2 citations · 4 across the 3 of their papers we have counts for
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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…
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…