MENU

You are here

Existence of conformal metrics with constant $Q$-curvature

TitleExistence of conformal metrics with constant $Q$-curvature
Publication TypeJournal Article
Year of Publication2008
AuthorsDjadli, Z, Malchiodi, A
JournalAnn. of Math. 168 (2008) 813-858
Abstract

Given a compact four dimensional manifold, we prove existence of conformal metrics with constant $Q$-curvature under generic assumptions. The problem amounts to solving a fourth-order nonlinear elliptic equation with variational structure. Since the corresponding Euler functional is in general unbounded from above and from below, we employ topological methods and minimax schemes, jointly with a compactness result by the second author.

URLhttp://hdl.handle.net/1963/2308

Sign in