2 citations · 4 across the 3 of their papers we have counts for
7 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…
Compactness of solutions to some geometric fourth-order equations
Andrea Malchiodi
We prove compactness of solutions to some fourth order equations with exponential nonlinearities on four manifolds. The proof is based on a refined bubbling analysis, for which the…
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…
Asymptotic Morse theory for the equation $\D v = 2 v_x \wedge v_y$
S. Chanillo, A. Malchiodi
Given a smooth bounded domain , we consider the equation $\D v = 2 v_x \wedge v_y$ in , where . We prescribe Dirichlet boundary datum, and conside…
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…