We study the problem of conformally deforming a metric to a prescribed symmetric function
of the eigenvalues of the Ricci tensor. We prove an existence theorem for a wide class of …

Abstract σ k-Yamabe equations are conformally invariant equations generalizing the
classical Yamabe equation. In (J. Funct. Anal. 233: 380–425, 2006) YanYan Li proved that …

ON A FULLY NONLINEAR YAMABE PROBLEM Page 1 Ann. Scient. Éc. Norm. Sup., 4e série, t.
39, 2006, p. 569 à 598. ON A FULLY NONLINEAR YAMABE PROBLEM BY YUXIN GE AND …

We study properties of solutions with isolated singularities to general conformally invariant
fully nonlinear elliptic equations of second order. The properties being studied include radial …

The study of the kth elementary symmetric function of the Weyl–Schouten curvature tensor of
a Riemannian metric, the so-called σk curvature, has produced many fruitful results in …

We consider the problem of finding on a given Euclidean domain Ω Ω of dimension n ≥ 3
n≥ 3 a complete conformally flat metric whose Schouten curvature A satisfies some …

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We give a generalization of a theorem of Bôcher for the Laplace equation to a class of
conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack …

Abstract We prove a Kazdan–Warner type identity involving the σk curvature and a
conformal Killing vector field on a compact manifold. Our method also works to provide a …

In this paper, we consider conformal flat metrics on R 4 with an asymptotically hyperbolic
(AH) end and possible isolated conic singularities. We define a mass term of the AH end. If …