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Compactness of solutions to some geometric fourth-order equations
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Andrea Malchiodi
Published/Copyright:
May 17, 2006
Abstract
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.
Received: 2005-01-10
Revised: 2005-04-08
Published Online: 2006-05-17
Published in Print: 2006-05-01
© Walter de Gruyter
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Articles in the same Issue
- Traces of CM values of modular functions
- Représentations semi-stables de torsion dans le cas er < p − 1
- Zero cycles on a threefold with isolated singularities
- On the density of algebraic foliations without algebraic invariant sets
- Compactness of solutions to some geometric fourth-order equations
- Relative cohomology with respect to a Lefschetz pencil
- There are genus one curves of every index over every number field
- The uniqueness of Cuntz-Krieger type algebras
