A perturbation approach for paneitz energy on standard three sphere

Fengbo Hang, Paul C. Yang

Research output: Contribution to journalArticlepeer-review

Abstract

We present another proof of the sharp inequality for Paneitz operator on the standard three sphere, in the spirit of subcritical approximation for the classical Yamabe problem. To solve the perturbed problem, we use a symmetrization process which only works for extremal functions. This gives a new example of symmetrization for higher-order variational problems.

Original languageEnglish (US)
Pages (from-to)3295-3317
Number of pages23
JournalInternational Mathematics Research Notices
Volume2020
Issue number11
DOIs
StatePublished - 2020

ASJC Scopus subject areas

  • Mathematics(all)

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