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Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2003, Volume 131, Issue 6, pp. 1857 - 1866
Let \Omega \subset R^N be a bounded domain such that 0 \in \Omega, N \geq 3,2^*=\frac{2N}{N-2},\lambda \in R, \epsilon \in R . Let \{u_n\}\subset H_0^1(\Omega)... 
Topological compactness | Boundary value problems | Infinity | Applied mathematics | Critical points | Mathematical constants | Nonlinearity | Mathematical inequalities | Sobolev and Hardy critical exponents | Compactness | Palais-Smale sequence | MATHEMATICS | MATHEMATICS, APPLIED | compactness | BOUNDARY-VALUE-PROBLEMS | NONLINEARITIES
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 03/2020, Volume 148, Issue 3, pp. 1153 - 1159
In this note, we give a general criterion for steady vortex flows in a planar bounded domain. More specifically, we show that if the stream function satisfies... 
MATHEMATICS | semilinear elliptic equation | stream function | MATHEMATICS, APPLIED | VORTICES | steady vortex flow | Euler equations | REARRANGEMENTS | REGULARIZATION | CONFIGURATIONS
Journal Article
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, ISSN 0308-2105, 08/2019, Volume 149, Issue 4, pp. 979 - 994
... with Hartree type nonlinearity Daomin Cao School of Mathematics and Information Science, Guangzhou University, Guangzhou 510405, People’s Republic of China and Institute... 
SCHRODINGER-EQUATIONS | LOCAL BEHAVIOR | MATHEMATICS, APPLIED | SEMILINEAR ELLIPTIC-EQUATIONS | CONCENTRATION-COMPACTNESS PRINCIPLE | GLOBAL WELL-POSEDNESS | SOBOLEV | UNIQUENESS | MATHEMATICS | DIRICHLET BOUNDARY-CONDITIONS | Liouville type theorems | SYMMETRY | bi-harmonic | Hartree type nonlinearity | methods of moving planes | radial symmetry | nonnegative solutions | SCATTERING | Nonlinearity
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2011, Volume 251, Issue 6, pp. 1389 - 1414
In this paper, we prove the existence of infinitely many solutions for the following elliptic problem with critical Sobolev growth: − Δ u = | u | 2 ⁎ − 2 u + g... 
MATHEMATICS | EXPONENT | BOUNDARY | PEAK SOLUTIONS | CRITICAL NONLINEARITY | LEAST-ENERGY SOLUTIONS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 4/2019, Volume 58, Issue 2, pp. 1 - 17
... ideal fluid Daomin Cao 1,2 · Guodong Wang 3,4 Received: 19 January 2018 / Accepted: 25 February 2019 © Springer-Verlag GmbH Germany, part of Springer Nature 2019... 
Secondary 35B35 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 76B47 | Primary 76B03 | Mathematics | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | REARRANGEMENTS | POINTS | CONFIGURATIONS | FLOW | PAIRS | Information science | Force and energy | Resveratrol
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2020, Volume 484, Issue 1, p. 123676
•Estimations of approximate solutions with mixed boundary conditions.•Proof of relative compactness of approximate solutions for velocity.•Existence of... 
Dissipative heating | Heat-conducting fluids | Leak boundary conditions | Mixed boundary conditions | Tresca slip | Pressure boundary condition | EXISTENCE | MATHEMATICS, APPLIED | EQUATIONS | MATHEMATICS | NONSTATIONARY MOTION | REGULARITY | NAVIER-STOKES | WEAK SOLUTIONS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2003, Volume 278, Issue 1, pp. 1 - 17
The main purpose of this paper is to analyze the asymptotic behaviour of the ground state solution of Hénon equation − Δu=| x| α u p−1 in Ω, u=0 on ∂Ω ( Ω⊂R n... 
MATHEMATICS | MATHEMATICS, APPLIED | NEUMANN PROBLEM | CRITICAL SOBOLEV EXPONENT | POSITIVE SOLUTIONS | NONLINEAR ELLIPTIC-EQUATIONS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2006, Volume 222, Issue 2, pp. 381 - 424
In this paper, we are concerned with the existence and uniqueness of multi-bump bound states of the nonlinear Schrödinger equations with electromagnetic... 
Multi-bump bound states | Nonlinear Schrödinger equation | Magnetic fields | Existence and uniqueness | MATHEMATICS | magnetic fields | COMPETING POTENTIAL FUNCTIONS | POSITIVE SOLUTIONS | nonlinear Schrodinger equation | SEMICLASSICAL STATES | EXPONENT | MAGNETIC-FIELD | LIMIT | ELLIPTIC-EQUATIONS | existence and uniqueness | multi-bump bound states
Journal Article
RSC Advances, ISSN 2046-2069, 2017, Volume 7, Issue 57, pp. 36072 - 36080
Ethopabate (ETP) is a coccidiostat that is frequently used to prevent and treat coccidiosis in chickens. Illegal use and abuse of ETP can lead to drug residues... 
COCCIDIOSTATS | MOLECULARLY IMPRINTED POLYMER | PICOXYSTROBIN | EXTRACTION | LIQUID-CHROMATOGRAPHY | VALIDATION | MONOCLONAL-ANTIBODY | IMMUNOASSAYS | CHEMISTRY, MULTIDISCIPLINARY | HAPTEN SYNTHESIS | FEED
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2007, Volume 6, Issue 2, pp. 293 - 318
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2008, Volume 360, Issue 7, pp. 3813 - 3838
In this paper we study the existence and qualitative property of standing wave solutions \psi(x,t) = e^{-\frac{iEt}{\hbar}} u(x) for the nonlinear Schrödinger... 
Standing waves | Interior points | Critical points | Inner products | Uniqueness | Maximum principle | Ground state | Mountain passes | Critical frequencies | Mathematics | Critical point | Multiscale-bump | Variational method | Nonlinear Schrödinger equation | EXISTENCE | MATHEMATICS | FIELD-EQUATIONS | SEMICLASSICAL STATES | MULTILUMP BOUND-STATES | MULTIPLE POSITIVE SOLUTIONS | UNIQUENESS
Journal Article
11/2019
In this paper, we establish a decay estimate for the fractional and higher-order fractional H\'enon-Lane-Emden systems, which deduces a result of... 
Mathematics - Analysis of PDEs
Journal Article
by 曹然
金陵科技学院学报:社会科学版, ISSN 1673-131X, 2014, Volume 28, Issue 3, pp. 70 - 73
...第28卷第3期2014年9月金陵科技学院学报(社会科学版) Journal of Jinling Institute of Technology(Social Science) Vo1.28,No.3 Sep.,2014 从“公共新闻’’到“公民新闻’’近十年国内公共新闻理论研究的梳理与思考曹然(中国传媒大学新闻传播... 
公共新闻 | 公民新闻 | 理论研究
Journal Article
07/2017, Volume 7, Issue 57, pp. 3672 - 368
...† Zhaozhou Li, * Yao Wang, Daomin Li, Xiujin Chen, Zhili Li, Hongli Gao, Li Cao, Songbiao Li and Yuze Hou Ethopabate (ETP) is a coccidiostat that is frequently used... 
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 02/2020, Volume 51, p. 103008
In this paper, we construct two types of vortex patch equilibria for the two-dimensional Euler equations in a disc. The first type is called the “N+1 type”... 
Fluid dynamics | Vortex patch | Incompressible Euler flows | EXISTENCE | MATHEMATICS, APPLIED | NONLINEAR STABILITY | RINGS | REARRANGEMENTS | CONFIGURATIONS | FLOW | PAIRS | Economic models | Asymptotic properties | Mathematical analysis | Vortices | Patches (structures) | Vorticity | Euler-Lagrange equation | Kinetic energy | Symmetry
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 2010, Volume 225, Issue 5, pp. 2741 - 2785
Let Ω be a bounded domain in R 2 , u + = u if u ⩾ 0 , u + = 0 if u < 0 , u − = u + − u . In this paper we study the existence of solutions to the following... 
Multiple solutions | Free boundary | Variational method | Semilinear elliptic equations | Asymptotic behavior | EIGENVALUE PROBLEM | MATHEMATICS | SHAPE | FREE-BOUNDARY PROBLEMS
Journal Article
Journal of Geometric Analysis, ISSN 1050-6926, 10/2013, Volume 23, Issue 4, pp. 1674 - 1702
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2006, Volume 38, Issue 5, pp. 1508 - 1527
..., DAOMIN CAO, AND JINQIAO DUAN Dedicated to Philip Holmes on the occasion of his 60th birthday Abstract. An eective macroscopic model for a stochastic microscopic... 
White noise | Effective macroscopic model | Probability distribution | Stochastic homogenization | Perforated domain | Stochastic PDEs | MATHEMATICS, APPLIED | stochastic PDEs | white noise | effective macroscopic model | probability distribution | perforated domain | PARABOLIC EQUATION | HOMOGENIZATION | stochastic homogenization
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 04/2010, Volume 51, Issue 4, pp. 043505 - 043505-24
In this paper, we study the Cauchy problem of the inhomogeneous nonlinear Schrödinger equation with a harmonic potential: i ∂ t u = − div ( f ( x ) ∇ u ) + | x... 
CONDENSATE | NUMBER | VARIABLE-COEFFICIENTS | CAUCHY-PROBLEM | CRITICAL POWER | MANIFOLDS | BLOW-UP SOLUTIONS | PHYSICS, MATHEMATICAL | LOCAL EXISTENCE | FLOW | KLEIN-GORDON EQUATIONS
Journal Article
Analytical Methods, ISSN 1759-9660, 10/2015, Volume 7, Issue 21, pp. 9295 - 9303
... of ethopabate residues in chicken muscle Zhaozhou Li, * Zhili Li, Daomin Li, Hongli Gao, Xiujin Chen, Li Cao, Yuze Hou and Songbiao Li A new molecularly imprinted polymer... 
Scanning electron microscopy | Residues | Microspheres | Imprinted polymers | Chickens | Imaging | Muscles | Binding sites
Journal Article
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