Shihshu Walter Wei

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All published works

Action	Title	Year	Authors
+ PDF Chat	Connecting Poincaré Inequality with Sobolev Inequalities on Riemannian Manifolds	2024	Shihshu Walter Wei
+	Finite-Dimensional Hopf Algebras	2023	Shihshu Walter Wei Ren Bei-shang
+ PDF Chat	$n$-harmonicity, minimality, conformality and cohomology	2023	Bang‐Yen Chen Shihshu Walter Wei
+ PDF Chat	The geometry of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si37.svg"><mml:msub><mml:mrow><mml:mi>Φ</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:math>-harmonic maps	2023	Shuxiang Feng Yingbo Han Kaige Jiang Shihshu Walter Wei
+	$n$-Harmonicity, Minimality, Conformality and Cohomology	2023	Bang‐Yen Chen Shihshu Walter Wei
+	Some links between $F$-harmonicity, submersion and cohomology	2023	Bang‐Yen Chen Shihshu Walter Wei
+	The geometry of $Φ_{(3)}$-harmonic maps	2023	Shuxiang Feng Yingbo Han Kaige Jiang Shihshu Walter Wei
+	Convex Functions are $p$-Subharmonic Functions, $p >1$ On $\mathbb{R}^n$ with Applications	2023	Shihshu Walter Wei
+	On exponential Yang-Mills fields and $p$-Yang-Mills fields	2022	Shihshu Walter Wei
+ PDF Chat	$$\Phi $$-Harmonic Maps and $$\Phi $$-Superstrongly Unstable Manifolds	2021	Yingbo Han Shihshu Walter Wei
+	Liouville type theorems and stability of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si59.svg"><mml:msub><mml:mrow><mml:mi>Φ</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-harmonic maps	2021	Shuxiang Feng Yingbo Han Shihshu Walter Wei
+ PDF Chat	Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds	2021	Shihshu Walter Wei
+	Dualities in Comparison Theorems and Bundle-Valued Generalized Harmonic Forms on Noncompact Manifolds	2021	Shihshu Walter Wei
+	The Geometry of $$\Phi _S$$-Harmonic Maps	2021	Shuxiang Feng Yingbo Han Li Xiao Shihshu Walter Wei
+	Dualities in Comparison Theorems and Bundle-Valued Generalized Harmonic Forms on Noncompact Manifolds	2021	Shihshu Walter Wei
+	Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds	2021	Shihshu Walter Wei Bing Ye Wu
+	Generalized Hardy Type and Caffarelli-Kohn-Nirenberg Type Inequalities on Finsler Manifolds	2020	Shihshu Walter Wei Bing Ye Wu
+ PDF Chat	Generalized Hardy Type and Caffarelli–Kohn–Nirenberg Type Inequalities on Finsler Manifolds	2020	Shihshu Walter Wei Bing Ye Wu
+ PDF Chat	Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications	2020	Shihshu Walter Wei
+	Growth Estimates for Generalized Harmonic Forms on Noncompact Manifolds with Geometric Applications	2020	Shihshu Walter Wei
+ PDF Chat	$L^2$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds	2019	Yuxin Dong Hezi Lin Shihshu Walter Wei
+	$Φ$-Harmonic Maps and $Φ$-Superstrongly Unstable Manifolds	2019	Yingbo Han Shihshu Walter Wei
+ PDF Chat	Sharp Growth Estimates for Warping Functions in Multiply Warped Product Manifolds	2019	Bang‐Yen Chen Shihshu Walter Wei
+	$Φ$-Harmonic Maps and $Φ$-Superstrongly Unstable Manifolds	2019	Yingbo Han Shihshu Walter Wei
+	RIEMANNIAN SUBMANIFOLDS WITH CONCIRCULAR CANONICAL FIELD	2019	Bang‐Yen Chen Shihshu Walter Wei
+	Sharp growth estimates for warping functions in multiply warped product manifolds	2018	Bang‐Yen Chen Shihshu Walter Wei
+	$L^2$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds	2016	Yuxin Dong Hezi Lin Shihshu Walter Wei
+ PDF Chat	Comparison Theorems in Riemannian Geometry with Applications	2016	Shihshu Walter Wei
+	Liouville properties for 𝑝-harmonic maps with finite 𝑞-energy	2015	Shu-Cheng Chang Jui-Tang Chen Shihshu Walter Wei
+	Geometry and Topology of Submanifolds and Currents	2015	Weiping Li Shihshu Walter Wei
+ PDF Chat	Discovering Geometric and Topological Properties of Ellipsoids by Curvatures	2015	Lina Wu Shihshu Walter Wei Jia Liu Ye Li
+	Geometry and topology of submanifolds and currents : 2013 Midwest Geometry Conference (MGC XIX), October 19, 2013, Oklahoma State University, Stillwater, OK : 2012 Midwest Geometry Conference (MGC XVIII), May 12-13, 2012, University of Oklahoma, Norman, OK	2015	Wei-Ping Li Shihshu Walter Wei
+	Remarks on Stable Minimal Hypersurfaces in Riemannian Manifolds and Generalized Bernstein Problems	2015	Shihshu Walter Wei Lina Wu Yongsheng Zhang
+	On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces	2015	Ralph W. Howard Shihshu Walter Wei
+	Submanifolds of warped product manifolds $I\times_f S^{m-1}(k)$}} from a $p$-harmonic viewpoint	2013	Bang‐Yen Chen Shihshu Walter Wei
+	Liouville properties for p-harmonic maps with finite q-energy	2012	Shu-Cheng Chang Jui-Tang Chen Shihshu Walter Wei
+ PDF Chat	Classification of stable currents in the product of spheres	2011	Shihshu Walter Wei
+ PDF Chat	Classification of stable currents in the product of spheres	2011	Shihshu Walter Wei
+ PDF Chat	On Vanishing Theorems for Vector Bundle Valued p-Forms and their Applications	2011	Yuxin Dong Shihshu Walter Wei
+	On a generalized 1-harmonic equation and the inverse mean curvature flow	2010	Yng-Ing Lee Ai Nung Wang Shihshu Walter Wei
+ PDF Chat	Generalized sharp Hardy type and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds	2009	Shihshu Walter Wei Li Ye
+ PDF Chat	$p$-harmonic morphisms, cohomology classes and submersions	2009	Bang‐Yen Chen Shihshu Walter Wei
+ PDF Chat	GROWTH ESTIMATES FOR WARPING FUNCTIONS AND THEIR GEOMETRIC APPLICATIONS	2009	Bang‐Yen Chen Shihshu Walter Wei
+	Differential Geometry of Submanifolds of Warped Product Manifolds I × f Sm−1(k)	2008	Bang‐Yen Chen Shihshu Walter Wei
+	The stability of harmonic maps on Finsler manifolds	2008	Yibing Shen Shihshu Walter Wei
+	Submanifolds of warped product manifolds I ×f S m−1 (k) from a p-harmonic viewpoint	2008	Bang‐Yen Chen Shihshu Walter Wei
+ PDF Chat	On 1-Harmonic Functions	2007	Shihshu Walter Wei
+ PDF Chat	Sharp isoperimetric inequalities and sphere theorems	2005	Shihshu Walter Wei Mei‐Jun Zhu
+	A Classification and some Constructions of p-harmonic Morphisms	2004	Ye‐Lin Ou Shihshu Walter Wei
+	Nonlinear partial differential systems on Riemannian manifolds with their geometric applications	2002	Shihshu Walter Wei
+ PDF Chat	Energy identity for $m$-harmonic maps	2002	Changyou Wang Shihshu Walter Wei
+ PDF Chat	Representing homotopy groups and spaces of maps by p-harmonic maps	1998	Shihshu Walter Wei
+ PDF Chat	ON P-HARMONIC MAPS AND THEIR APPLICATIONS TO GEOMETRY, TOPOLOGY AND ANALYSIS	1997	Shihshu Walter Wei
+	Regularity ofp-energy minimizing maps andp-superstrongly unstable indices	1994	Shihshu Walter Wei Chi-Ming Yau
+	Liouville theorems and regularity of minimizing harmonic maps into super-strongly unstable manifolds	1992	Shihshu Walter Wei
+	Plateau's problem in symmetric spaces	1988	Shihshu Walter Wei
+ PDF Chat	Nonexistence of stable harmonic maps to and from certain homogeneous spaces and submanifolds of Euclidean space	1986	Ralph Howard Shihshu Walter Wei
+	Liouville theorems for stable harmonic maps into either strongly unstable, or 𝛿-pinched, manifolds	1986	Shihshu Walter Wei
+ PDF Chat	Inequalities relating sectional curvatures of a submanifold to the size of its second fundamental form and applications to pinching theorems for submanifolds	1985	Ralph Howard Shihshu Walter Wei
+	BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY	1984	S. P. Wang Shihshu Walter Wei
+ PDF Chat	Embedded hyperspheres with prescribed mean curvature	1983	Andrejs Treibergs Shihshu Walter Wei

Common Coauthors

Coauthor	Papers Together
Bang‐Yen Chen	11
Yingbo Han	7
Shuxiang Feng	4
Bing Ye Wu	3
Yuxin Dong	3
Kaige Jiang	2
Ralph Howard	2
Shu-Cheng Chang	2
Hezi Lin	2
Andrejs Treibergs	1
Weiping Li	1
Chi-Ming Yau	1
Meijun Zhu	1
Ren Bei-shang	1
Ai Nung Wang	1
Jui-Tang Chen	1
Ralph W. Howard	1
Changyou Wang	1
Lina Wu	1
Lina Wu	1
Li Ye	1
Ye Li	1
Yongsheng Zhang	1
Wei-Ping Li	1
Ye‐Lin Ou	1
Li Xiao	1
Yibing Shen	1
Jia Liu	1
Jui-Tang Chen	1
Yng-Ing Lee	1
S. P. Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Representing homotopy groups and spaces of maps by p-harmonic maps	1998	Shihshu Walter Wei	16
+ PDF Chat	On Vanishing Theorems for Vector Bundle Valued p-Forms and their Applications	2011	Yuxin Dong Shihshu Walter Wei	13
+ PDF Chat	Nonexistence of stable harmonic maps to and from certain homogeneous spaces and submanifolds of Euclidean space	1986	Ralph Howard Shihshu Walter Wei	9
+	Mappings minimizing the <i>L</i><sup><i>p</i></sup> norm of the gradient	1987	Robert Hardt Fang‐Hua Lin	8
+	Stress-energy tensors and the Lichnerowicz Laplacian	2008	Paul Baird	8
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons	7
+ PDF Chat	Function Theory on Manifolds Which Possess a Pole	1979	R. E. Greene H. Wu	7
+ PDF Chat	Sharp Growth Estimates for Warping Functions in Multiply Warped Product Manifolds	2019	Bang‐Yen Chen Shihshu Walter Wei	7
+	Subharmonic functions on real and complex manifolds	1982	Leon Karp	6
+	Regularity ofp-energy minimizing maps andp-superstrongly unstable indices	1994	Shihshu Walter Wei Chi-Ming Yau	6
+ PDF Chat	GROWTH ESTIMATES FOR WARPING FUNCTIONS AND THEIR GEOMETRIC APPLICATIONS	2009	Bang‐Yen Chen Shihshu Walter Wei	5
+ PDF Chat	$L^2$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds	2019	Yuxin Dong Hezi Lin Shihshu Walter Wei	5
+	The Existence of Minimal Immersions of 2-Spheres	1981	J. Sacks Karen Uhlenbeck	5
+ PDF Chat	A regularity theory for harmonic maps	1982	Richard Schoen Karen Uhlenbeck	5
+	Existence of Incompressible Minimal Surfaces and the Topology of Three Dimensional Manifolds with Non-Negative Scalar Curvature	1979	Richard Schoen Shing‐Tung Yau	5
+	ON THE CONNECTIVITY OF SPACES OF POSITIVE CURVATURE	1936	J. L. Synge	5
+	Geometric Measure Theory	1988	Herbert Fédérer	4
+ PDF Chat	Minimal immersions of Riemannian manifolds	1966	Tsunero Takahashi	4
+ PDF Chat	Generalized sharp Hardy type and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds	2009	Shihshu Walter Wei Li Ye	4
+	Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature	1976	Richard Shoen Shing Tung Yau	4
+	Harmonic Mappings of Riemannian Manifolds	1964	James Eells J. H. Sampson	4
+	On p -harmonic morphisms	2000	E. Loubeau	4
+	Another Report on Harmonic Maps	1988	J. Eells L. Lemaire	4
+	Geometry of submanifolds	1973	Bang‐Yen Chen	4
+	A variational problem for pullback metrics	2011	Nobumitsu Nakauchi Yumi Takenaka	4
+ PDF Chat	Instability and nonexistence theorems for $F$-harmonic maps	2001	Mitsunori Ara	4
+ PDF Chat	Weighted Poincaré inequality and rigidity of complete manifolds	2006	Ping Li Jun Wang	4
+ PDF Chat	Harmonic functions and the structure of complete manifolds	1992	Peter Li Luen-Fai Tam	4
+ PDF Chat	On 1-Harmonic Functions	2007	Shihshu Walter Wei	4
+	A Classification and some Constructions of p-harmonic Morphisms	2004	Ye‐Lin Ou Shihshu Walter Wei	4
+ PDF Chat	Stability of harmonic maps and standard minimal immersions	1986	Yoshihiro Ohnita	4
+	Vanishing and Finiteness Results in Geometric Analysis: A Generalization of the Bochner Technique	2008	Stefano Pigola Marco Rigoli Alberto G. Setti	4
+	Some new and short proofs for a class of Caffarelli–Kohn–Nirenberg type inequalities	2007	David G. Costa	4
+ PDF Chat	Infima of energy functionals in homotopy classes of mappings	1986	Brian White	4
+	First order interpolation inequalities with weights	1984	Luis Caffarelli Robert V. Kohn Louis Nirenberg	4
+	Some results for stationary maps of a functional related to pullback metrics	2010	Shigeo Kawai Nobumitsu Nakauchi	4
+ PDF Chat	The topology of four-dimensional manifolds	1982	Michael Freedman	4
+	Stability of stationary maps of a functional related to pullbacks of metrics	2015	Shigeo Kawai Nobumitsu Nakauchi	4
+	Plateau's problem in symmetric spaces	1988	Shihshu Walter Wei	4
+ PDF Chat	Carleman estimates for the laplace-beltrami equation on complex manifolds	1965	Aldo Andreotti Edoardo Vesentini	4
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	3
+ PDF Chat	Motion of level sets by mean curvature. I	1991	L. C. Evans Joel Spruck	3
+	Some results on stable harmonic maps	1980	Y. L. Xin	3
+	p-harmonic maps and minimal submanifolds	1992	Paul Baird Sigmundur Gudmundsson	3
+ PDF Chat	Some conformal properties of p-harmonic maps and a regularity for sphere-valued p-harmonic maps	1994	Hiroshi Takeuchi	3
+ PDF Chat	Curvature estimates for minimal hypersurfaces	1975	Richard Schoen L. Simon S.-T. Yau	3
+	The Bochner Technique in Differential Geometry	2017	Hung-Hsi Wu	3
+ PDF Chat	Regularity for a class of non-linear elliptic systems	1977	Karen Uhlenbeck	3
+	Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions	1970	Enrico Bombieri	3
+ PDF Chat	Liouville theorems for harmonic maps	1992	Zhiren Jin	3