On some conformally invariant fully nonlinear equations

Details On some conformally invariant fully nonlinear equations On some conformally invariant fully nonlinear equations

2003-04-24

arxiv.org/abs/math/0304393v1

Proceedings of the ICM, Beijing 2002, vol. 3, 177--184

Mathematics

Analysis of PDEs

Scientific paper

We will report some results concerning the Yamabe problem and the Nirenberg problem. Related topics will also be discussed. Such studies have led to new results on some conformally invariant fully nonlinear equations arising from geometry. We will also present these results which include some Liouville type theorems, Harnack type inequalities, existence and compactness of solutions to some nonlinear version of the Yamabe problem.

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