Baishun Lai

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All published works

Action	Title	Year	Authors
+ PDF Chat	Applications of the Green tensor estimates of the nonstationary Stokes system in the half space	2024	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	The forward self-similar solution of fractional incompressible Navier-Stokes system: the critical case	2024	Baishun Lai
+	The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations	2023	Baishun Lai Ge Tang
+ PDF Chat	The Green Tensor of the Nonstationary Stokes System in the Half Space	2023	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	Local L2 theory of the fractional Navier-Stokes equations and the self-similar solution	2022	Baishun Lai Jingyue Li Xiaoxin Zheng
+	Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space	2022	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	On the energy equality for very weak solutions to 3D MHD equations	2021	Baishun Lai Yifan Yang
+ PDF Chat	Global regularity of weak solutions to the generalized Leray equations and its applications	2021	Baishun Lai Changxing Miao Xiaoxin Zheng
+	Finite energy Navier-Stokes flows with unbounded gradients induced by localized flux in the half-space	2021	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	The Green tensor of the nonstationary Stokes system in the half space	2020	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	Forward self-similar solutions of the fractional Navier-Stokes equations	2019	Baishun Lai Changxing Miao Xiaoxin Zheng
+	Properties of the linear non-local Stokes operator and its application	2019	Xiangdi Cao Qionglei Chen Baishun Lai
+	Global Regularity of weak solutions to the generalized Leray equations and its applications	2019	Baishun Lai Changxing Miao Xioaxin Zheng
+	Radial singular solutions for a fourth order equation with negative exponents	2017	Baishun Lai
+	On the interior regularity criteria for liquid crystal flows	2017	Baishun Lai Wenya Ma
+	Gelfand Type Elliptic Problem Involving Advection	2017	Baishun Lai Lulu Zhang
+ PDF Chat	Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity	2017	Baishun Lai Zhengxiang Yan Yinghui Zhang
+ PDF Chat	Forward Self-Similar Solutions to the Viscoelastic Navier--Stokes Equation with Damping	2017	Baishun Lai Junyu Lin Changyou Wang
+	Well-posedness of a fourth order evolution equation Modeling MEMS	2017	Baishun Lai
+	A new proof of Dávila–Flores–Guerra’s result on existence of singular solutions	2016	Baishun Lai Jing Wang
+	The fourth order elliptic problem with exponential nonlinearity	2016	Baishun Lai Qing Luo
+	The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents	2016	Baishun Lai
+	Forward self-similar solutions to the viscoelastic Navier-Stokes equation with damping	2016	Baishun Lai Junyu Lin Changyou Wang
+ PDF Chat	Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems	2015	Baishun Lai Dong Ye
+ PDF Chat	Global Finite Energy Weak Solutions to the Compressible Nematic Liquid Crystal Flow in Dimension Three	2015	Junyu Lin Baishun Lai Changyou Wang
+	Global well-posedness of the Landau–Lifshitz–Gilbert equation for initial data in Morrey spaces	2014	Junyu Lin Baishun Lai Changyou Wang
+	A new proof of I. Guerra's results concerning nonlinear biharmonic equations with negative exponents	2014	Baishun Lai
+ PDF Chat	On the Partial Differential Equations of Electrostatic MEMS Devices with Effects of Casimir Force	2014	Baishun Lai
+	Regularity and uniqueness results for second-order nonlinear eigenvalue problems	2014	Baishun Lai Qing Luo
+ PDF Chat	Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity	2014	Baishun Lai
+	Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three	2014	Junyu Lin Baishun Lai Changyou Wang
+	Global Well-Posedness of the Landau-Lifshitz-Gilbert equation for initial data in Morrey space	2013	Junyu Lin Baishun Lai Changyou Wang
+ PDF Chat	Properties of the extremal solution for a fourth-order elliptic problem	2012	Baishun Lai Zhuoran Du
+	Infinite multiplicity for an inhomogeneous supercritical problem in entire space	2011	Baishun Lai Zhihao Ge
+ PDF Chat	ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN ℝn	2011	Baishun Lai Qing Luo Shuqing Zhou
+ PDF Chat	Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity	2011	Baishun Lai Qing Luo
+	Some remarks on biharmonic elliptic problems with a singular nonlinearity	2011	Baishun Lai
+	Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearity	2011	Baishun Lai Zhengxiang Yan Yinghui Zhang
+ PDF Chat	Uniqueness of singular solution of semilinear elliptic equation	2010	Baishun Lai Qing Luo
+ PDF Chat	Saddle solutions of nonlinear elliptic equations involving the p-Laplacian	2010	Zhuoran Du Zheng Zhou Baishun Lai
+	Asymptotic behavior of positive solutions of semilinear elliptic equations in $R^{n}$	2010	Baishun Lai Shuqing Zhou Qing Luo
+	Properties of the extremal solution for a fourth-order elliptic problem	2010	Baishun Lai Zhuoran Du
+	Infinite multiplicity for inhomogeneous supercritical problem in entire space	2010	Baishun Lai Zhihao Ge
+	Regularity of the extremal solution for a fourth-order elliptic problem with singular nonlinearity	2010	Baishun Lai Qing Luo
+	Uniqueness of singular solution of semilinear elliptic equation	2010	Baishun Lai Qing Luo
+ PDF Chat	On the semistability of the minimal positive steady state for a nonhomogeneous semilinear Cauchy problem	2008	Baishun Lai Yi Li

Common Coauthors

Coauthor	Papers Together
Qing Luo	6
Junyu Lin	6
Changyou Wang	6
Tai‐Peng Tsai	5
Kyungkeun Kang	5
Chen‐Chih Lai	5
Zhuoran Du	3
Xiaoxin Zheng	3
Changxing Miao	3
Shuqing Zhou	2
Zhihao Ge	2
Qing Luo	2
Zhengxiang Yan	2
Yinghui Zhang	2
Yifan Yang	1
Yi Li	1
Lulu Zhang	1
Dong Ye	1
Wenya Ma	1
Jing Wang	1
Ge Tang	1
Xiangdi Cao	1
Jingyue Li	1
Zheng Zhou	1
Xioaxin Zheng	1
Qionglei Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Forward self-similar solutions of the Navier–Stokes equations in the half space	2016	Mikhail V. Korobkov Tai‐Peng Tsai	9
+	Multiplicity of solutions for a fourth order equation with power-type nonlinearity	2009	Juan Dávila Isabel Flores Ignacio Guerra	9
+ PDF Chat	Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions	2013	Hao Jia Vladimír Šverák	8
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru	8
+	On the critical dimension of a fourth order elliptic problem with negative exponent	2009	Amir Moradifam	7
+ PDF Chat	Stable Solutions for the Bilaplacian with Exponential Nonlinearity	2007	Juan Dávila Louis Dupaigne Ignacio Guerra Marcelo Montenegro	7
+	Quasilinear Dirichlet problems driven by positive sources	1973	D. D. Joseph T. S. Lundgren	7
+	On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem	2006	Yinbin Deng Yi Li Fen Yang	7
+	Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems	1975	Michael G. Crandall Paul H. Rabinowitz	6
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato	6
+ PDF Chat	A Semilinear Fourth Order Elliptic Problem with Exponential Nonlinearity	2005	Gianni Arioli Filippo Gazzola Hans-Christoph Grunau Enzo Mitidieri	6
+	Partial Regularity of Suitable Weak Solutions to the Fractional Navier–Stokes Equations	2014	Lan Tang Yong Yu	6
+	Self-similar solutions for navier-stokes equations in	1996	Marco Cannone Fabrice Planchon	6
+ PDF Chat	On Leray's Self-Similar Solutions of the Navier-Stokes Equations Satisfying Local Energy Estimates	1998	Tai‐Peng Tsai	6
+ PDF Chat	On Leray's self-similar solutions of the Navier-Stokes equations	1996	J. Nečas Michael Růžička Vladimír Šverák	6
+	Semilinear elliptic equations of Matukuma-type and related topics	1988	Wei-Ming Ni Shoji Yotsutani	5
+ PDF Chat	BIow-up solutions of some nonlinear elliptic problems	1997	Juan Luís Vázquez Haı̈m Brezis	5
+	Separation structure of positive radial solutions of a semilinear elliptic equation in Rn	2003	Soohyun Bae	5
+ PDF Chat	Ill-Posedness of Leray Solutions for the Hypodissipative Navier–Stokes Equations	2018	Maria Colombo Camillo De Lellis Luigi De Rosa	5
+	Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on ${\bf R}^n$	2001	Soohyun Bae Wei‐Ming Ni	5
+ PDF Chat	The Critical Dimension for a Fourth Order Elliptic Problem with Singular Nonlinearity	2010	Craig Cowan Pierpaolo Esposito Nassif Ghoussoub Amir Moradifam	5
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	5
+ PDF Chat	Forward Discretely Self-Similar Solutions of the Navier–Stokes Equations	2014	Tai‐Peng Tsai	5
+	Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS	2010	Pierpaolo Esposito Nassif Ghoussoub Yujin Guo	5
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	5
+ PDF Chat	Well-posedness of the Cauchy problem for the fractional power dissipative equations	2006	Changxing Miao Baoquan Yuan Bo Zhang	5
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	4
+	The Dirichlet problem for supercritical biharmonic equations with power-type nonlinearity	2006	Alberto Ferrero Hans-Christoph Grunau	4
+	An Inhomogeneous Semilinear Equation in Entire Space	1996	Guy Bernard	4
+ PDF Chat	Stochastic Lagrangian Particle Approach to Fractal Navier-Stokes Equations	2012	Xicheng Zhang	4
+ PDF Chat	The Generalized Caffarelli‐Kohn‐Nirenberg Theorem for the Hyperdissipative Navier‐Stokes System	2019	Maria Colombo Camillo De Lellis Annalisa Massaccesi	4
+ PDF Chat	Self-similar solutions in weak $L^p$-spaces of the Navier-Stokes equations	1996	Oscar A. Barraza	4
+	A cheap Caffarelli--Kohn--Nirenberg inequality for the Navier--Stokes equation with hyper-dissipation	2002	N. Katz Nataša Pavlović	4
+	Forward self-similar solutions of the fractional Navier-Stokes equations	2019	Baishun Lai Changxing Miao Xiaoxin Zheng	4
+	Navier-stokes flow in r<sup>3</sup>with measures as initial vorticity and morrey spaces	1989	Yoshikazu Giga Tetsuro Miyakawa	4
+	On positive entire solutions of the elliptic equation <i>Δu</i> + <i>K(x)u<sup>p</sup></i> = 0 and its applications to Riemannian geometry	1996	Changfeng Gui	4
+	Properties of the linear non-local Stokes operator and its application	2019	Xiangdi Cao Qionglei Chen Baishun Lai	4
+	On the regularity of weak solutions to the magnetohydrodynamic equations	2004	He Cheng Zhouping Xin	3
+	New asymptotic profiles of nonstationary solutions of the Navier–Stokes system	2007	Lorenzo Brandolese François Vigneron	3
+ PDF Chat	Unbounded normal derivative for the Stokes system near boundary	2004	Kyungkeun Kang	3
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	3
+	Nonlinear biharmonic equations with negative exponents	2008	Y. S. Choi Xingwang Xu	3
+ PDF Chat	Fine Properties of Self-Similar Solutions of the Navier–Stokes Equations	2008	Lorenzo Brandolese	3
+	Strong solutions of the Navier-Stokes equation in Morrey spaces	1992	Tosio Kato	3
+	On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional NavierStokes equations	1999	O. A. Ladyzhenskaya G. Serëgin	3
+	Separation Property of Solutions for a Semilinear Elliptic Equation	2000	Yi Liu Yi Li Yinbin Deng	3
+	Bessel pairs and optimal Hardy and Hardy–Rellich inequalities	2010	Nassif Ghoussoub Amir Moradifam	3
+	Infinite Multiplicity of Positive Entire Solutions for a Semilinear Elliptic Equation	2002	Soohyun Bae Tong Keun Chang Dae Hyeon Pahk	3
+	Nonparabolic dissipative systems modeling the flow of liquid crystals	1995	Fang‐Hua Lin Chun Liu	3
+	Further Study on a Nonlinear Heat Equation	2001	Changfeng Gui Wei-Ming Ni Xuefeng Wang	3