TY - JOUR
T1 - Existence of conformal metrics with constant $Q$-curvature
JF - Ann. of Math. 168 (2008) 813-858
Y1 - 2008
A1 - Zindine Djadli
A1 - Andrea Malchiodi
AB - 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.
UR - http://hdl.handle.net/1963/2308
U1 - 1708
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -