We study the conformal metrics on R-2m with constant Q-curvature Q is an element of R having finite volume, particularly in the case Q <= 0. We show that when Q < 0 such metrics exist in R-2m if and only if m > 1. Moreover, we study their asymptotic behavior at infinity, in analogy with the case Q > 0, which we treated in a recent paper. When Q D 0, we show that such metrics have the form e(2p) g(R2m), where p is a polynomial such that 2 <= deg p <= 2 m 2 and sup(R2m) p < infinity. In dimension 4, such metrics correspond to the polynomials p of degree 2 with lim(|x|->infinity) p(x) = -infinity
We consider the problem of varying conformally the metric of a four dimensional manifold in order to...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-c...
We study conformal metrics gu = e 2u|dx|2 on R2m with constant Q-curvature Qgu ≡ (2m − 1)! (notice t...
We study the solutions $uin C^infty( n)$ of the problem egin{equation}label{P0} (-Delta)^mu=ar Q...
We study the solutions $u\in C^\infty(R^{2m})$ of the problem $(-\Delta)^m u= Qe^{2mu}$, where $Q=\p...
We review some recent results in the literature concerning existence of con-formal metrics with cons...
We review some recent results in the literature concerning existence of con-formal metrics with cons...
We study conformal metrics on R-3, i.e., metrics of the form g(u) = e(2u)vertical bar dx vertical ba...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-c...
In this article we study the nonlocal equation \[ (−∆)^{n/2} u = (n-1)! e^{bu} in \mathbb{R}^n,...
We study conformal metrics on $ \R{3}$ , i.e., metrics of the form $ g_u=e^{2u}|dx|^2$ , which have ...
We study conformal metrics on $${\mathbb {R}}^{3}$$ R 3 , i.e., metrics of the form $$g_u=e^{2u}|dx|...
AbstractWorking in a given conformal class, we prove existence of constant Q-curvature metrics on co...
We study conformal metrics on $R{3}$, i.e., metrics of the form $g_u=e^{2u}|dx|^2$, which have const...
We consider the problem of varying conformally the metric of a four dimensional manifold in order to...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-c...
We study conformal metrics gu = e 2u|dx|2 on R2m with constant Q-curvature Qgu ≡ (2m − 1)! (notice t...
We study the solutions $uin C^infty( n)$ of the problem egin{equation}label{P0} (-Delta)^mu=ar Q...
We study the solutions $u\in C^\infty(R^{2m})$ of the problem $(-\Delta)^m u= Qe^{2mu}$, where $Q=\p...
We review some recent results in the literature concerning existence of con-formal metrics with cons...
We review some recent results in the literature concerning existence of con-formal metrics with cons...
We study conformal metrics on R-3, i.e., metrics of the form g(u) = e(2u)vertical bar dx vertical ba...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-c...
In this article we study the nonlocal equation \[ (−∆)^{n/2} u = (n-1)! e^{bu} in \mathbb{R}^n,...
We study conformal metrics on $ \R{3}$ , i.e., metrics of the form $ g_u=e^{2u}|dx|^2$ , which have ...
We study conformal metrics on $${\mathbb {R}}^{3}$$ R 3 , i.e., metrics of the form $$g_u=e^{2u}|dx|...
AbstractWorking in a given conformal class, we prove existence of constant Q-curvature metrics on co...
We study conformal metrics on $R{3}$, i.e., metrics of the form $g_u=e^{2u}|dx|^2$, which have const...
We consider the problem of varying conformally the metric of a four dimensional manifold in order to...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-...
Given a compact four dimensional manifold, we prove existence of conformal metrics with constant Q-c...