$ can be imporved for furnctions with zero first order moments of the area element. We generalize it to higher order moments case... (read more)

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Categories


  • DIFFERENTIAL GEOMETRY
  • CLASSICAL ANALYSIS AND ODES