S. Wei

activity

20102023

most citedOn Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

36 citations · 46 across the 14 of their papers we have counts for

collaborators

14 papers

math.AP2023

Convex Functions are $p$ -Subharmonic Functions, $p > 1$ On $R^{n}$ with Applications

Shihshu Walter Wei

In this paper we discuss convexity, its average principle, an extrinsic average variational method in the Calculus of Variations, an average method in Partial Differential Equation…

math.DG2023

The geometry of $Φ_{(3)}$ -harmonic maps

Shuxiang Feng, Yingbo Han, Kaige Jiang +1

In this paper, we motivate and extend the study of harmonic maps or $Φ_{(1)}$ -harmonic maps (cf [15], Remark 1.3 (iii)), $Φ$ -harmonic maps or $Φ_{(2)}$ -harmonic maps (cf. [24], Rem…

math.DG2023★ 1 cited

Some links between $F$ -harmonicity, submersion and cohomology

Bang-Yen Chen, Shihshu Walter Wei

By studying cohomology classes that are related with $p$ -harmonic morphisms, $F$ -harmonic maps, and $f$ -harmonic maps, we extend several of our previous results on Riemannian subme…

math.DG2023

$n$ -Harmonicity, Minimality, Conformality and Cohomology

Bang-Yen Chen, Shihshu Walter Wei

By studying cohomology classes that are related with $n$ -harmonic morphisms and $F$ -harmonic maps, we augment and extend several results on $F$ -harmonic maps, harmonic maps in [1,…

math.DG2022

On exponential Yang-Mills fields and $p$ -Yang-Mills fields

Shihshu Walter Wei

We introduce \emph{normalized exponential Yang-Mills energy functional} $Y M_{e}^{0}$ , stress-energy tensor $S_{e, Y M^{0}}$ associated with the normalized \emph{expone…

math.DG2021

Dualities in Comparison Theorems and Bundle-Valued Generalized Harmonic Forms on Noncompact Manifolds

Shihshu Walter Wei

We observe, utilize dualities in differential equations and differential inequalities, dualities between comparison theorems in differential equations, and obtain dualities in "swa…

math.DG2020

Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds

Shihshu Walter Wei, Bing Ye Wu

In this paper we derive both local and global geometric inequalities on general Riemannnian and Finsler manifolds and prove generalized Caffarelli-Kohn-Nirenberg type and Hardy typ…

math.DG2020

Growth Estimates for Generalized Harmonic Forms on Noncompact Manifolds with Geometric Applications

Shihshu Walter Wei

We introduce Condition W (1.2) for a smooth differential form $ω$ on a complete noncompact Riemannian manifold $M$ . We prove that $ω$ is a harmonic form on $M$ if and only if $…

math.DG2019★ 1 cited

$Φ$ -Harmonic Maps and $Φ$ -Superstrongly Unstable Manifolds

Yingbo Han, Shihshu Walter Wei

In this paper, we motivate and define $Φ$ -energy density, $Φ$ -energy, $Φ$ -harmonic maps and stable $Φ$ -harmonic maps. Whereas harmonic maps or $p$ -harmonic maps can be viewed as cr…

math.DG2016★ 1 cited

$L^{2}$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds

Yuxin Dong, Hezi Lin, Shihshu Walter Wei

In this paper, by using monotonicity formulas for vector bundle-valued $p$ -forms satisfying the conservation law, we first obtain general $L^{2}$ global rigidity theorems for locally…

math.AP2013

Submanifolds of warped product manifolds $I \times_{f} S^{m - 1} (k)$ }} from a $p$ -harmonic viewpoint

Bang-Yen Chen, Shihshu Walter Wei

We study $p$ -harmonic maps, $p$ -harmonic morphisms, biharmonic maps, and quasiregular mappings into submanifolds of warped product Riemannian manifolds $I \times_{f} S^{m - 1} (k)$ …

math.DG2012

Liouville properties for p-harmonic maps with finite q-energy

Shu-Cheng Chang, Jui-Tang Chen, Shihshu Walter Wei

We introduce and study an approximate solution of the p-Laplace equation, and a linearlization $L_{ε}$ of a perturbed p-Laplace operator. By deriving an $L_{ε}$ -type Bochner's formula…

math.DG2010★ 7 cited

Generalized $1$ -harmonic Equation and The Inverse Mean Curvature Flow

Yng-Ing Lee, Ai-Nung Wang, Shihshu Walter Wei

We introduce and study generalized $1$ -harmonic equations (1.1). Using some ideas and techniques in studying $1$ -harmonic functions from [W1] (2007), and in studying nonhomogeneous…

math.DG2010★ 36 cited

On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

Yuxin Dong, Shihshu Walter Wei

Let $F : [0, \infty) \to [0, \infty)$ be a strictly increasing $C^{2}$ function with $F (0) = 0$ . We unify the concepts of $F$ -harmonic maps, minimal hypersurfaces, maximal spacelike hyp…

Convex Functions are p-Subharmonic Functions, p>1 On Rn with Applications

The geometry of Φ(3)​-harmonic maps

Some links between F-harmonicity, submersion and cohomology

n-Harmonicity, Minimality, Conformality and Cohomology

On exponential Yang-Mills fields and p-Yang-Mills fields

Dualities in Comparison Theorems and Bundle-Valued Generalized Harmonic Forms on Noncompact Manifolds

Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds

Growth Estimates for Generalized Harmonic Forms on Noncompact Manifolds with Geometric Applications

Φ-Harmonic Maps and Φ-Superstrongly Unstable Manifolds

L2 curvature pinching theorems and vanishing theorems on complete Riemannian manifolds

Submanifolds of warped product manifolds I×f​Sm−1(k)}} from a p-harmonic viewpoint

Liouville properties for p-harmonic maps with finite q-energy

Generalized 1-harmonic Equation and The Inverse Mean Curvature Flow

On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

Convex Functions are $p$ -Subharmonic Functions, $p > 1$ On $R^{n}$ with Applications

The geometry of $Φ_{(3)}$ -harmonic maps

Some links between $F$ -harmonicity, submersion and cohomology

$n$ -Harmonicity, Minimality, Conformality and Cohomology

On exponential Yang-Mills fields and $p$ -Yang-Mills fields

$Φ$ -Harmonic Maps and $Φ$ -Superstrongly Unstable Manifolds

$L^{2}$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds

Submanifolds of warped product manifolds $I \times_{f} S^{m - 1} (k)$ }} from a $p$ -harmonic viewpoint

Generalized $1$ -harmonic Equation and The Inverse Mean Curvature Flow