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 -
TY - JOUR
T1 - A fourth order uniformization theorem on some four manifolds with large total Q-curvature
JF - C. R. Acad. Sci. Paris, Ser. I 340 (2005) 341-346.
Y1 - 2005
A1 - Zindine Djadli
A1 - Andrea Malchiodi
AB - Given a four-dimensional manifold (M,g), we study the existence of a conformal metric for which the Q-curvature, associated to a conformally invariant fourth-order operator (the Paneitz operator), is constant. Using a topological argument, we obtain a new result in cases which were still open.
PB - Elsevier
UR - http://hdl.handle.net/1963/4868
U1 - 4649
U2 - Mathematics
U3 - Functional Analysis and Applications
U4 - -1
ER -
TY - JOUR
T1 - Prescribing scalar and boundary mean curvature on the three dimensional half sphere
JF - J. Geom. Anal. 13 (2003) 255-289
Y1 - 2003
A1 - Zindine Djadli
A1 - Andrea Malchiodi
A1 - Mohameden Ould Ahmedou
AB - We consider the problem of prescribing the scalar curvature and the boundary mean curvature of the standard half three sphere, by deforming conformally its standard metric. Using blow up analysis techniques and minimax arguments, we prove some existence and compactness results.
PB - Springer
UR - http://hdl.handle.net/1963/3086
U1 - 1247
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Prescribing a fourth oder conformal invariant on the standard sphere - Part I: a perturbation result
JF - Commun. Contemp. Math., 2002, 4, 375
Y1 - 2002
A1 - Zindine Djadli
A1 - Mohameden Ould Ahmedou
A1 - Andrea Malchiodi
PB - SISSA Library
UR - http://hdl.handle.net/1963/1539
U1 - 2624
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Prescribing a fourth oder conformal invariant on the standard sphere - Part II: blow up analysis and applications
JF - Ann. Sc. Norm. Super. Pisa Cl. Sci., 2002, 1, 387
Y1 - 2002
A1 - Zindine Djadli
A1 - Andrea Malchiodi
A1 - Mohameden Ould Ahmedou
PB - SISSA Library
UR - http://hdl.handle.net/1963/1540
U1 - 2623
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -