Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case

Details Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case

2002-06-07

arxiv.org/abs/math/0206068v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

In this paper we study the energy function associated to fourth order
equations of critical growth on smooth compact conformally flat manifolds of
dimension greater or equal than 5.

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