Xiaolong Li

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All published works

Action	Title	Year	Authors
+ PDF Chat	The Curvature Operator of the Second Kind in Dimension Three	2024	Harry Fluck Xiaolong Li
+ PDF Chat	Matrix Li–Yau–Hamilton estimates under Ricci flow and parabolic frequency	2024	Xiaolong Li Qi S. Zhang
+ PDF Chat	On the second Robin eigenvalue of the Laplacian	2023	Xiaolong Li Kui Wang Haotian Wu
+ PDF Chat	Eigenvalue Estimates on Quaternion-Kähler Manifolds	2023	Xiaolong Li Kui Wang
+ PDF Chat	Manifolds with $$4\frac{1}{2}$$-Positive Curvature Operator of the Second Kind	2022	Xiaolong Li
+	Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds	2021	Xiaolong Li Kui Wang
+ PDF Chat	Modulus of continuity estimates for fully nonlinear parabolic equations	2021	Xiaolong Li
+	Sharp Lower Bound for the First Eigenvalue of the Weighted p-Laplacian I	2021	Xiaolong Li Kui Wang
+	Fourier-Cosine Method for Finite-Time Gerber--Shiu Functions	2021	Xiaolong Li Yifan Shi Sheung Chi Phillip Yam Hailiang Yang
+ PDF Chat	First Robin eigenvalue of the p-Laplacian on Riemannian manifolds	2020	Xiaolong Li Kui Wang
+	Lower bounds for the first eigenvalue of the Laplacian on K\"ahler manifolds	2020	Xiaolong Li Kui Wang
+	On the second Robin eigenvalue of the Laplacian	2020	Xiaolong Li Kui Wang Haotian Wu
+	Modulus of Continuity Estimates for Fully Nonlinear Parabolic Equations	2020	Xiaolong Li
+	On a class of quasilinear operators on smooth metric measure spaces	2020	Xiaolong Li Yucheng Tu Kui Wang
+	Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds	2020	Xiaolong Li Kui Wang
+	Sharp lower bound for the first eigenvalue of the Weighted $p$-Laplacian: the positive curvature case	2019	Xiaolong Li Kui Wang
+ PDF Chat	Parabolic frequency monotonicity on compact manifolds	2019	Xiaolong Li Kui Wang
+	Kähler-Ricci shrinkers and ancient solutions with nonnegative orthogonal bisectional curvature	2019	Xiaolong Li Lei Ni
+	Eigenvalues of a Linear Fourth-Order Differential Operator with Squared Spectral Parameter in a Boundary Condition	2018	Chenghua Gao Xiaolong Li Ruyun Ma
+	Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions	2018	Chenghua Gao Xiaolong Li Fei Zhang
+	Parabolic frequency monotonicity on compact manifolds	2018	Xiaolong Li Kui Wang
+ PDF Chat	Nonparametric Hypersurfaces Moving by Powers of Gauss Curvature	2017	Xiaolong Li Kui Wang
+ PDF Chat	A Geometric Model of Mixing Lyapunov Exponents Inside Homoclinic Classes in Dimension Three	2017	Xiaolong Li
+	Moduli of Continuity, Gauss Curvature Flow and Ricci Solitons	2017	Xiaolong Li
+ PDF Chat	Four-Dimensional Gradient Shrinking Solitons with Positive Isotropic Curvature	2016	Xiaolong Li Lei Ni Kui Wang
+ PDF Chat	Moduli of Continuity for Viscosity Solutions on Manifolds	2016	Xiaolong Li Kui Wang
+	Moduli of Continuity for Viscosity Solutions on Manifolds	2015	Xiaolong Li Kui Wang
+	The Existence of Positive Solutions for a Class of Fourth-order Boundary Value Problems in Ordered Banach Spaces	2013	Xiaolong Li
+	Positive Solutions of Nonlinear Third-order Periodic Boundary Value Problems in Banach Spaces	2013	Xiaolong Li
+	Existence of positive solutions of fourth-order periodic boundary value problems in Banach spaces	2013	Xiaolong Li
+	EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR ORDER DIFFERENTIAL EQUATIONS IN ORDERED BANACH SPACES	2012	Xiaolong Li
+	Positive Periodic Solutions for a Class of Nonlinear Higher Order Differential Equations	2010	Xiaolong Li
+	Solution of terminal value problem for differentialequations in banach spaces	2005	Xiaolong Li
+	Solution of Terminal Value Problem for Integro-differential Equations in Banach Spaces	2005	Xiaolong Li
+	Existence of periodic solutions for nonlinear evolution equations in Banach spaces	2005	Xiaolong Li

Common Coauthors

Coauthor	Papers Together
Kui Wang	11
Chenghua Gao	2
Kui Wang	2
Lei Ni	2
Haotian Wu	2
Kui Wang	1
Kui Wang	1
Kui Wang	1
Fei Zhang	1
Ruyun Ma	1
Yucheng Tu	1
Hailiang Yang	1
Harry Fluck	1
Qi S. Zhang	1
Yifan Shi	1
Sheung Chi Phillip Yam	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Moduli of continuity for viscosity solutions	2015	Xiaolong Li	10
+ PDF Chat	Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue	2013	Ben Andrews Julie Clutterbuck	10
+	Estimates on the modulus of expansion for vector fields solving nonlinear equations	2012	Lei Ni	9
+ PDF Chat	Eigenvalue Comparison on Bakry-Emery Manifolds	2012	Ben Andrews Lei Ni	8
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions	8
+ PDF Chat	Time-interior gradient estimates for quasilinear parabolic equations	2009	Ben Andrews Julie Clutterbuck	8
+ PDF Chat	Moduli of Continuity for Viscosity Solutions on Manifolds	2016	Xiaolong Li Kui Wang	8
+	Proof of the fundamental gap conjecture	2011	Ben Andrews Julie Clutterbuck	8
+ PDF Chat	Sharp fundamental gap estimate on convex domains of sphere	2019	Shoo Seto Lili Wang Guofang Wei	7
+	Sharp lower bound for the first eigenvalue of the Weighted $p$-Laplacian	2019	Xiaolong Li Kui Wang	7
+ PDF Chat	Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations	2014	Ben Andrews	6
+ PDF Chat	On the spectral gap for compact manifolds	1992	Pawel Kröger	6
+	Fundamental Gap of Convex Domains in the Spheres	2020	Chenxu He Guofang Wei Qi S. Zhang	6
+	Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature	2000	Dominique Bakry Zhongmin Qian	6
+ PDF Chat	Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound	2014	Aaron Naber Daniele Valtorta	5
+ PDF Chat	Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable	2009	Ben Andrews Julie Clutterbuck	5
+ PDF Chat	Comparison and vanishing theorems for Kähler manifolds	2018	Lei Ni Fangyang Zheng	5
+	Gradient estimates via two-point functions for elliptic equations on manifolds	2019	Ben Andrews Changwei Xiong	5
+ PDF Chat	Sharp estimate on the first eigenvalue of the -Laplacian	2012	Daniele Valtorta	5
+	Lectures on Differential Geometry	1994	Richard Schoen Shing Tung Yau	5
+ PDF Chat	Fundamental gap estimate for convex domains on sphere — the case $n=2$	2021	Xianzhe Dai Shoo Seto Guofang Wei	4
+	On a class of quasilinear operators on smooth metric measure spaces	2020	Xiaolong Li Yucheng Tu Kui Wang	4
+ PDF Chat	On orthogonal Ricci curvature	2019	Lei Ni Fangyang Zheng	4
+	Modulus of Continuity Estimates for Fully Nonlinear Parabolic Equations	2020	Xiaolong Li	4
+ PDF Chat	An alternative proof of lower bounds for the first eigenvalue on manifolds	2017	Yuntao Zhang Kui Wang	4
+	Manifolds with 1/4-pinched curvature are space forms	2008	Simon Brendle Richard Schoen	4
+ PDF Chat	On a lower bound for the first eigenvalue of the Laplace operator on a riemannian manifold	1984	Atsushi Kasue	4
+ PDF Chat	An elementary method in the study of nonnegative curvature	1979	H. Wu	4
+	ON THE ESTIMATE OF THE FIRST EIGENVALUE OF A COMPACT RIEMANNIAN MANIFOLD	1984	Jiaqiang Zhong Hongcang Yang	4
+ PDF Chat	A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds	2013	Vincent Guedj Boris Kolev Nader Yeganefar	3
+	Lectures on Kähler Manifolds	2006	Werner Ballmann	3
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng	3
+ PDF Chat	First Robin eigenvalue of the p-Laplacian on Riemannian manifolds	2020	Xiaolong Li Kui Wang	3
+	Estimates of eigenvalues of a compact Riemannian manifold	1980	Peter Li Shing Tung Yau	3
+ PDF Chat	Comparison theorem for Kähler manifolds and positivity of spectrum	2005	Peter Li Jiaping Wang	3
+	First eigenvalue of the $p$-Laplacian on Kähler manifolds	2018	Casey Blacker Shoo Seto	3
+	Minimal Two-Spheres and the Topology of Manifolds with Positive Curvature on Totally Isotropic Two-Planes	1988	Mario Micallef John Douglas Moore	3
+ PDF Chat	Sharp estimates for the principal eigenvalue of the p-operator	2018	Thomas Koerber	3
+ PDF Chat	A general convergence result for the Ricci flow in higher dimensions	2008	Simon Brendle	3
+	Application of Coupling Method to the First Eigenvalue on Manifold	1994	Chen Mu	3
+ PDF Chat	Four-manifolds with positive curvature operator	1986	Richard S. Hamilton	3
+	Matrix Li-Yau-Hamilton estimates for the heat equation on K�hler manifolds	2004	Huai-Dong Cao Lei Ni	3
+ PDF Chat	Generalized motion of level sets by functions of their curvatures on Riemannian manifolds	2008	Daniel Azagra M. J. Sevilla Fabricio Macià	3
+ PDF Chat	Classification of manifolds with weakly 1/4-pinched curvatures	2008	Simon Brendle Richard Schoen	3
+	Nodal sets of solutions of elliptic and parabolic equations	1991	Fang‐Hua Lin	3
+	Qnique Continuation for	1996	Chi‐Cheung Poon	3
+ PDF Chat	Some comparison theorems for Kähler manifolds	2011	Luen-Fai Tam Chengjie Yu	3
+	Unique continuation for elliptic operators: A geometric‐variational approach	1987	Nicola Garofalo Fang‐Hua Lin	3
+ PDF Chat	Matrix Harnack estimate for the heat equation	1993	Richard S. Hamilton	3
+	On deformation of Riemannian metrics and manifolds with positive curvature operator	1986	Seiki Nishikawa	2