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20172023
most citedSolutions for biharmonic equations with steep potential wells

1 citations · 1 across the 11 of their papers we have counts for

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11 papers

math.AP2023

Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains

Marco G. Ghimenti, Min Liu, Zhongwei Tang

This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type nonlinearity tends to…

math.AP2022

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…

math.AP2022

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…

math.AP2022

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, \…

math.AP2022

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…

math.AP2022

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…

math.AP2022

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…

math.AP2022

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…

math.AP2021

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…

math.AP2021

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)…

math.AP2017★ 1 cited

Solutions for biharmonic equations with steep potential wells

Yuxia Guo, Zhongwei Tang, Lushun Wang

In this paper, we are concerned with the existence of least energy solutions for the following biharmonic equations: wher…