Wei Wei

collaborators

5 papers

math.DG2026

A new boundary mass for asymptotically flat half-manifolds

Guofang Wang, Wei Wei

We introduce a boundary analogue of the Gauss--Bonnet--Chern mass for asymptotically flat half-manifolds with non-compact boundary. We prove that this mass is well defined and esta…

math.DG2026

The $I ¨ _{k}$ -Yamabe problem revisited

Yuxin Ge, Guofang Wang, Wei Wei

In this paper we revisit the $I ¨ _{k}$ -Yamabe problem on $M^{n}$ , namely, finding a conformal metric with constant $I ¨ _{k}$ -scalar curvature. We prove that on a closed manifold $\left(M,\…

math.DG2026

Blow-up phenomena for the constant Q/R-curvature equation

Caiyan Li, Guofang Wang, Wei Wei

Let $n \geq 25$ be an integer. In this paper, we construct a smooth metric $g_{0}$ on $S^{n}$ with the property that the set of metrics in the conformal class of $g_{0}$ havin…

math.DG2026

A Yamabe problem for the quotient between the $Q$ curvature and the scalar curvature

Yuxin Ge, Guofang Wang, Wei Wei

In this paper we introduce the following Yamabe problem for the quotient between the $Q$ curvature and the scalar curvature $R$ : Find a conformal metric $g$ in a given conformal cl…

math.DG2026

Liouville Theorem for $k -$ curvature equation in half space with fully nonlinear boundary condition

Wei Wei

We establish the Liouville theorem for positive constant $I ¨ _{k}$ -curvature equation in $R_{+}^{n}$ and positive constant boundary $B_{k}^{g}$ curvature equation…

A new boundary mass for asymptotically flat half-manifolds

The I¨k​-Yamabe problem revisited

Blow-up phenomena for the constant Q/R-curvature equation

A Yamabe problem for the quotient between the Q curvature and the scalar curvature

Liouville Theorem for k−curvature equation in half space with fully nonlinear boundary condition

The $I ¨ _{k}$ -Yamabe problem revisited

A Yamabe problem for the quotient between the $Q$ curvature and the scalar curvature

Liouville Theorem for $k -$ curvature equation in half space with fully nonlinear boundary condition