11 papers
Łojasiewicz--Simon inequalities near bubbling configurations for the Yamabe functional on bounded domains
Tianling Jin, Jingang Xiong, Ning Zhou
We establish Łojasiewicz--Simon type gradient inequalities for the Yamabe functional on bounded smooth domains near configurations consisting of finitely many concentrating bubbles…
Compactness of Solutions to Sub-Elliptic Equations with Potential on the Heisenberg Group
Jiechen Qiang, Zhongwei Tang, Yichen Zhang +1
In this paper, we investigate the compactness of nonnegative solutions to a critical sub-elliptic equation with a nonnegative potential on the Heisenberg group. We establish compac…
On the density and multiplicity of solutions to the fractional Nirenberg problem
Zhongwei Tang, Heming Wang, Ning Zhou
This paper is devoted to establishing some results on the density and multiplicity of solutions to the fractional Nirenberg problem which is equivalent to studying the conformally…
Unified results of compactness and existence for prescribing fractional -curvatures problem
Yan Li, Zhongwei Tang, Heming Wang +1
In this paper we study the problem of prescribing fractional -curvature of order for a conformal metric on the standard sphere $\Sn$ with and . Compa…
Uniqueness of positive solutions to the higher order Brezis-Nirenberg problem
Zhongwei Tang, Ning Zhou
In this paper, we study the higher order Brezis-Nirenberg problem under the Navier boundary condition \be\label{eq} \begin{cases} (-Δ)^m u=\varepsilon u+u^{p} & \text { in }\, Ω, \…
A weighted Sobolev-Poincaré type trace inequality on Riemannian manifolds
Zhongwei Tang, Ning Zhou
Given a smooth compact -dimensional Riemannian manifold with boundary . Let be a defining function of and . In this paper we study a…
Compactness and existence results of the prescribing fractional -curvatures problem on
Yan Li, Zhongwei Tang, Ning Zhou
This paper is devoted to establishing the compactness and existence results of the solutions to the prescribing fractional -curvatures problem of order on -dimensional s…
New existence results for prescribed fractional -curvatures problem on under pinching conditions
Zhongwei Tang, Ning Zhou
In this paper we study the prescribed fractional -curvatures problem of order on the -dimensional standard sphere , where , $σ\in(0,\frac…
On a Fractional Nirenberg problem involving the square root of the Laplacian on
Yan Li, Zhongwei Tang, Ning Zhou
In this paper, we are devoted to establishing the compactness and existence results of the solutions to the fractional Nirenberg problem for when the prescribing $σ…
Compactness of solutions to higher order elliptic equations
Miaomiao Niu, Zhongwei Tang, Ning Zhou
We use blow up analysis for local integral equations to prove compactness of solutions to higher order critical elliptic equations provided the potentials only have non-degenerate…
Sharp Sobolev inequalities involving boundary terms revisited
Zhongwei Tang, Jingang Xiong, Ning Zhou
We revisit the sharp Sobolev inequalities involving boundary terms on Riemannian manifolds with boundaries proved by \emph{[Y.Y. Li and M. Zhu, Geom. Funct. Anal. \textbf{8} (1998)…