A perturbation approach for Paneitz energy on standard three sphere
Analysis of PDEs
2018-02-28 v1 Differential Geometry
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.
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Cite
@article{arxiv.1802.09692,
title = {A perturbation approach for Paneitz energy on standard three sphere},
author = {Fengbo Hang and Paul C. Yang},
journal= {arXiv preprint arXiv:1802.09692},
year = {2018}
}
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17 pages