Compactness of solutions to some geometric fourth-order equations

Details Compactness of solutions to some geometric fourth-order equations Compactness of solutions to some geometric fourth-order equations

2004-10-06

arxiv.org/abs/math/0410140v2

Mathematics

Analysis of PDEs

32 pages, fixed some bug in the previous version

Scientific paper

We prove compactness of solutions to some fourth order equations with exponential nonlinearities on four manifolds. The proof is based on a refined bubbling analysis, for which the main estimates are given in integral form. Our result is used in a subsequent paper to find critical points (via minimax arguments) of some geometric functional, which give rise to conformal metrics of constant $Q$-curvature. As a byproduct of our method, we also obtain compactness of such metrics.

Affiliated with

Also associated with

No associations

Rating

Compactness of solutions to some geometric fourth-order equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Compactness of solutions to some geometric fourth-order equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Compactness of solutions to some geometric fourth-order equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-171121