%0 Journal Article
%J Ann. of Math. 168 (2008) 813-858
%D 2008
%T Existence of conformal metrics with constant $Q$-curvature
%A Zindine Djadli
%A Andrea Malchiodi
%X 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.
%B Ann. of Math. 168 (2008) 813-858
%G en_US
%U http://hdl.handle.net/1963/2308
%1 1708
%2 Mathematics
%3 Functional Analysis and Applications
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