## Cao, Daomin

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 Author ID: cao.daomin Published as: Cao, Daomin; Cao, D. M.; Cao, Dao-Min; Cao, Dao-min; Cao, Daoming; Cao, D. more...less Homepage: http://www.amt.ac.cn/member/caodaomin/paper.html External Links: MGP · dblp
 Documents Indexed: 141 Publications since 1988, including 2 Books 2 Contributions as Editor Co-Authors: 62 Co-Authors with 131 Joint Publications 2,769 Co-Co-Authors
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### Co-Authors

 12 single-authored 21 Yan, Shusen 19 Peng, Shuangjie 17 Noussair, Ezzat S. 12 Wang, Guodong 9 Kim, Tujin 9 Zhan, Weicheng 7 Han, Pigong 6 Duan, Jinqiao 6 Wan, Jie 5 Li, Gongbao 5 Liu, Zhongyuan 5 Sun, Chunyou 5 Zhou, Huan-Song 5 Zhu, Xiping 4 Dai, Wei 4 Qin, Guolin 4 Zou, Changjun 3 Chabrowski, Jan H. 3 Chen, Gui-Qiang G. 3 Deng, Yinbin 3 Li, YanYan 2 Fu, Hongbo 2 Guo, Qing 2 He, Xiaoming 2 Li, Hang 2 Li, Shuanglong 2 Luo, Peng 2 Ma, Ruyun 2 Tang, Zhongwei 2 Wei, Juncheng 2 Yang, Meihua 2 Zhong, Xiao 1 Agarwal, Ravi P. 1 Chern, I-Liang 1 Dancer, Edward Norman 1 Gao, Xiaoshan 1 Ge, Weigao 1 Guo, Yuxia 1 He, Jinchun 1 Heinz, Hans-Peter 1 Huang, Feimin 1 Jia, HuiFang 1 Küpper, Tassilo 1 Lai, Shanfa 1 Li, Yanyan 1 Lu, Haishen 1 Lucia, Marcello 1 Luo, Xiao 1 O’Regan, Donal 1 Peng, Shuangjic 1 Ren, Jian 1 Song, Xiaoya 1 Su, Yiming 1 Tang, Xianhua 1 Wang, Qingfang 1 Wang, Wei 1 Xu, Haoyuan 1 Yan, Shunsen 1 Yang, Weihua 1 Yu, Weilin 1 Zou, Xingfu 1 Zuo, Bijun
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### Serials

 15 Journal of Differential Equations 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Calculus of Variations and Partial Differential Equations 6 Acta Mathematica Scientia 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications 4 Communications in Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Differential and Integral Equations 3 SIAM Journal on Mathematical Analysis 3 Methods and Applications of Analysis 3 Advances in Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 2 IMA Journal of Applied Mathematics 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Pacific Journal of Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Mathematical Sciences. University of Tokyo 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 2 Science China. Mathematics 2 Scientia Sinica. Mathematica 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series A 1 Applied Mathematics Letters 1 Systems Science and Mathematical Sciences 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Partial Differential Equations 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Revista Matemática Complutense 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 SIAM Journal on Applied Dynamical Systems 1 Dynamics of Partial Differential Equations 1 Cambridge Studies in Advanced Mathematics 1 Annals of Applied Mathematics 1 Advances in Mathematical Fluid Mechanics
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### Fields

 129 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 10 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 1,905 times in 1,326 Documents Cited by Year
Nontrivial solution of semilinear elliptic equation with critical exponent in $${\mathbb{R}{}}^ 2$$. Zbl 0763.35034
Cao, D. M.
1992
Solutions for semilinear elliptic equations with critical exponents and Hardy potential. Zbl 1154.35346
Cao, Daomin; Han, Pigong
2004
A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms. Zbl 1140.35412
Cao, Daomin; Peng, Shuangjie
2003
The asymptotic behaviour of the ground state solutions for Hénon equation. Zbl 1086.35036
Cao, Daomin; Peng, Shuangjie
2003
Multiple positive solutions of nonhomogeneous semilinear elliptic equations in $$\mathbb{R}^ N$$. Zbl 0846.35042
Cao, Daomin; Zhou, Huansong
1996
Solutions to critical elliptic equations with multi-singular inverse square potentials. Zbl 1198.35086
Cao, Daomin; Han, Pigong
2006
Infinitely many solutions for $$p$$-Laplacian equation involving critical Sobolev growth. Zbl 1238.35038
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2012
A global compactness result for singular elliptic problems involving critical Sobolev exponent. Zbl 1075.35009
Cao, Daomin; Peng, Shuangjie
2003
Solutions with multiple peaks for nonlinear elliptic equations. Zbl 0928.35048
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
1999
Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential. Zbl 1194.35161
Cao, Daomin; Yan, Shusen
2010
Semi-classical bound states for Schrödinger equations with potentials vanishing or unbounded at infinity. Zbl 1185.35248
Cao, Daomin; Peng, Shuangjie
2009
Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay. Zbl 1113.34052
Tang, Xianhua; Cao, Daomin; Zou, Xingfu
2006
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Zbl 1113.35133
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2006
Dynamics for a stochastic reaction-diffusion equation with additive noise. Zbl 1323.35226
Cao, Daomin; Sun, Chunyou; Yang, Meihua
2015
Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1357.35258
Cao, Daomin; Tang, Zhongwei
2006
Multiplicity of positive and nodal solutions for nonlinear elliptic problems in $$\mathbb{R}^ N$$. Zbl 0859.35032
Cao, Daomin; Noussair, Ezzat S.
1996
Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations. Zbl 1338.35404
Cao, Daomin; Li, Shuanglong; Luo, Peng
2015
Regularization of point vortices pairs for the Euler equation in dimension two. Zbl 1293.35223
Cao, Daomin; Liu, Zhongyuan; Wei, Juncheng
2014
On the scalar curvature equation $$-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}$$ in $${\mathbb R}^N$$. Zbl 1148.35319
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2002
Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1063.35142
Cao, Daomin; Noussair, Ezzat S.
2004
On the existence and nodal character of solutions of semilinear elliptic equations. Zbl 0668.35029
Cao, Daomin; Zhu, Xiping
1988
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations. Zbl 1142.35601
Cao, Daomin; Heinz, Hans-Peter
2003
The concentration-compactness principle in nonlinear elliptic equations. Zbl 0702.35095
Zhu, Xiping; Cao, Daomin
1989
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0947.35073
Cao, Daomin; Dancer, Norman E.; Noussair, Ezzat S.; Yan, Shunsen
1996
Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2009
Existence and uniqueness results on single-peaked solutions of a semilinear problem. Zbl 0905.35033
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
1998
Planar vortex patch problem in incompressible steady flow. Zbl 1480.35318
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2015
Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on $$R^ n$$. Zbl 0729.35049
Cao, Daomin
1990
Non-autonomous wave dynamics with memory – asymptotic regularity and uniform attractors. Zbl 1170.35026
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2008
Positive solutions for some singular critical growth nonlinear elliptic equations. Zbl 1273.35124
Cao, Daomin; He, Xiaoming; Peng, Shuangjic
2005
Multi-bump bound states of Schrödinger equations with a critical frequency. Zbl 1123.35061
Cao, Daomin; Peng, Shuangjie
2006
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
2008
Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1167.35042
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2008
Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent. Zbl 0814.35026
Cao, Dao-Min; Li, Gong-Bao; Zhou, Huan-Song
1994
On ground state of spinor Bose-Einstein condensates. Zbl 1228.35218
Cao, Daomin; Chern, I-Liang; Wei, Jun-Cheng
2011
Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth. Zbl 1232.35058
Cao, Daomin; Peng, Shuangjie
2006
Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity. Zbl 1437.35383
Cao, Daomin; Dai, Wei
2019
Multiplicity of solutions for the plasma problem in two dimensions. Zbl 1200.35130
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2010
Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem. Zbl 1140.35440
Cao, Daomin; Noussair, E. S.; Yan, Shusen
2001
Steady vortex patches with opposite rotation directions in a planar ideal fluid. Zbl 1450.76003
Cao, Daomin; Wang, Guodong
2019
On the existence of multipeaked solutions to a semilinear Neumann problem. Zbl 0942.35085
Cao, Daomin; Küpper, Tassilo
1999
Multiple positive and nodal solutions for semilinear elliptic problems with critical exponents. Zbl 0849.35030
Cao, Daomin; Noussair, Ezzat S.
1995
Multiple solutions for a Neumann problem in an exterior domain. Zbl 0803.35049
Cao, D. M.
1993
Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents. Zbl 0879.35055
Cao, Daomin; Zhong, Xiao
1997
Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153
Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2019
Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation. Zbl 1287.35096
Cao, Daomin; Su, Yiming
2013
Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians. Zbl 1465.35388
Cao, Daomin; Dai, Wei; Qin, Guolin
2021
Nodal solutions for a supercritical semilinear problem with variable exponent. Zbl 1392.35156
Cao, Daomin; Li, Shuanglong; Liu, Zhongyuan
2018
Solutions with prescribed number of nodes to superlinear elliptic systems. Zbl 1073.35078
Cao, Daomin; Tang, Zhongwei
2003
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains. Zbl 1125.60064
Wang, Wei; Cao, Daomin; Duan, Jinqiao
2007
Sign-changing bubble tower solutions for the supercritical Hénon-type equations. Zbl 1403.35108
Cao, Daomin; Liu, Zhongyuan; Peng, Shuangjie
2018
Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. Zbl 1461.76082
Cao, Daomin; Wang, Guodong; Zhan, Weicheng
2020
Singularly perturbed methods for nonlinear elliptic problems. Zbl 1465.35003
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2021
On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents. Zbl 0849.35027
Cao, Daomin; Zhou, Huansong
1996
On the webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry. Zbl 1277.32041
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2013
Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity. Zbl 0889.35033
Cao, D.; Chabrowski, J.
1997
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth. Zbl 1223.35170
Cao, Daomin; Yan, Shusen
2011
Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions. Zbl 1304.35551
Kim, Tujin; Cao, Daomin
2015
Regularization of planar vortices for the incompressible flow. Zbl 1438.35191
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2018
A note on steady vortex flows in two dimensions. Zbl 1431.33015
Cao, Daomin; Wang, Guodong
2020
High energy solutions of the Choquard equation. Zbl 1397.35238
Cao, Daomin; Li, Hang
2018
Positive solutions to a second-order multi-point boundary-value problem. Zbl 0964.34022
Cao, Daomin; Ma, Ruyun
2000
Multi-peak solutions for a singularly perturbed semilinear elliptic problem. Zbl 0966.35039
Cao, Daomin; Noussair, Ezzat S.
2000
The effect of geometry of the domain boundary in an elliptic Neumann problem. Zbl 1140.35411
Cao, Daomin; Noussair, Ezzat S.
2001
Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. Zbl 1109.35037
Cao, Daomin; Han, Pigong
2004
Existence of symmetric multi-peaked solutions to singularly perturbed semilinear elliptic problems. Zbl 0963.35059
Cao, Daomin; Noussair, Ezzat S.
2000
High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities. Zbl 1331.35140
Cao, Daomin; Han, Pigong
2006
Nonlinear orbital stability for planar vortex patches. Zbl 1444.76036
Cao, Daomin; Wan, Jie; Wang, Guodong
2019
Multiple solutions of a semilinear elliptic equation in $$\mathbb{R}^ N$$. Zbl 0797.35039
Cao, Dao-Min
1993
Steady vortex patch solutions to the vortex-wave system. Zbl 1411.76027
Cao, Daomin; Wang, Guodong
2019
Local exact controllability of the Navier-Stokes equations with the condition on the pressure on parts of the boundary. Zbl 1202.35156
Kim, Tujin; Cao, Daomin
2010
The steady Navier-Stokes and Stokes systems with mixed boundary conditions including one-sided leaks and pressure. Zbl 1372.35116
Kim, Tujin; Cao, Daomin
2016
Continuous dependence of Cauchy problem for nonlinear Schrödinger equation in $$H^s$$. Zbl 1284.35395
Dai, Wei; Yang, Weihua; Cao, Daomin
2013
Existence and multiplicity of positive solutions for singular semipositone $$p$$-Laplacian equations. Zbl 1122.34014
Agarwal, Ravi P.; Cao, Daomin; Lü, Haishen; O’Regan, Donal
2006
Desingularization of vortex rings in 3 dimensional Euler flows. Zbl 1451.35120
Cao, Daomin; Wan, Jie; Zhan, Weicheng
2021
On a variational problem proposed by H. Brézis. Zbl 0776.49010
Cao, Daomin; Li, Gongbao
1993
Existence of positive solutions of semilinear elliptic equations in $$\mathbb{R}^ N$$. Zbl 0803.35044
Cao, D. M.
1993
Solutions for the prescribing mean curvature equation. Zbl 1161.35014
Cao, Dao-Min; Peng, Shuang-Jie
2008
Eigenvalue problems and bifurcation of semilinear elliptic equation in $$\mathbb{R}^ N$$. Zbl 0829.35092
Cao, D. M.
1995
Symmetric solutions for a Neumann problem involving critical exponent. Zbl 1200.35145
Cao, Daomin; Noussair, E. S.; Yan, Shusen
2001
Non-stationary Navier-Stokes equations with mixed boundary conditions. Zbl 1375.35320
Kim, Tujin; Cao, Daomin
2017
Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential. Zbl 1310.35211
Cao, Daomin; Han, Pigong
2010
Divergent solutions to the 5D Hartree equations. Zbl 1238.35108
Cao, Daomin; Guo, Qing
2011
Concentration of solutions for the Yamabe problem on half-spaces. Zbl 1293.53048
Cao, Daomin; Peng, Shuangjie
2013
Uniqueness of the positive solution for singular nonlinear boundary value problems. Zbl 0789.34025
Deng, Yinbin; Cao, Daomin
1993
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains. Zbl 1405.35071
Kim, Tujin; Cao, Daomin
2018
Multiplicity results for an inhomogeneous nonlinear elliptic problem. Zbl 1042.35012
Noussair, Ezzat S.; Cao, Daomin
1998
On a semilinear Robin problem involving critical Sobolev exponent. Zbl 0993.35033
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2001
Existence of solutions to the heat convection equations in a time-dependent domain with mixed boundary conditions. Zbl 1331.35280
Kim, Tujin; Cao, Daomin
2015
Positive solutions to an $$m$$-point boundary value problem. Zbl 1005.34009
Ma, Ruyun; Cao, Daomin
2002
A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids. Zbl 1433.35283
Kim, Tujin; Cao, Daomin
2020
Multiple positive solutions of inhomogeneous semilinear elliptic equations in unbounded domains in $$\mathbb{R}^ 2$$. Zbl 0827.35043
Cao, Daomin
1994
Existence and symmetry of solutions to 2-D Schrödinger-Newton equations. Zbl 1466.35211
Cao, Daomin; Dai, Wei; Zhang, Yang
2021
Nonlinear stability of planar vortex patches in an ideal fluid. Zbl 1467.76032
Cao, Daomin; Wang, Guodong
2021
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation. Zbl 1476.35280
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun
2021
A Neumann problem in exterior domain. Zbl 0998.35018
Cao, Daomin; Lucia, Marcello; Zhou, Huan-Song
2001
A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents. Zbl 1040.35023
Cao, Daomin; Han, Pigong
2003
On the profile of solutions for an elliptic problem arising in nonlinear optics. Zbl 1081.35009
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2004
Bifurcation for quasilinear elliptic systems on $$R^ n$$ with natural growth conditions. Zbl 0744.35006
Cao, Daomin
1991
Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians. Zbl 1465.35388
Cao, Daomin; Dai, Wei; Qin, Guolin
2021
Singularly perturbed methods for nonlinear elliptic problems. Zbl 1465.35003
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2021
Desingularization of vortex rings in 3 dimensional Euler flows. Zbl 1451.35120
Cao, Daomin; Wan, Jie; Zhan, Weicheng
2021
Existence and symmetry of solutions to 2-D Schrödinger-Newton equations. Zbl 1466.35211
Cao, Daomin; Dai, Wei; Zhang, Yang
2021
Nonlinear stability of planar vortex patches in an ideal fluid. Zbl 1467.76032
Cao, Daomin; Wang, Guodong
2021
Existence and regularity of co-rotating and traveling-wave vortex solutions for the generalized SQG equation. Zbl 1476.35280
Cao, Daomin; Qin, Guolin; Zhan, Weicheng; Zou, Changjun
2021
Liouville type theorems for fractional and higher-order fractional systems. Zbl 1466.35118
Cao, Daomin; Qin, Guolin
2021
The number of positive solutions to the Brezis-Nirenberg problem. Zbl 1471.35140
Cao, Daomin; Luo, Peng; Peng, Shuangjie
2021
Rotating vortex patches for the planar Euler equations in a disk. Zbl 1455.35180
Cao, Daomin; Wan, Jie; Wang, Guodong; Zhan, Weicheng
2021
Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials. Zbl 1458.35165
Cao, Daomin; Jia, Huifang; Luo, Xiao
2021
Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. Zbl 1461.76082
Cao, Daomin; Wang, Guodong; Zhan, Weicheng
2020
A note on steady vortex flows in two dimensions. Zbl 1431.33015
Cao, Daomin; Wang, Guodong
2020
A non-steady system with friction boundary conditions for flow of heat-conducting incompressible viscous fluids. Zbl 1433.35283
Kim, Tujin; Cao, Daomin
2020
Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc. Zbl 1433.35250
Cao, Daomin; Wan, Jie; Wang, Guodong
2020
On ground state of fractional spinor Bose Einstein condensates. Zbl 1437.35172
Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua
2020
Existence of steady multiple vortex patches to the vortex-wave system. Zbl 1458.35159
Cao, Daomin; Wang, Guodong
2020
Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity. Zbl 1437.35383
Cao, Daomin; Dai, Wei
2019
Steady vortex patches with opposite rotation directions in a planar ideal fluid. Zbl 1450.76003
Cao, Daomin; Wang, Guodong
2019
Local uniqueness for vortex patch problem in incompressible planar steady flow. Zbl 1436.35153
Cao, Daomin; Guo, Yuxia; Peng, Shuangjie; Yan, Shusen
2019
Nonlinear orbital stability for planar vortex patches. Zbl 1444.76036
Cao, Daomin; Wan, Jie; Wang, Guodong
2019
Steady vortex patch solutions to the vortex-wave system. Zbl 1411.76027
Cao, Daomin; Wang, Guodong
2019
Nodal solutions for a supercritical semilinear problem with variable exponent. Zbl 1392.35156
Cao, Daomin; Li, Shuanglong; Liu, Zhongyuan
2018
Sign-changing bubble tower solutions for the supercritical Hénon-type equations. Zbl 1403.35108
Cao, Daomin; Liu, Zhongyuan; Peng, Shuangjie
2018
Regularization of planar vortices for the incompressible flow. Zbl 1438.35191
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2018
High energy solutions of the Choquard equation. Zbl 1397.35238
Cao, Daomin; Li, Hang
2018
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains. Zbl 1405.35071
Kim, Tujin; Cao, Daomin
2018
Non-stationary Navier-Stokes equations with mixed boundary conditions. Zbl 1375.35320
Kim, Tujin; Cao, Daomin
2017
The steady Navier-Stokes and Stokes systems with mixed boundary conditions including one-sided leaks and pressure. Zbl 1372.35116
Kim, Tujin; Cao, Daomin
2016
Dynamics for a stochastic reaction-diffusion equation with additive noise. Zbl 1323.35226
Cao, Daomin; Sun, Chunyou; Yang, Meihua
2015
Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations. Zbl 1338.35404
Cao, Daomin; Li, Shuanglong; Luo, Peng
2015
Planar vortex patch problem in incompressible steady flow. Zbl 1480.35318
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2015
Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions. Zbl 1304.35551
Kim, Tujin; Cao, Daomin
2015
Existence of solutions to the heat convection equations in a time-dependent domain with mixed boundary conditions. Zbl 1331.35280
Kim, Tujin; Cao, Daomin
2015
Regularization of point vortices pairs for the Euler equation in dimension two. Zbl 1293.35223
Cao, Daomin; Liu, Zhongyuan; Wei, Juncheng
2014
Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation. Zbl 1287.35096
Cao, Daomin; Su, Yiming
2013
On the webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry. Zbl 1277.32041
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2013
Continuous dependence of Cauchy problem for nonlinear Schrödinger equation in $$H^s$$. Zbl 1284.35395
Dai, Wei; Yang, Weihua; Cao, Daomin
2013
Concentration of solutions for the Yamabe problem on half-spaces. Zbl 1293.53048
Cao, Daomin; Peng, Shuangjie
2013
Infinitely many solutions for $$p$$-Laplacian equation involving critical Sobolev growth. Zbl 1238.35038
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2012
On ground state of spinor Bose-Einstein condensates. Zbl 1228.35218
Cao, Daomin; Chern, I-Liang; Wei, Jun-Cheng
2011
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth. Zbl 1223.35170
Cao, Daomin; Yan, Shusen
2011
Divergent solutions to the 5D Hartree equations. Zbl 1238.35108
Cao, Daomin; Guo, Qing
2011
Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential. Zbl 1194.35161
Cao, Daomin; Yan, Shusen
2010
Multiplicity of solutions for the plasma problem in two dimensions. Zbl 1200.35130
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2010
Local exact controllability of the Navier-Stokes equations with the condition on the pressure on parts of the boundary. Zbl 1202.35156
Kim, Tujin; Cao, Daomin
2010
Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential. Zbl 1310.35211
Cao, Daomin; Han, Pigong
2010
Semi-classical bound states for Schrödinger equations with potentials vanishing or unbounded at infinity. Zbl 1185.35248
Cao, Daomin; Peng, Shuangjie
2009
Asymptotic behaviour of ground state solutions for the Hénon equation. Zbl 1169.35377
Cao, Daomin; Peng, Shuangjie; Yan, Shusen
2009
Non-autonomous wave dynamics with memory – asymptotic regularity and uniform attractors. Zbl 1170.35026
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2008
Results on positive solutions of elliptic equations with a critical Hardy-Sobolev operator. Zbl 1179.35138
Cao, Daomin; Li, Yanyan
2008
Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1167.35042
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2008
Solutions for the prescribing mean curvature equation. Zbl 1161.35014
Cao, Dao-Min; Peng, Shuang-Jie
2008
Uniform attractors for nonautonomous wave equations with nonlinear damping. Zbl 1210.35160
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2007
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains. Zbl 1125.60064
Wang, Wei; Cao, Daomin; Duan, Jinqiao
2007
Critical Neumann problem with competing Hardy potentials. Zbl 1132.35307
Cao, Daomin; Chabrowski, Jan
2007
Solutions to critical elliptic equations with multi-singular inverse square potentials. Zbl 1198.35086
Cao, Daomin; Han, Pigong
2006
Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay. Zbl 1113.34052
Tang, Xianhua; Cao, Daomin; Zou, Xingfu
2006
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity. Zbl 1113.35133
Sun, Chunyou; Cao, Daomin; Duan, Jinqiao
2006
Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields. Zbl 1357.35258
Cao, Daomin; Tang, Zhongwei
2006
Multi-bump bound states of Schrödinger equations with a critical frequency. Zbl 1123.35061
Cao, Daomin; Peng, Shuangjie
2006
Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth. Zbl 1232.35058
Cao, Daomin; Peng, Shuangjie
2006
High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities. Zbl 1331.35140
Cao, Daomin; Han, Pigong
2006
Existence and multiplicity of positive solutions for singular semipositone $$p$$-Laplacian equations. Zbl 1122.34014
Agarwal, Ravi P.; Cao, Daomin; Lü, Haishen; O&rsquo;Regan, Donal
2006
Positive solutions for some singular critical growth nonlinear elliptic equations. Zbl 1273.35124
Cao, Daomin; He, Xiaoming; Peng, Shuangjic
2005
Solutions for semilinear elliptic equations with critical exponents and Hardy potential. Zbl 1154.35346
Cao, Daomin; Han, Pigong
2004
Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations. Zbl 1063.35142
Cao, Daomin; Noussair, Ezzat S.
2004
Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents. Zbl 1109.35037
Cao, Daomin; Han, Pigong
2004
On the profile of solutions for an elliptic problem arising in nonlinear optics. Zbl 1081.35009
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2004
A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms. Zbl 1140.35412
Cao, Daomin; Peng, Shuangjie
2003
The asymptotic behaviour of the ground state solutions for Hénon equation. Zbl 1086.35036
Cao, Daomin; Peng, Shuangjie
2003
A global compactness result for singular elliptic problems involving critical Sobolev exponent. Zbl 1075.35009
Cao, Daomin; Peng, Shuangjie
2003
Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations. Zbl 1142.35601
Cao, Daomin; Heinz, Hans-Peter
2003
Solutions with prescribed number of nodes to superlinear elliptic systems. Zbl 1073.35078
Cao, Daomin; Tang, Zhongwei
2003
A note on the positive energy solutions for elliptic equations involving critical Sobolev exponents. Zbl 1040.35023
Cao, Daomin; Han, Pigong
2003
On the scalar curvature equation $$-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}$$ in $${\mathbb R}^N$$. Zbl 1148.35319
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2002
Positive solutions to an $$m$$-point boundary value problem. Zbl 1005.34009
Ma, Ruyun; Cao, Daomin
2002
Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem. Zbl 1140.35440
Cao, Daomin; Noussair, E. S.; Yan, Shusen
2001
The effect of geometry of the domain boundary in an elliptic Neumann problem. Zbl 1140.35411
Cao, Daomin; Noussair, Ezzat S.
2001
Symmetric solutions for a Neumann problem involving critical exponent. Zbl 1200.35145
Cao, Daomin; Noussair, E. S.; Yan, Shusen
2001
On a semilinear Robin problem involving critical Sobolev exponent. Zbl 0993.35033
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
2001
A Neumann problem in exterior domain. Zbl 0998.35018
Cao, Daomin; Lucia, Marcello; Zhou, Huan-Song
2001
Positive solutions to a second-order multi-point boundary-value problem. Zbl 0964.34022
Cao, Daomin; Ma, Ruyun
2000
Multi-peak solutions for a singularly perturbed semilinear elliptic problem. Zbl 0966.35039
Cao, Daomin; Noussair, Ezzat S.
2000
Existence of symmetric multi-peaked solutions to singularly perturbed semilinear elliptic problems. Zbl 0963.35059
Cao, Daomin; Noussair, Ezzat S.
2000
Solutions with multiple peaks for nonlinear elliptic equations. Zbl 0928.35048
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
1999
On the existence of multipeaked solutions to a semilinear Neumann problem. Zbl 0942.35085
Cao, Daomin; Küpper, Tassilo
1999
Existence and uniqueness results on single-peaked solutions of a semilinear problem. Zbl 0905.35033
Cao, Daomin; Noussair, Ezzat S.; Yan, Shusen
1998
Multiplicity results for an inhomogeneous nonlinear elliptic problem. Zbl 1042.35012
Noussair, Ezzat S.; Cao, Daomin
1998
Advances in nonlinear partial differential equations and related areas. Proceedings of a conference dedicated to Professor Xiaqi Ding on the occasion of his 70th birthday, Beijing, China, August 9–10, 1997. Zbl 0915.00067
1998
Multiplicity of positive solutions for semilinear elliptic equations involving the critical Sobolev exponents. Zbl 0879.35055
Cao, Daomin; Zhong, Xiao
1997
Multiple solutions of nonhomogeneous elliptic equation with critical nonlinearity. Zbl 0889.35033
Cao, D.; Chabrowski, J.
1997
Multiple positive solutions of nonhomogeneous semilinear elliptic equations in $$\mathbb{R}^ N$$. Zbl 0846.35042
Cao, Daomin; Zhou, Huansong
1996
Multiplicity of positive and nodal solutions for nonlinear elliptic problems in $$\mathbb{R}^ N$$. Zbl 0859.35032
Cao, Daomin; Noussair, Ezzat S.
1996
On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems. Zbl 0947.35073
Cao, Daomin; Dancer, Norman E.; Noussair, Ezzat S.; Yan, Shunsen
1996
On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents. Zbl 0849.35027
Cao, Daomin; Zhou, Huansong
1996
Multiple positive and nodal solutions for semilinear elliptic problems with critical exponents. Zbl 0849.35030
Cao, Daomin; Noussair, Ezzat S.
1995
Eigenvalue problems and bifurcation of semilinear elliptic equation in $$\mathbb{R}^ N$$. Zbl 0829.35092
Cao, D. M.
1995
Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent. Zbl 0814.35026
Cao, Dao-Min; Li, Gong-Bao; Zhou, Huan-Song
1994
Multiple positive solutions of inhomogeneous semilinear elliptic equations in unbounded domains in $$\mathbb{R}^ 2$$. Zbl 0827.35043
Cao, Daomin
1994
Multiple solutions for a Neumann problem in an exterior domain. Zbl 0803.35049
Cao, D. M.
1993
...and 11 more Documents
all top 5

### Cited by 1,110 Authors

 65 Peng, Shuangjie 56 Cao, Daomin 39 Kang, Dongsheng 36 Yan, Shusen 35 Alves, Claudianor Oliveira 28 Do Ó, João M. Bezerra 27 Deng, Yinbin 24 Tang, Xianhua 22 Guo, Yuxia 22 Hsu, TsingSan 22 Wang, Chunhua 21 Lu, Guozhen 21 Miyagaki, Olimpio Hiroshi 21 Wei, Juncheng 19 Tang, Zhongwei 19 Zhang, Jihui 17 Lin, Hueili 17 Severo, Uberlandio Batista 17 Sun, Chunyou 17 Wu, Tsungfang 15 Yang, Minbo 14 de Souza, Manassés X. 14 Li, Gongbao 13 Han, Pigong 13 Wang, Guodong 13 Xie, Yongqin 12 Bartsch, Thomas J. 12 Dai, Wei 12 Guo, Qianqiao 12 Liang, Sihua 12 Liu, Zhongyuan 11 Aouaoui, Sami 11 Figueiredo, Giovany Malcher 11 Lam, Nguyen 11 Liu, Xiangqing 11 Long, Wei 11 Medeiros, Everaldo S. 11 Zhou, Feng 11 Zhu, Kaixuan 10 Albuquerque, Francisco S. B. Albuquerque 10 Chen, Sitong 10 Liu, Jiaquan 10 Wang, Zhi-Qiang 10 Zhang, Jianjun 10 Zou, Wenming 9 Guo, Yujin 9 Liu, Weiming 9 Luo, Peng 9 Qin, Guolin 8 Chen, Lu 8 Moreira dos Santos, Ederson 8 Musso, Monica 8 Niu, Pengcheng 8 Noussair, Ezzat S. 8 Pistoia, Angela 8 Rădulescu, Vicenţiu D. 8 Wang, Bixiang 8 Xu, Changjin 7 Furtado, Marcelo Fernandes 7 Liu, Zhaoxia 7 Luo, Yong 7 Ruf, Bernhard 7 Shen, Liejun 7 Tang, Chun-Lei 7 Tian, ShuYing 7 Wan, Jie 7 Xiang, Changlin 7 Yang, Jing 7 Yang, Lu 7 Yang, Yunyan 7 Zhang, Zhitao 7 Zhao, Junfang 7 Zhu, Maochun 6 Chen, Haibo 6 Del Pino, Manuel A. 6 He, Haiyang 6 Ishiwata, Michinori 6 Kajikiya, Ryuji 6 Li, Yangrong 6 Liu, Ting 6 Nguyễn Văn Hoàng 6 Peng, Yanfang 6 Shuai, Wei 6 Tang, Chunlei 6 Yang, Jianfu 6 Zhao, Wenqiang 6 Zhong, Chengkui 5 Bhakta, Mousomi 5 Byeon, Jaeyoung 5 Chen, Jianqing 5 Chen, Wenjing 5 Dancer, Edward Norman 5 Gao, Fashun 5 Gao, Fengshuang 5 Guo, Qing 5 He, Xiaoming 5 Ji, Chao 5 Jin, Lingyu 5 Liu, Yanjun 5 Liu, Zhijun ...and 1,010 more Authors
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### Cited in 170 Serials

 128 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 113 Journal of Differential Equations 110 Journal of Mathematical Analysis and Applications 52 Calculus of Variations and Partial Differential Equations 45 Discrete and Continuous Dynamical Systems 36 Communications on Pure and Applied Analysis 33 Journal of Mathematical Physics 29 Boundary Value Problems 27 Applicable Analysis 27 Applied Mathematics Letters 27 Advanced Nonlinear Studies 24 Journal of Functional Analysis 23 Communications in Contemporary Mathematics 23 Complex Variables and Elliptic Equations 22 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Nonlinear Analysis. Real World Applications 18 Discrete and Continuous Dynamical Systems. Series B 18 Science China. Mathematics 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Transactions of the American Mathematical Society 15 Computers & Mathematics with Applications 15 Acta Mathematicae Applicatae Sinica. English Series 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 NoDEA. Nonlinear Differential Equations and Applications 13 Mathematical Methods in the Applied Sciences 13 The Journal of Geometric Analysis 13 Topological Methods in Nonlinear Analysis 13 Abstract and Applied Analysis 13 Advances in Nonlinear Analysis 12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Acta Mathematica Scientia. Series B. (English Edition) 10 Mathematische Nachrichten 10 Advances in Difference Equations 9 Nonlinearity 9 Communications in Partial Differential Equations 8 Mathematische Annalen 8 Proceedings of the American Mathematical Society 8 Acta Mathematica Sinica. English Series 7 Applied Mathematics and Computation 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Mathematical Analysis 6 Archive for Rational Mechanics and Analysis 6 Journal d’Analyse Mathématique 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Potential Analysis 6 Journal of Mathematical Fluid Mechanics 6 Mediterranean Journal of Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications 6 Electronic Research Archive 5 Advances in Mathematics 5 Journal of Applied Mathematics and Computing 5 Milan Journal of Mathematics 5 Journal of Fixed Point Theory and Applications 5 International Journal of Differential Equations 4 Bulletin of the Australian Mathematical Society 4 Israel Journal of Mathematics 4 Acta Applicandae Mathematicae 4 Asymptotic Analysis 4 Journal of Dynamics and Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Journal of Inequalities and Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Discrete and Continuous Dynamical Systems. Series S 4 Annals of Functional Analysis 4 AIMS Mathematics 4 SN Partial Differential Equations and Applications 3 Duke Mathematical Journal 3 Physica D 3 Science in China. Series A 3 International Journal of Mathematics 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Applied Mathematics. Series B (English Edition) 3 Bulletin des Sciences Mathématiques 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Taiwanese Journal of Mathematics 3 Stochastics and Dynamics 3 Differential Equations and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Bulletin of Mathematical Sciences 3 Journal of Function Spaces 2 Communications in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Journal of the Korean Mathematical Society 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Quarterly of Applied Mathematics 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Stochastic Analysis and Applications 2 Revista Matemática Iberoamericana 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Differential Geometry and its Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Opuscula Mathematica ...and 70 more Serials
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### Cited in 34 Fields

 1,213 Partial differential equations (35-XX) 81 Operator theory (47-XX) 80 Global analysis, analysis on manifolds (58-XX) 77 Functional analysis (46-XX) 72 Dynamical systems and ergodic theory (37-XX) 58 Fluid mechanics (76-XX) 57 Ordinary differential equations (34-XX) 41 Real functions (26-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 31 Biology and other natural sciences (92-XX) 24 Probability theory and stochastic processes (60-XX) 23 Quantum theory (81-XX) 19 Differential geometry (53-XX) 19 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 10 Integral equations (45-XX) 8 Potential theory (31-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 5 Astronomy and astrophysics (85-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 4 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Functions of a complex variable (30-XX) 3 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Operations research, mathematical programming (90-XX)