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4 papers
Existence of conformal metrics with constant -curvature
Zindine Djadli, Andrea Malchiodi
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant -curvature under generic assumptions. The problem amounts to solving a fourth-or…
Prescribing scalar and boundary mean curvature on the three dimensional sphere
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
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 b…
Prescribing a fourth order conformal invariant on the standard sphere, Part II: blow-up analysis and applications
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
In this paper we perform a fine blow-up analysis for a fourth order elliptic equation involving critical Sobolev exponent, related to the prescription of some conformal invariant o…
Prescribing a fourth order conformal invariant on the standard sphere - Part I: a perturbation result
Zindine Djadli, Andrea Malchiodi, Mohameden Ould Ahmedou
In this paper we study some fourth order elliptic equation involving the critical Sobolev exponent, related to the prescription of a fourth order conformal invariant on the standar…