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On a geometric equation with critical nonlinearity on the boundary
Veronica Felli, Mohameden Ould Ahmedou
A theorem of Escobar asserts that, on a positive three dimensional smooth compact Riemannian manifold with boundary which is not conformally equivalent to the standard three dimens…
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…
Compactness results in conformal deformations of Riemannian metrics on manifolds with boundaries
Veronica Felli, Mohameden Ould Ahmedou
This paper is devoted to the study of a problem arising from a geometric context, namely the conformal deformation of a Riemannian metric to a scalar flat one having constant mean…
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…