D. Cao

发表

Existence and Multiplicity of Positive Solutions for Singular Semipositone p-Laplacian Equations

D. O’Regan, R. Agarwal, D. Cao, 2006, Canadian Journal of Mathematics.

Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay

X. Zou, D. Cao, Xianhua Tang, 2006 .

A Sufficient Condition for Non-Explosion for a Class of Stochastic Partial Differential Equations

Jinqiao Duan, D. Cao, Hongbo Fu, 2010 .

On the scalar curvature equation $-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}$ in ${\mathbb R}^{N}$

D. Cao, Shusen Yan, E. Noussair, 2002 .

Multiple positive solutions of nonhomogeneous elliptic systems with strongly indefinite structure and critical Sobolev exponents

D. Cao, P. Han, 2004 .

The steady Navier-Stokes and Stokes systems with mixed boundary conditions including one-sided leaks and pressure

D. Cao, Tujin Kim, 2016, 1611.08336.

Some properties on the surfaces of vector fields and its application to the Stokes and Navier–Stokes problems with mixed boundary conditions

D. Cao, Tujin Kim, 2015 .

Local uniqueness of vortices for 2D steady Euler flow in a bounded domain

D. Cao, C. Zou, Weilin Yu, 2020, Journal of Functional Analysis.

Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping

Jinqiao Duan, D. Cao, Chunyou Sun, 2006, SIAM J. Appl. Dyn. Syst..

Effective Macroscopic Dynamics of Stochastic Partial Differential Equations in Perforated Domains

Jinqiao Duan, D. Cao, Wei Wang, 2007, SIAM J. Math. Anal..

Vortex patch problem for steady lake equation

D. Cao, C. Zou, Guolin Qin, 2022, Journal of Mathematical Physics.

HIGH ENERGY SOLUTIONS OF THE CHOQUARD EQUATION

D. Cao, 2018 .

The asymptotic behaviour of the ground state solutions for Hénon equation

D. Cao, Shuangjie Peng, 2003 .

Solutions for the prescribing mean curvature equation

D. Cao, Shuangjie Peng, 2008 .

Structure of Green’s function of elliptic equations and helical vortex patches for 3D incompressible Euler equations

D. Cao, Jie Wan, 2022, Mathematische Annalen.

Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

D. Cao, Peng Luo, Shuanglong Li, 2015, Calculus of Variations and Partial Differential Equations.

Nodal solutions for a supercritical semilinear problem with variable exponent

D. Cao, Zhongyuan Liu, Shuanglong Li, 2018, Calculus of Variations and Partial Differential Equations.

On a variational problem proposed by H. Bre´zis

D. Cao, Gongbao Li, 1993 .

Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation

D. Cao, Guolin Qin, Shanfa Lai, 2023, 2301.00368.

Existence of traveling asymmetric vortex pairs in an ideal fluid

D. Cao, C. Zou, Guolin Qin, 2023, Journal of Differential Equations.

Ja n 20 13 Multiple Vortices for the Shallow Water Equation

D. Cao, Zhongyuan Liu, 2019 .

Multiple Vortices for the Shallow Water Equation

D. Cao, Zhongyuan Liu, 2013, 1301.6420.

Dynamics for a stochastic reaction–diffusion equation with additive noise

Daomin Cao, Chunyou Sun, Meihua Yang, 2015 .

Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential

D. Cao, Shusen Yan, 2010 .

Existence of optical vortices in R2

D. Cao, Qing Guo, Hang Li, 2019 .

On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to $$L^2$$ L 2 -Critical Nonlinear Schrödinger Equations

D. Cao, Deng Zhang, Yiming Su, 2021, Archive for Rational Mechanics and Analysis.

On Uniqueness of Multi-bubble Blow-Up Solutions and Multi-solitons to -Critical Nonlinear Schrödinger Equations

P. Rabinowitz, D. Cao, Deng Zhang, 2023 .

Singularly Perturbed Methods for Nonlinear Elliptic Problems

D. Cao, Shusen Yan, Shuangjie Peng, 2021 .

The number of positive solutions to the Brezis-Nirenberg problem

D. Cao, Shuangjie Peng, Peng Luo, 2020, 2003.03673.

Local uniqueness for vortex patch problem in incompressible planar steady flow

D. Cao, Shusen Yan, Yuxia Guo, 2019, Journal de Mathématiques Pures et Appliquées.

Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations

D. Cao, H. Heinz, 2003 .

Multiscale Steady Vortex Patches for 2D Incompressible Euler Equations

D. Cao, Jie Wan, 2022, SIAM J. Math. Anal..

Desingularization of vortex rings in 3 dimensional Euler flows

D. Cao, Weicheng Zhan, Jie Wan, 2019, Journal of Differential Equations.

Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid

D. Cao, Guodong Wang, 2017, Journal of Mathematical Fluid Mechanics.

Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method

Daomin Cao, Guodong Wang, Weicheng Zhan, 2020, SIAM J. Math. Anal..

Existence of steady multiple vortex patches to the vortex-wave system

D. Cao, Guodong Wang, 2018, Pacific Journal of Mathematics.

On desingularization of steady vortex in the lake equations

D. Cao, C. Zou, Weicheng Zhan, 2019, 1911.01037.

Steady vortex patches near a nontrivial irrotational flow

D. Cao, Guodong Wang, Weicheng Zhan, 2019, Science China Mathematics.

Steady vortex patches near a nontrivial irrotational flow

D. Cao, Guodong Wang, Weicheng Zhan, 2019, Science China Mathematics.

Planar vortex patch problem in incompressible steady flow

D. Cao, Shusen Yan, Shuangjie Peng, 2015 .

Regularization of Point Vortices Pairs for the Euler Equation in Dimension Two

Juncheng Wei, D. Cao, Zhongyuan Liu, 2012, 1208.3002.

Multiplicity of solutions for the plasma problem in two dimensions

D. Cao, Shusen Yan, Shuangjie Peng, 2010 .

Desingularization of 3D steady Euler equations with helical symmetry

D. Cao, Jie Wan, 2022, Calculus of Variations and Partial Differential Equations.

Existence, uniqueness and stability of steady vortex rings of small cross-section

D. Cao, C. Zou, Guolin Qin, 2022, 2201.08232.

Existence and stability of smooth traveling circular pairs for the generalized surface quasi-geostrophic equation

D. Cao, C. Zou, Guolin Qin, 2021, 2103.04041.

Liouville type theorems for fractional and higher-order fractional systems

Daomin Cao, Guolin Qin, D. Cao, 2019, Discrete & Continuous Dynamical Systems - A.

Super poly-harmonic properties, Liouville theorems and classification of nonnegative solutions to equations involving higher-order fractional Laplacians

D. Cao, Wei Dai, Guolin Qin, 2019, Transactions of the American Mathematical Society.

Liouville type theorems for fractional and higher-order fractional H\'enon-Lane-Emden systems

D. Cao, Guolin Qin, 2019 .

Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity

D. Cao, Wei Dai, 2019, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Super poly-harmonic properties for nonnegative solutions to equations involving higher-order fractional Laplacians and its applications

D. Cao, Wei Dai, Guolin Qin, 2019 .

A P ] 1 0 M ay 2 01 9 SUPER POLY-HARMONIC PROPERTIES FOR NONNEGATIVE SOLUTIONS TO EQUATIONS INVOLVING HIGHER-ORDER FRACTIONAL LAPLACIANS AND ITS APPLICATIONS

D. Cao, Wei Dai, Guolin Qin, 2019 .

Existence and symmetry of solutions to 2-D Schrödinger–Newton equations

D. Cao, Wei Dai, Yang Zhang, 2020, 2007.12907.

Standing waves with prescribed mass for the Schrödinger equations with van der Waals type potentials

D. Cao, Xiaoyutao Luo, Huifang Jia, 2020, 2007.00467.

On ground state of spinor Bose–Einstein condensates

I-Liang Chern, Daomin Cao, I. Chern, 2011 .

Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation

D. Cao, Yiming Su, 2013 .

Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential

D. Cao, P. Han, 2010 .

Multiplicity of positive and nodal solutions for nonlinear elliptic problems in $\mathbb {R}^N$

D. Cao, E. Noussair, 1996 .

High energy solution of the Choquard equation

D. Cao, Hang Li, 2017, 1709.01817.

Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

D. Cao, Shuanglong Li, Peng Luo, 2015, 1504.06144.

Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth

D. Cao, Shusen Yan, Shuangjie Peng, 2012 .

Existence and uniqueness results on Single-Peaked solutions of a semilinear problem

D. Cao, Shusen Yan, E. Noussair, 1998 .

On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

D. Cao, Shusen Yan, Shuangjie Peng, 2008, 0811.4255.

Helical vortices with small cross-section for 3D incompressible Euler equation

D. Cao, Jie Wan, 2022, Journal of Functional Analysis.

Regularization of planar vortices for the incompressible flow

D. Cao, Shusen Yan, Shuangjie Peng, 2018, Acta Mathematica Scientia.

Regularization of Point Vortices Pairs for the Euler Equation in Dimension Two

Juncheng Wei, D. Cao, Zhongyuan Liu, 2013, Archive for Rational Mechanics and Analysis.

Regularization of point vortices for the Euler equation in dimension two, part II

Juncheng Wei, D. Cao, Zhongyuan Liu, 2012, 1208.5540.

On the Webster Scalar Curvature Problem on the CR Sphere with a Cylindrical-Type Symmetry

D. Cao, Shusen Yan, Shuangjie Peng, 2012, Journal of Geometric Analysis.

Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field

D. Cao, Weilin Yu, Shanfa Lai, 2023, Journal of Mathematical Physics.

Continuous Dependence of Cauchy Problem For Nonlinear Schr

D. Cao, Weihua Yang, Wei Dai, 2010, 1009.2005.

Asymptotic behaviour of global vortex rings

D. Cao, Guodong Wang, Weicheng Zhan, 2019, Nonlinearity.

On the steady axisymmetric vortex rings for 3-D incompressible Euler flows

D. Cao, Weicheng Zhan, 2020, 2009.13210.

A P ] 1 5 O ct 2 01 9 ASYMPTOTIC BEHAVIOR OF GLOBAL VORTEX RINGS

D. Cao, Guodong Wang, Weicheng Zhan, 2019 .

Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

Daomin Cao, Changjun Zou, Guolin Qin, 2021, Nonlinear Analysis.

Existence of stationary vortex sheets for the 2D incompressible Euler equation

Daomin Cao, Changjun Zou, Guolin Qin, 2021, Canadian Journal of Mathematics.

Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity

Daomin Cao, Jinqiao Duan, Chunyou Sun, 2006, math/0607774.

Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R

D. Cao, 1992 .

Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields

Daomin Cao, Zhongwei Tang, D. Cao, 2006 .

Solutions with multiple peaks for nonlinear elliptic equations

D. Cao, Shusen Yan, E. Noussair, 1999, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains

D. Cao, Tujin Kim, 2016, Journal of Differential Equations.

YAMABE PROBLEM IN Rn AND RELATED PROBLEMS

D. Cao, 1990 .

Stability of degree-2 Rossby-Haurwitz waves

D. Cao, Guodong Wang, Bijun Zuo, 2023, 2305.03279.

Steady vortex patches with opposite rotation directions in a planar ideal fluid

D. Cao, Guodong Wang, 2019, Calculus of Variations and Partial Differential Equations.

Nonlinear orbital stability for planar vortex patches

D. Cao, Guodong Wang, Jie Wan, 2018, Proceedings of the American Mathematical Society.

Positive solutions for some singular critical growth nonlinear elliptic equations

D. Cao, S. Peng, Xiaoming He, 2005 .

Miscellanea of Analysis

D. Cao, Tujin Kim, 2021, Equations of Motion for Incompressible Viscous Fluids.

Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem

D. Cao, Shusen Yan, E. Noussair, 2001 .

Symmetric solutions for a Neumann problem involving critical exponent

D. Cao, Shusen Yan, E. Noussair, 2001, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Solutions to critical elliptic equations with multi-singular inverse square potentials

Daomin Cao, Pigong Han, D. Cao, 2006 .

Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN

D. Cao, Cao Dao-Min, Zhou Huan-song, 1996, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents

D. Cao, Huan-Song Zhou, 1996 .

Solutions for semilinear elliptic equations with critical exponents and Hardy potential

Daomin Cao, Pigong Han, D. Cao, 2004 .

Liouville type theorems for fractional and higher-order fractional H\'enon-Lane-Emden systems

D. Cao, Guolin Qin, 2019 .

Multiple solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent

D. Cao, Gongbao Li, Huan-Song Zhou, 1994, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations

D. Cao, Shusen Yan, E. Noussair, 2008 .

Multi-bump Bound States of Schrödinger Equations with a Critical Frequency

D. Cao, Shuangjie Peng, 2006 .

Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations

D. Cao, E. Noussair, 2004 .

Sign-changing bubble tower solutions for the supercritical Hénon-type equations

D. Cao, Zhongyuan Liu, Shuangjie Peng, 2018 .

On the existence of multipeaked solutions to a semilinear Neumann problem

T. Küpper, D. Cao, 1999 .

Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on R n

D. Cao, 1990 .

THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS

D. Cao, Xiping Zhu, 1989 .

A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms $

Daomin Cao, Shuangjie Peng, D. Cao, 2003 .

A global compactness result for singular elliptic problems involving critical Sobolev exponent

D. Cao, Shuangjie Peng, 2002 .

Asymptotic behavior for elliptic problems with singular coefficient and nearly critical Sobolev growth

D. Cao, Shuangjie Peng, 2006 .

Mixed boundary value problems of the system for steady flow of heat-conducting incompressible viscous fluids with dissipative heating

D. Cao, Tujin Kim, 2020 .

Nodal solutions for a supercritical semilinear problem with variable exponent

D. Cao, Shuanglong Li, Zhongyuan Liu, 2018 .

Rotating vortex patches for the planar Euler equations in a disk

D. Cao, Guodong Wang, Weicheng Zhan, 2019, Journal of Differential Equations.

The Non-steady Equations for Heat-Conducting Fluids

D. Cao, Tujin Kim, 2021, Equations of Motion for Incompressible Viscous Fluids.

A note on the positive energy solutions for elliptic equations involving critical sobolev exponents

Daomin Cao, Pigong Han, D. Cao, 2003, Appl. Math. Lett..

Semi-Classical Bound States for Schrödinger Equations with Potentials Vanishing or Unbounded at Infinity

D. Cao, Shuangjie Peng, 2009 .

Results on Positive Solutions of Elliptic Equations with a Critical Hardy-Sobolev Operator

Yanyan Li, D. Cao, 2008 .

Divergent solutions to the 5D Hartree equations

D. Cao, Qing Guo, 2011, 1101.2053.

The Steady Navier-Stokes System with Friction Boundary Conditions

D. Cao, Tujin Kim, 2021, Equations of Motion for Incompressible Viscous Fluids.

The Non-steady Navier-Stokes System

D. Cao, Tujin Kim, 2021, Equations of Motion for Incompressible Viscous Fluids.

Helical symmetry vortices for 3D incompressible Euler equations

D. Cao, Shanfa Lai, 2023, Journal of Differential Equations.

Stability of degree-2 Rossby-Haurwitz waves

D. Cao, Guodong Wang, Bijun Zuo, 2023, 2305.03279.

A Neumann problem in exterior domain

D. Cao, M. Lucia, Huan-Song Zhou, 2001 .

Non-stationary Navier-Stokes Equations with Mixed Boundary Conditions

D. Cao, Tujin Kim, 2016, 1611.08335.

Multi-soliton dynamics in the nonlinear Schr\"{o}dinger equation.

D. Cao, C. Zou, Qing Guo, 2020 .

High energy positive solutions of Neumann problem for an elliptic system of equations with critical nonlinearities

D. Cao, P. Han, 2006 .

Effective dynamicsof a coupled microscopic-macroscopic stochastic system

Jinqiao Duan, D. Cao, Hongbo Fu, 2010, 1011.2909.

Pullback attractors for 2D MHD equations on time-varying domains

Daomin Cao, Chunyou Sun, Xiaoya Song, 2021, Discrete & Continuous Dynamical Systems.

Existence of Solutions to the Heat Convection Equations in a Time-dependent Domain

D. Cao, Tujin Kim, 2015 .

Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth

D. Cao, Shusen Yan, 2011 .

Multiplicity of asymmetric solutions for nonlinear elliptic problems

D. Cao, Shusen Yan, E. Noussair, 2006 .

Existence of Steady Symmetric Vortex Patch in a Disk

D. Cao, Guodong Wang, Bijun Zuo, 2021, Journal of Mathematical Fluid Mechanics.

Traveling vortex pairs for 2D incompressible Euler equations

Daomin Cao, Weicheng Zhan, Shanfa Lai, 2020, Calculus of Variations and Partial Differential Equations.

Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc

D. Cao, Guodong Wang, Jie Wan, 2020 .

Desingularization of steady vortex of perturbation type in the lake equations

D. Cao, C. Zou, Jie Wan, 2019, 1912.11648.

Existence of Steady Symmetric Vortex Patch in a Disk

D. Cao, Guodong Wang, Bijun Zuo, 2018, Journal of Mathematical Fluid Mechanics.

Existence of steady symmetric vortex patch in an open disk

D. Cao, Guodong Wang, Bijun Zuo, 2018, 1807.02993.

Uniqueness of planar vortex patch in incompressible steady flow

D. Cao, Shusen Yan, Yuxia Guo, 2017, 1703.09863.

Steady vortex flows of perturbation type in a planar bounded domain

D. Cao, Guodong Wang, Zhan Weicheng, 2019, 1910.06550.

Existance of symmetric multi-peaked solutions to singularly perturbed semilinear elliptic problems

D. Cao, E. Noussair, 2000 .

Global solutions for the generalized SQG equation and rearrangements

D. Cao, C. Zou, Guolin Qin, 2021, 2103.03988.

Desingularization of vortices for 2D steady Euler flows via the vorticity method

D. Cao, Guodong Wang, Weicheng Zhan, 2019, 1910.03758.

A P ] 9 O ct 2 01 9 DESINGULARIZATION OF VORTICES FOR 2 D STEADY EULER FLOWS VIA THE VORTICITY METHOD

D. Cao, Guodong Wang, Weicheng Zhan, 2019 .

Concentration of solutions for the Yamabe problem on half-spaces

D. Cao, Shuangjie Peng, 2013, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On a semilinear Robin problem involving critical Sobolev exponent

D. Cao, Shusen Yan, E. Noussair, 2001 .

Critical Neumann problem with competing Hardy potentials

D. Cao, J. Chabrowski, 2007 .

Traveling vortex pairs for 2D Boussinesq equations

D. Cao, Guolin Qin, Shanfa Lai, 2022, 2203.16999.

Steady vortex patches with opposite rotation directions in a planar ideal fluid

D. Cao, Guodong Wang, 2019, Calculus of Variations and Partial Differential Equations.

Steady double vortex patches with opposite signs in a planar ideal fluid

D. Cao, Guodong Wang, 2017, 1709.07115.